JP6821951B2 - A coating method that forms a coating film with a uniform thickness in multiple adjacent regions. - Google Patents

Description

The present invention relates to a coating method for forming a coating film on a plurality of adjacent regions with a uniform thickness. More specifically, even when the coated surface is divided into a plurality of regions and coated with an inkjet print head, the adjacent plurality of regions are each formed. The present invention relates to a coating method capable of coating with a coating film having a uniform thickness.

Painting to obtain a coating film of uniform thickness on the order of microns, for example, painting on the vehicle body of an automobile is generally painted with a spray gun. However, when painting with a spray gun, the paint is ejected in the form of mist (mist), so the ratio of the amount of paint that adheres to the surface to be coated to the amount of total paint that is ejected from the spray gun, that is, the coating efficiency. Cannot be 100%. Even with the most excellent bell-shaped electrostatic spray gun in recent years, the coating efficiency is about 90%. The remaining about 10% becomes mist and is wasted in the air, and moreover, a large amount of capital investment is required to recover the dissipated paint. On the other hand, in the coating with an inkjet print head, since the coating material is ejected in a dot shape instead of a mist shape, it is expected that the coating with a coating efficiency of 100% can be realized. As an example thereof, there are those shown in Patent Documents 1 and 2.

The outline of coating with an inkjet print head will be described with reference to FIG. FIG. 19 is a perspective view showing a configuration example of a conventional inkjet printing apparatus. As a general rule, an inkjet print head 31 for ejecting paint, an X-axis moving mechanism 33 for reciprocating the inkjet print head 31 in the X-axis direction, and It is configured to include a Y-axis moving mechanism 34 that reciprocates the inkjet print head 31 in the Y-axis direction. The inkjet print head 31 is supported by an XY table 35 composed of an X-axis moving mechanism 33 and a Y-axis movement, and moves on the surface of the object to be coated 32 in the XY directions, and in the process, the inkjet print head 31 moves. A coating film is formed on the surface to be coated by ejecting dot-shaped paint downward toward the surface to be coated 32 from a plurality of nozzles (31) (not shown).

There is also a big problem in painting with such an inkjet printing device 30. This problem will be described below. When the distance from the inkjet print head 31 to the surface to be coated is short, 100% of the paint discharged from the inkjet print head 31 in a dot shape adheres to the surface to be coated. However, when the distance from the inkjet print head 31 to the surface to be coated is long, the paint ejected in the form of dots receives air resistance and changes into a mist from the middle, and does not reach the surface to be coated 100%. A part of the paint is scattered in the air and is wasted.

For example, when painting is performed by moving the inkjet print head 31 in the left-right direction on the object to be painted 32 having a curved surface as shown in FIG. 20, when the inkjet print head 31 is located substantially in the center, the object to be painted is to be painted. The surface 32a is close to the lower side of the inkjet print head 31, and the paint discharged from the inkjet print head 31 reaches the surface to be coated 32a in a dot shape. On the other hand, when the inkjet print head 31 is located on the right side (the position of the inkjet print head shown by the broken line) in FIG. 20, the surface to be painted 32a is far away from the inkjet print head 31 and ejects from the inkjet print head 31. The paint to be applied changes into a mist from the middle and dissipates into the air, and the paint does not reach the surface to be painted 32a 100%. In order to paint the entire area of the surface to be coated 32a having a curved surface with mistress, as shown in FIG. 21, the surface to be coated 32a is divided into a plurality of regions such as A, B, C, and D to be coated. By changing the holding position of the object 32, it is necessary to sequentially bring each region of A to D closer to the inkjet print head 31 and then paint. That is, one region is divided so that the distance from the inkjet print head 31 to which the paint ejected from the inkjet print head 31 can be fixed in a dot shape to the surface to be coated 32a can be secured.

FIG. 22 is an explanatory view showing a state in which the area A is painted. As shown in the figure, painting is first performed with the regions A positioned so as to face each other in the inkjet print head 31, and after this, the other regions B to D are sequentially brought close to the inkjet print head 31. Areas B to D will be painted after being positioned so as to face each other. The method of dividing and painting into a plurality of regions in this way can be similarly applied to a large-sized object to be coated such that the surface to be coated 32a exceeds the movable range of the inkjet print head 31. is there.

Here, the painting near the boundary line between the two regions will be described with reference to FIG. 23. Ideally, as shown in FIG. 23A, the coating film in the vicinity of the boundary line T between the area A and the area B adjacent to the area A first discharges a predetermined amount of paint per unit area from the area A to the boundary line T. Then, a coating film 35 having a uniform thickness is formed from the region A to the boundary line T. The thickness of the coating film 35 is set to fall vertically to zero at the boundary line T. Next, as shown in FIG. 23B, a predetermined amount of paint per unit area is discharged from the boundary line T to the region B from the inkjet print head 31 to form a coating film 36 having a uniform thickness. The coating film 36 is made to rise vertically from zero at the boundary line T. When the coating film 35 shown in FIG. 23 (a) and the coating film 36 shown in FIG. 23 (b) described above are combined, as shown in FIG. 23 (c), they are uniform in the region from region A to region B. A coating film 37 having a large thickness will be formed.

However, in reality, even if a predetermined amount of paint per unit area is ejected from the region A to the boundary line T in order to obtain the coating film as shown in FIG. 23 (c) by the inkjet print head 31, FIG. 23 (d) As shown in the above, the thickness of the obtained coating film 38 has a shape collapsed on both sides of the boundary line T. The cause is that the surface tension and viscosity of the paint are limited. In addition, the way the paint collapses becomes irregular due to the difference in the physical properties of the surface to be coated 32a, and when the vicinity of the boundary line T is viewed from the upper surface, as shown in FIG. 24, the edge 39 of the coating film 38 has irregular waves. It will be in a struck state. For example, when a predetermined amount of paint per unit area is ejected from the inkjet print head 31 in order to obtain a coating film thickness of 50 μm, the wave at the end 39 of the coating film 38 is about 0.5 mm near the boundary line T and far from the boundary line T. Is about 1.0 mm.

Japanese Unexamined Patent Publication No. 2012-71240 Japanese Unexamined Patent Publication No. 2012-86131

As described above, no matter how the amount of paint discharged from the vicinity of the boundary line T of the region A to the adjacent region B is controlled, it is difficult to obtain a coating film having a uniform thickness in the vicinity of the boundary line T. It was. Incidentally, when the same predetermined amount of paint per unit area is discharged from the boundary line T to the region B, the coating film 31 obtained by combining with the first coating film is on the left side of the boundary line T as shown in FIG. In this case, dents are generated, and protrusions are generated on the right side, making it impossible to make the coating film uniform. Moreover, as described above, when this portion is viewed from above, an irregular wavy dent line and an irregular wavy protrusion line are generated in parallel with the boundary line T.

Further, depending on the state of curvature of the surface to be coated, not only two regions may be adjacent to each other, but also three regions or more regions may be divided so as to be adjacent to each other. It was even more difficult to form a uniform coating film because the plurality of regions became irregular in the vicinity of the adjacent intersection.

Therefore, the present invention has been made in view of such a problem, and even when each region in which the coated surface is divided into a plurality of areas is coated with an inkjet print head, the entire surface to be coated is coated with a coating film having a uniform thickness. It is an object of the present invention to provide a painting method capable of painting.

The invention according to claim 1 to solve the above problems, is discharged from the ink jet print head while dividing the surface to be coated in a plurality of regions, in which each of the divided regions is paired toward the ink jet printhead It is a painting method that paints with a paint
A predetermined area and border and the flat line inner boundary of the other region adjacent thereto and an outer boundary line assumes each coating between the outer boundary and the inner boundary line is painted object On the opposite outer or inner border, the amount of paint ejected is gradually reduced from the inner or outer border existing within the predetermined area toward the opposite outer or inner border. The amount of paint discharged is controlled to be zero, and the distance from the boundary line to the inner boundary line and the distance from the boundary line to the outer boundary line are set based on the film thickness of the coating film. Provide a characteristic painting method.

The invention according to claim 2 in order to solve the above problems, is discharged from the ink jet print head while dividing the surface to be coated in a plurality of regions, in which each of the divided regions is paired toward the ink jet printhead that a coating method of coating the coating material, wherein the boundary line T ₁ or al plants inside of the certain region of the boundary T ₁ of the between and an area obtained by dividing the surface to be coated region adjacent thereto the inner side boundary line T _1i constant of distance L _1, the outer side boundary of the boundary T ₁ of the said boundary line T ₁ from the predetermined distance L ₁ in an outer region adjacent to the certain region The distance from the inner boundary line _{T1i of} the point Q existing between the line _T1o and the line _T1o is m, and the coating material of the predetermined thickness is formed from the inkjet printhead per unit area. When the paint discharge amount is P, the paint discharge amount P _Q at the point Q is calculated according to the following formula and painting is performed, so that the adjacent region via the boundary line T ₁ is painted with a uniform coating film . A coating method characterized in that the distance from the boundary line T ₁ to the inner boundary line T _1i and the distance from the boundary line T ₁ to the outer boundary line T _1o are set based on the film thickness of the coating film. I will provide a.
P _Q = P × (2L ₁ −m) / 2L ₁

In order to solve the above problem, the invention according to claim 3 divides the surface to be coated into a plurality of regions, and the inkjet print is performed in each of the divided regions at a distance at which the paint discharged from the inkjet print head does not disperse. It is a painting method in which the paint is applied by the paint discharged from the inkjet print head in a state of being close to the head.
In the case where three realm in the plurality of regions are adjacent to each other have one of the intersection point (O),
The first to the first position to the inner boundary line T ₁ of the between the second region adjacent thereto with a predetermined area Der Ru first region of said three regions (A) (B) A virtual first inner boundary line T _{1i is} located in the region (A) at a position separated from the first boundary line T ₁ by a distance L ₁ having a length of at least 50 times the thickness of the coating film. together assume, spaced the first predetermined distance L ₁ and equidistant the first from the boundary line T ₁ in the second region (B) located outside the border T ₁ position Assuming a virtual first outer boundary line T _1o ,
Wherein the first region located on the inner side of the second boundary line T ₂ of the between the other of the third region adjacent thereto and the first region of the surface to be coated (A) (C) (A ), A virtual second inner boundary line T _2i is assumed at a position separated from the second boundary line T ₂ by the distance L _1, and is located outside the second boundary line T _2. A virtual second outer boundary line T _2o is assumed at a position equidistant from the second boundary line T ₂ to the distance L _{1 in} the third region (C).
Four formed by extending the first inner boundary line T _1i , the first outer boundary line T _1o, the second inner boundary line T _2i, and the second outer boundary line T _2o , respectively. Of the four sides of the quadrangle whose vertices are the intersections (a, b, c, d), the second outer boundary line _T2o passes through the middle point e of the side (bc) formed by the second outer boundary line _T2o . region (B) and the third region assuming a parallel temporary boundary T _{3 'to} the boundary line T ₃ between (C), and further wherein the first inner and the second outer boundary T _2o together assume a third inner border T _3'I said parallel through the intersection b with the temporary boundary T _{3 'between} the boundary line T _1i, the second outer boundary T _2o and the first assuming parallel third outer boundary T _3'O with the temporary boundary T _{3 'through} the intersection c between the outer boundary T _1o, the third inner border T _3'I and the temporary the distance between the distance and the third outer boundary T _3'O between the boundary line T _{3 'and} each L _2,
Distance from the first inner boundary line T _1i when an arbitrary point Q on the surface to be coated exists between the first inner boundary line T _1i and the first outer boundary line T _1o. Is m, and the distance from the second inner boundary line T _2i when the arbitrary point Q exists between the second inner boundary line T _2i and the second outer boundary line T _2o. and n, from the third inner border T _3'I in a case where the point Q is present between the said and the third inner border T _3'I third outer boundary T _3'O Let s be the distance of
When the amount of paint discharged from the inkjet printhead per unit area required to form a coating film of a predetermined thickness is P, the first to third regions (A, B, C) are painted. Is characterized in that the surface to be coated is coated with a coating film having a uniform predetermined thickness as a whole by calculating the coating discharge amount P _Q at the arbitrary point Q according to the following formula and performing coating. Provided is a coating method for forming a coating film having a uniform thickness on a plurality of adjacent regions.

(1) Painting of First Area (A) The arbitrary point Q is inside the first area (A) inside the first inner boundary line _T1i and the second inner boundary line _T2i . If located in
P _Q = P
When the arbitrary point Q is located between the first inner boundary line T _1i and the first outer boundary line T _1o.
P _Q = P × (2L ₁ −m) / 2L ₁
When the arbitrary point Q is located between the second inner boundary line T _2i and the second outer boundary line T _2o.
P _Q = P × (2L ₁ −n) / 2L ₁
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −m) / 2L ₁ } × {(2L ₁ −n) / 2L ₁ }

(2) Painting of the second region (B) The arbitrary point Q is the second region (B) inside the first outer boundary line T _1o and the third outer boundary line T _3'o. If located inside
P _Q = P
When the arbitrary point Q is located between the first outer boundary line T _1o and the first inner boundary line T _1i.
P _Q = P × m / 2L ₁
When the arbitrary point Q is located between the third outer boundary line T _3'o and the third inner boundary line T _3'i.
P _Q = P × s / 2L ₂
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × m / 2L ₁

(3) Painting of the third region (C) The arbitrary point Q is the third region (C) inside the second outer boundary line T _2o and the third inner boundary line T _3'i. ) When located in
P _Q = P
When the arbitrary point Q is located between the second outer boundary line T _2o and the second inner boundary line T _2i.
P _Q = P × n / 2L ₁
When the arbitrary point _Q is located between the third inner boundary line T _3'i and the third outer boundary line T _3'o.
P _Q = P × (2L _2- s) / 2L ₂
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −m) / 2L ₁ } × (n / 2L ₁ )

In order to solve the above problem, the invention according to claim 4 divides the surface to be coated into a plurality of regions, and the inkjet print is performed in each of the divided regions at a distance at which the paint discharged from the inkjet print head does not disperse. It is a painting method in which the paint is applied by the paint discharged from the inkjet print head in a state of being close to the head.
In the case where four realm in the plurality of regions are adjacent to each other have one of the intersection point (O),
The first to the first position to the inner boundary line T ₁ of the between the first region is a predetermined region (A) and a second region adjacent to (B) of said four areas A virtual first inner boundary line T _1i is provided at a position separated from the first boundary line T ₁ by a distance L ₁ having a length of at least 50 times the thickness of the coating film in the region (A). together assume a position spaced a predetermined distance L ₁ and the same distance from the first boundary line T ₁ in said second region located outside the first boundary line T ₁ (B) Assuming a virtual first outer boundary line T _1o ,
Wherein the first region located on the inner side of the second boundary line T ₂ of the between the other of the third region adjacent thereto and the first region of the surface to be coated (A) (C) (A ), A virtual second inner boundary line T _2i is assumed at a position separated from the second boundary line T ₂ by the distance L _1, and is located outside the second boundary line T _2. A virtual second outer boundary line T _2o is assumed at a position equidistant from the second boundary line T ₂ to the distance L _{1 in} the third region (C).
Four formed by extending the first inner boundary line T _1i , the first outer boundary line T _1o, the second inner boundary line T _2i, and the second outer boundary line T _2o , respectively. Of the four sides of the quadrangle whose vertices are the intersections (a, b, c, d), the third side passes through the midpoint e of the side (bc) formed by the second outer boundary line _T2o . border T ₃ assumes parallel provisional boundary line T _{3 'in} further wherein the second outer boundary T _2o first inner boundary between the region (C) and the fourth region (D) together through the intersection b with the line T _1i assumes the third inner border T _3'I parallel to the temporary boundary T _{3 ',} the first outer and second outer boundary T _2o through the intersection c between the boundary line T _1o assuming the temporary boundary T _{3 'parallel} to the third outer boundary T _3'O, the said third inner border T _3'I temporary boundary and the distance between lines T _{3 'and} the distance between the third outer boundary T _3'O respectively L _2,
Of the four sides of the square (a, b, c, d), the second region (B) passes through the midpoint f of the side (cd) formed by the first outer boundary line _T1o . and the fourth region assuming a temporary boundary T _{4 'parallel} to the boundary line T ₄ between the (D), further wherein the first of said outer boundary line T _1o second outer boundary T _2o intersection the through c as well as assume a temporary boundary T _{4 'parallel} to the fourth inner border T _4'I, said first outer boundary T _1o and the second inner boundary T between through the intersection d between _2i assuming fourth outer boundary T _4'O parallel to the temporary boundary T _{4 ',} the said fourth inner border T _4'I temporary boundary T ₄ the distance between the distance and the fourth outer boundary T _4'O between _'and L _3, respectively,
Distance from the first inner boundary line T _1i when an arbitrary point Q on the surface to be coated exists between the first inner boundary line T _1i and the first outer boundary line T _1o. Is m, and the distance from the second inner boundary line T _2i when the arbitrary point Q exists between the second inner boundary line T _2i and the second outer boundary line T _2o. and n, from the third inner border T _3'I in a case where the point Q is present between the said and the third inner border T _3'I third outer boundary T _3'O the distance between the s, the fourth inner border T ₄ when present between the said point Q and the fourth inner border T _4'I fourth outer boundary T _{4'O Let} t be the distance from'i
When the amount of paint discharged from the inkjet printhead per unit area required to form a coating film of a predetermined thickness is P, the first to fourth regions (A, B, C, D) ) Is painted by calculating the paint discharge amount P _Q at any point Q according to the following formula and painting the surface to be painted with a coating film having a uniform thickness as a whole. Provided is a coating method for forming a coating film of a plurality of adjacent regions having a uniform thickness.
(1) Painting of First Area (A) The arbitrary point Q is inside the first area (A) inside the first inner boundary line _T1i and the second inner boundary line _T2i . If located in
P _Q = P
When the arbitrary point Q is located between the first inner boundary line T _1i and the first outer boundary line T _1o.
P _Q = P × (2L ₁ −m) / 2L ₁
When the arbitrary point Q is located between the second inner boundary line T _2i and the second outer boundary line T _2o.
P _Q = P × (2L ₁ −n) / 2L ₁
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −m) / 2L ₁ } × {(2L ₁ −n) / 2L ₁ }

(2) Painting of the second region (B) The arbitrary point Q is the second region (B) inside the first outer boundary line T _1o and the fourth outer boundary line T _4'o. If located inside
P _Q = P
When the arbitrary point Q is located between the first outer boundary line T _1o and the first inner boundary line T _1i.
P _Q = P × m / 2L ₁
When the arbitrary point Q is located between the fourth outer boundary line T _4'o and the fourth inner boundary line T _4'i.
P _Q = P × t / 2L ₃
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −n) / 2L ₁ } × (m / 2L ₁ )

(3) Painting of the third region (C) The arbitrary point Q is the third region (C) inside the second outer boundary line T _2o and the third inner boundary line T _3'i. ) When located in
P _Q = P
When the arbitrary point Q is located between the second outer boundary line T _2o and the second inner boundary line T _2i.
P _Q = P × n / 2L ₁
When the arbitrary point Q is located between the third inner boundary line T _3'i and the third outer boundary line T _3'o.
P _Q = P × (2L _2- s) / 2L ₂
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −m) / 2L ₁ } × (n / 2L ₁ )

(4) Painting of the fourth region (D) The arbitrary point Q is the fourth region inside the third outer boundary line T _3'o and the fourth inner boundary line T _4'i ( When located in D)
P _Q = P
When the arbitrary point Q is located between the third outer boundary line T _3'o and the third inner boundary line T _3'i.
P _Q = P × s / 2L ₂
When the arbitrary point Q is located between the fourth inner boundary line T _4'i and the fourth outer boundary line T _4'o.
P _Q = P × (2L ₃ −t) / 2L ₃
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × (m / 2L ₁ ) × (n / 2L ₁ )

According to the coating method for forming a coating film on a plurality of adjacent regions having a uniform thickness according to the present invention, even when the plurality of regions are divided so as to be adjacent to each other, each region is divided by an inkjet print head. Since each can be coated with a coating film having a uniform thickness, there is an effect that a coating film having a uniform thickness can be formed on the entire coated surface. This has the effect that the paint can be painted mistress without wasting 100%.

In addition, there is an effect that painting can be performed without causing irregular wavy dent lines and irregular wavy protrusion lines on the boundary line of the adjacent region.

It is a figure which shows the state which divided the painted surface into each region A to D by the boundary line which does not intersect with each other. It is explanatory drawing which shows the vicinity of the boundary line of area A and area B in FIG. FIG. 3 is a flowchart of an embodiment of the coating method of the first embodiment. It is a figure which shows the state which divided the painted surface into adjacent regions A to C. It is explanatory drawing which shows the vicinity of the boundary line of the area A and the area B, C in FIG. Is an explanatory view showing the paint discharge amount P _Q at an arbitrary point Q position relative to the paint discharge amount P per unit area required to form the predetermined thickness of the coating in the region A. It is explanatory drawing which shows the vicinity of the boundary line of the area B and the area A, C in FIG. Is an explanatory view showing the paint discharge amount P _Q at an arbitrary point Q position relative to the paint discharge amount P per unit area required to form the predetermined thickness of the coating in the region B. It is explanatory drawing which shows the vicinity of the boundary line of the area C and the area A, B in FIG. Is an explanatory view showing the paint discharge amount P _Q at an arbitrary point Q position relative to the paint discharge amount P per unit area required to form the predetermined thickness of the coating in the region C. It is explanatory drawing which shows the case where the boundary line T ₁ and the boundary line T ₃ are in the same straight line. It is a figure which shows the state which divided the painted surface into adjacent regions A to D. It is explanatory drawing which shows the vicinity of each boundary line of the area A to D in FIG. Is an explanatory view showing the paint discharge amount P _Q at an arbitrary point Q position relative to the paint discharge amount P per unit area required to form the predetermined thickness of the coating in the region B shown in FIG. 12. Is an explanatory view showing the paint discharge amount P _Q at an arbitrary point Q position relative to the paint discharge amount P per unit area required to form the predetermined thickness of the coating in the region D shown in FIG. 12. It is a block diagram which shows the structure of one Embodiment of the inkjet printing apparatus for carrying out this invention. It is a flowchart which shows one Embodiment of the coating method of Example 2. (A) is an explanatory diagram showing the state of the coating film thickness in the vicinity of the region A and the boundary line T ₁ , and (b) is an explanatory diagram showing the state of the coating film thickness in the vicinity of the region B and the boundary line T ₁ , (c). ) is an explanatory view showing the state of (a) and (b) the two coatings synthesized near the boundary line T ₁ obtained by the coating shown. It is a perspective view which shows the structural example of the conventional inkjet printing apparatus. It is a front view which shows the arrangement of the inkjet print head with respect to the object to be painted which has a curved surface. It is a front sectional view which shows the state which divided the surface to be painted into a plurality of regions. It is explanatory drawing which shows the state of painting area A. (A) is an explanatory diagram showing an ideally painted state for the area A, (b) is an explanatory diagram showing an ideally painted state for the area B, and (c) is shown in (a). An explanatory view showing a state in which the coating film shown and the coating film shown in (b) are combined, and (d) is an explanatory view showing a state in which the area A is not ideally coated. It is explanatory drawing which shows the generation of the wavy protrusion line caused by the coating shown in FIG. 23 (d). It is explanatory drawing which shows the occurrence of the fluctuation of the film thickness in the vicinity of the boundary line in the coating shown in FIG. 23D. It is explanatory drawing which shows that the boundary line T ₁ is a curve.

Hereinafter, a coating method for forming a coating film on a plurality of adjacent regions according to the present invention with a uniform thickness will be described based on each preferred embodiment.

[When each area is adjacent by one boundary line]
First, FIG. 1 is a diagram showing a state in which the painted surfaces are divided into regions A to D by boundary lines that do not intersect each other, and FIG. 2 is an explanatory diagram showing the vicinity of the boundary lines of regions A and B in FIG. .. The surface to be coated 2a is, for example, the surface of an object to be coated 2 having a curved surface such as the hood of an automobile shown in FIG. 16 described later. As shown in FIG. 1, the surface to be coated 2a is divided into four regions: region A, region B adjacent to region A, region C adjacent to region B, and region D adjacent to region C. .. Then, as shown in FIG. 2, T ₁ is the boundary line between the area A and the area B, and T _1i is the inner boundary line which is inside the area A and is assumed to be separated from the boundary line T ₁ by a predetermined distance L _1. (Hereinafter, also referred to as "inner parallel line"), T _1o is outside the region A and is assumed to be separated from the boundary line T ₁ by the above-mentioned predetermined distance (hereinafter, also referred to as "outer parallel line"). It says.).

First, a case is described in which painting around ₁ region A and the boundary line T by the ink jet print head 1. FIG. 18 (a) is an explanatory view showing a state of a thickness of the coating film near the _first region A and the boundary line T. Here, assuming that the amount of paint discharged per unit area required to obtain a coating film having a predetermined uniform thickness is P, the amount of paint discharged within the inner parallel line _T1i in the region A is 100% of P. paint discharge amount on the boundary line _{T 1} is 50% of P, the paint discharge amount in the outer parallel line _{T 1o} is such that 0% of P, that is, from the inside toward parallel lines _{T 1i} outside parallel line _{T 1o} The amount of paint discharged from the inkjet print head 1 is controlled so that the coating film 7 is formed so that the amount of paint discharged gradually decreases. That is, the virtual and the inner boundary line T _1i contemplated at a distance L ₁ from the boundary line T _1, imaginary outer boundary is assumed at a distance L ₁ and the same distance from the boundary line T ₁ T The distance from the inner boundary line _T1i of the point Q existing between _1o and _T1i is m, and the amount of paint ejected from the inkjet printhead per unit area required to form a coating film having a predetermined thickness is P. If, the paint discharge amount P _Q at the point Q is calculated according to the following formula and painting is performed.

P _Q = P × (2L ₁ −m) / 2L ₁

However, in order to prevent the paint from moving (outflowing) to the outer parallel line _T1o side (right side in FIG. 18A) in the region from the inner parallel line _T1i to the outer parallel line _{T1o in} FIG. 18A. , respectively the distance L ₁ from the distance L ₁ and the boundary line T ₁ of the to the inner parallel lines T _1i to the outer parallel line T _1o and thickness length of more than 50 times the predetermined coating film from the boundary line T.

For example, when the point Q is on the inner boundary line T _1i , since m = 0, the paint discharge amount P _Q is as follows.

_{P Q = P × (2L 1} -0) / 2L 1

= P × 2L ₁ / 2L ₁

= P × 1

= P

That is, it is 100% of P.

Further, for example, when the point Q is on the boundary line T ₁ , since m = L ₁ , the paint discharge amount P _Q is as follows.

P _Q = P × (2L _1- L ₁ ) / 2L ₁

= P × L ₁ / 2L ₁

= P × 1/2

= 0.5P

That is, it is 50% of P.

Similarly, for example, when the point Q is on the outer boundary line T _1o , since m = 2L ₁ , the paint discharge amount P _Q is as follows.

_{P Q = P × (2L 1} -2L 1) / 2L 1

= P × 0 / 2L ₁

= P × 0 / 2L ₁

= 0

That is, it is 0% of P.

FIG. 18 (b) is an explanatory view showing a state of the coating film thickness in the vicinity of the region B and a boundary line T _1. Similar to the case of the above-mentioned area A, in the area B, 100% of the paint discharge amount P within the inner parallel line T _1i (corresponding to the outer parallel line T _1o in the area A), and in the boundary line T ₁ , the paint discharge amount. At 50% of P and the outer parallel line T _1o (corresponding to the inner parallel line T _1i in the region A), the paint discharge amount is set to 0% of the paint discharge amount P, that is, from the inner parallel line T _1i to the outer parallel. The amount of paint discharged from the inkjet print head 1 is controlled so that the coating film 8 is formed so that the amount of paint discharged gradually decreases toward the line _T1o . Although Needless to say, paint discharge amount in this case, the ink jet print head 1 so as to gradually paint discharge amount from the outer parallel line T _1o inwardly parallel lines T _1i in the region B is increased It will be the same even if you control. However, as in the case of region A, the distance L ₁ from the distance L ₁ and the boundary line T ₁ of the from the border line T ₁ to the inner parallel lines T _1i to the outer parallel line T _1o above as well as each of the predetermined Set so that the film thickness is 50 times or more the uniform film thickness.

FIG. 18 (c) is an explanatory view showing a state in FIG. (A) and (b) the two coatings synthesized near the boundary line T ₁ obtained by the coating shown. As is clear from FIG. 18C, the synthesized coating film 9 has a uniform thickness both on the boundary line T _{1 and} on the inner parallel line T _1i and the outer parallel line T _{1 o} in the region A. The boundary line T ₁ does not have to be a straight line, and may be a curved line as shown in FIG. Even in such a case, the inner boundary line T _1i and the outer boundary line T _1o exist with the boundary line T ₁ in between, and the paint discharge amount P is changed from the inner boundary line T _1i to the outer boundary line T as described above. By gradually reducing the amount toward _1o , a coating film having a uniform film thickness similar to that shown in FIG. _18C can be obtained. By performing such a coating method for the regions A and B, the regions B and C, and the regions C and D, respectively, the entire coated surface 2a can be coated with a coating film having a uniform thickness. The same applies to Examples 2 and 3 described later.

[When three areas are adjacent]
Next, a coating method in which three regions have one intersection (O) and a plurality of regions adjacent to each other have a uniform thickness to form a coating film will be described. FIG. 4 is a diagram showing a state in which the surface to be coated is divided into three adjacent regions A to C. The divided area A is adjacent to the areas B and C, the area B is adjacent to the areas A and C, the area C is adjacent to the areas A and B, and the areas A to C are each one intersection (O). It is in a state of being adjacent to each other. Then, T ₁ is the boundary line between the area A and the area B, T ₂ is the boundary line between the area A and the area C, and T ₃ is the boundary line between the area B and the area C. Each of the regions A to C divided in this way is painted by an inkjet print head.

(1) [Painting of area A]
First, a case where the region A is painted by the inkjet print head 1 will be described. At least the coating in the case, as shown in FIG. 5, from the boundary line T ₁ in the region A which is located inside the boundary line T ₁ of the between the region B adjacent thereto and region A for performing the painting area A It is assumed that a virtual first inner boundary line (hereinafter, also referred to as “inner parallel line”) T _1i is located at a position separated by a distance L ₁ having a length of 50 times or more the thickness of the film. The first outer boundary hypothetical from the boundary line T ₁ in the region B which is located outside the boundary line T ₁ at a distance L ₁ and equidistant spaced position (hereinafter, referred to as "outer parallel line" .) Assume T _1o .

Next, the region A and the virtual second inner boundary from the boundary line T ₂ in the area A located inside the boundary T ₂ at a position at a distance L ₁ between the region C adjacent thereto Assume line T _2i . Then, assuming a hypothetical second outer boundary T _2o from the boundary line T ₂ in the region C positioned outside the boundary T ₂ at a distance L ₁ and equidistant spaced positions.

Next, four intersections formed by extending the first inner boundary line T _1i and the first outer boundary line T _1o and the second inner boundary line T _2i and the second outer boundary line T _2o , respectively. Assume a quadrangle whose vertices are (a, b, c, d). Then, the distance from the first inner boundary line T _1i when an arbitrary point Q on the surface to be coated 2a exists between the first inner boundary line T _1i and the first outer boundary line T _1o is determined. Let m be, and let n be the distance from the second inner boundary line T _2i when an arbitrary point Q exists between the second inner boundary line T _2i and the second outer boundary line T _2o . Then, calculated according to the case where the paint discharge rate and is P, the following equation paint discharge amount P _Q at an arbitrary point Q from the ink jet print head per unit area required to form the predetermined thickness of the coating And paint.

(1-1) When an arbitrary point Q is located in the region A inside the first inner boundary line T _1i and the second inner boundary line T _2i.

P _Q = P

That is, coating is performed with 100% of the paint ejection amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness.

(1-2) When an arbitrary point Q is located between the first inner boundary line T _1i and the first outer boundary line T _1o.
P _Q = P × (2L ₁ −m) / 2L ₁

That is, in the first inner border T _1i performs coating with 100% of the paint discharge amount P, gradually the discharge amount of paint from the first inner border T _1i toward the first outer boundary T _1o The amount of paint is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the first outer boundary line _T1o for painting.

(1-3) When an arbitrary point Q is located between the second inner boundary line T _2i and the second outer boundary line T _2o.

P _Q = P × (2L ₁ −n) / 2L ₁

That is, on the second inner border T _2i performs coating with 100% of the paint discharge amount P, gradually the discharge amount of paint from the second inner border T _2i toward the second outer boundary T _2o The amount of paint is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the second outer boundary line _T2o for painting.

(1-4) However, when any point Q is located inside the quadrangle (a, b, c, d)

P _Q = P × {(2L ₁ −m) / 2L ₁ } × {(2L ₁ −n) / 2L ₁ }

That is, since coating is performed in duplicate within the range of the quadrangle (a, b, c, d), it is necessary to adjust the discharge amount by that amount in order to form a coating film having a uniform thickness. In addition to the above, the area of the quadrangle (a, b, c, d) is finally covered because the areas B and C are similarly painted in the same manner as described later. Such an adjustment of the discharge amount is performed so that the entire coated surface 2a is coated with a uniform thickness.

Here, when painting the region A, an arbitrary point Q position with respect to the case where the paint discharge amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness is 100%. The ratio of the paint discharge amount P _{Q in} the above is shown in FIG. For example, when an arbitrary point Q is located between the first inner boundary line T _1i and the first outer boundary line T _1o and is on the boundary line T ₁ , it is as follows. ..

P _Q = P × (2L _1- L ₁ ) / 2L ₁
= 100% x 1/2
= 50%

Further, when the arbitrary point Q is located inside the quadrangle (a, b, c, d) and is located at the intersection O, it is as follows.

P _Q = P × {(2L ₁ −m) / 2L ₁ } × {(2L ₁ −n) / 2L ₁ }
= 100% x (1/2) x (1/2)
= 25%

Hereinafter, it is possible to calculate the percentage of the paint discharge amount P _Q in the Q arbitrary point with respect to the paint discharge amount P when painting the area A in the same manner.

(2) [Painting of area B]
Next, a case where the region B is painted by the inkjet print head 1 will be described. When the region B is painted, as shown in FIG. 7, the second outer boundary line T _2o of the four sides of the quadrangle having the four intersections (a, b, c, d) as vertices is _used . assume a parallel temporary boundary T _{3 'midpoints} e sides (bc) which is formed in the boundary line T ₃ between the street and regions B and C. Further, while assuming a second outer boundary T _2o and first third inner border T _3'I through intersection b in parallel with the temporary boundary T _{3 'between} the inner boundary line T _1i, assuming a second outer boundary T _2o and first third outer boundary T _3'O through the intersection c between the outer boundary T _1o parallel to the temporary boundary T _{3 '.} Then, the distance between the third inner border T _3'I and _'distance and a third outer boundary T _3'O the temporary boundary T ₃ between _the' provisional boundary line T ₃ each L _Let it be ₂ . Then, when the point Q exists between the third inner boundary line T _3'i and the third outer boundary line T _3'o , the distance from the third inner boundary line T _{3'i is defined} as s. To do. Then, calculated according to the case where the paint discharge rate and is P, the following equation paint discharge amount P _Q at an arbitrary point Q from the ink jet print head per unit area required to form the predetermined thickness of the coating And paint.

(2-1) When an arbitrary point Q is located in a region B inside the first outer boundary line T _1o and the third outer boundary line T _3'o.

P _Q = P

That is, coating is performed with 100% of the paint ejection amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness.

(2-2) When an arbitrary point Q is located between the first outer boundary line T _1o and the first inner boundary line T _1i.

P _Q = P × m / 2L ₁

That is, in the first outer boundary T _1o performed painted with 100% of the paint discharge amount P, gradually the discharge amount of paint from the first outer boundary T _1o towards the first inner borderline T _1i The amount of paint is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the first inner boundary line _T1i .

(2-3) When an arbitrary point Q is located between the third outer boundary line T _3'o and the third inner boundary line T _3'i.

P _Q = P × s / 2L ₂

That is, in the third outer boundary _{T 3'O} performed painted with 100% of the paint discharge amount P, the third outer boundary _{T 3'O} toward the third inner border _{T 3'I} The amount of paint discharged is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the third inner boundary line _T3'i for painting.

(2-4) When any point Q is located inside the quadrangle (a, b, c, d)

P _Q = P × m / 2L ₁

That is, in the range of the quadrangle (a, b, c, d), as described above, in order to finally coat the entire surface to be coated 2a with a uniform thickness, such a discharge amount is applied. Make adjustments.

Here, when painting the region B, an arbitrary point Q position with respect to the case where the paint discharge amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness is 100%. The ratio of the paint discharge amount P _{Q in} the above is shown in FIG. For example, when an arbitrary point Q is located between the first outer boundary line T _1o and the first inner boundary line T _1i and is on the boundary line T ₁ , it is as follows. ..

P _Q = P × m / 2L ₁
= 100% x (1/2)
= 50%

Further, when an arbitrary point Q is located between the third outer boundary line T _3'o and the third inner boundary line T _3'i, and is on the temporary boundary line T _3'. Is as follows.

P _Q = P × s / 2L ₂
= 100% x (1/2)
= 50%

Further, when the arbitrary point Q is located inside the quadrangle (a, b, c, d) and is located at the intersection O, it is as follows.

P _Q = P × m / 2L ₁
= 100% x (1/2)
= 50%

Hereinafter, it is possible to calculate the percentage of the paint discharge amount P _Q in the Q arbitrary point with respect to the paint discharge amount P when painting the region B in the same manner.

(3) [Painting of area C]
Next, a case where the region C is painted by the inkjet print head 1 will be described with reference to FIG.

(3-1) When an arbitrary point Q is located in the region C inside the second outer boundary line T _2o and the third inner boundary line T _3'i.

P _Q = P

That is, coating is performed with 100% of the paint ejection amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness.

(3-2) When an arbitrary point Q is located between the second outer boundary line T _2o and the second inner boundary line T _2i.

P _Q = P × n / 2L ₁

That is, on the second outer boundary T _2o perform painting at 100% of the paint discharge amount P, gradually the discharge amount of paint from the second outer boundary T _2o toward the second inner border T _2i The paint is gradually reduced, and the paint is coated by controlling the paint discharge amount so as to be 0% of the paint discharge amount P on the second inner boundary line T _2i .

(3-3) When an arbitrary point Q is located between the third inner boundary line T _3'i and the third outer boundary line T _3'o.

P _Q = P × (2L _2- s) / 2L ₂

That is, on the third inner boundary line T _3'i , painting is performed with 100% of the paint discharge amount P, and from the third inner boundary line T _3'i toward the third outer boundary line T _3'o. The amount of paint discharged is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the third outer boundary line _T3'o .

When an arbitrary point Q is located inside the quadrangle (a, b, c, d)

P _Q = P × {(2L ₁ −m) / 2L ₁ } × (n / 2L ₁ )

That is, in the range of the quadrangle (a, b, c, d), as described above, in order to finally coat the entire surface to be coated 2a with a uniform thickness, such a discharge amount is applied. Make adjustments.

Here, when painting the region C, an arbitrary point Q position with respect to the case where the paint discharge amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness is 100%. The ratio of the paint discharge amount P _{Q in} the above is shown in FIG. For example, when an arbitrary point Q is located between the second outer boundary line T _2o and the second inner boundary line T _2i and is on the boundary line T ₂ , it is as follows.

P _Q = P × n / 2L ₁
= 100% x (1/2)
= 50%

Further, when the arbitrary point Q is located inside the quadrangle (a, b, c, d) and is located at the intersection O, it is as follows.

P _Q = P × {(2L ₁ −m) / 2L ₁ } × (n / 2L ₁ )
= 100% x (1/2) x (1/2)
= 25%

Hereinafter, it is possible to calculate the percentage of the paint discharge amount P _Q in the Q arbitrary point with respect to the paint discharge amount P when painting the area C in the same manner. Here, the paint discharge amount P _{Q at} the intersection O when the areas A to C are painted as described above is 25% of the paint discharge amount P in the painting of the area A, and the paint discharge amount in the painting of the area B. 50% of P, 25% of the paint discharge amount P in the coating of the region C, 100% in total, the paint from the inkjet printhead per unit area required to form a coating film of a predetermined thickness. The discharge amount P will be applied. In FIG. 4, the boundary lines T ₁ , T ₂ , and T ₃ are in contact with each other at an angle other than 90 °, but as shown in FIG. 11, for example, the boundary line T ₁ and the boundary line T ₃ are in the same straight line. The same applies even when the boundary line T ₂ touches the boundary line T ₂ so as to be orthogonal to the boundary line T ₂ .

[When four areas are adjacent]
Next, a coating method will be described in which the four regions have one intersection (O) and a plurality of regions adjacent to each other are formed with a uniform thickness. FIG. 12 is a diagram showing a state in which the surface to be coated is divided into four adjacent regions A to D. The divided area A is adjacent to the areas B and C, the area B is adjacent to the areas A and D, the area C is adjacent to the areas A and C, the area D is adjacent to the areas B and C, and the area A is adjacent. ~ D each have one intersection (O) and are adjacent to each other. Then, T ₁ is the boundary line between the area A and the area B, T ₂ is the boundary line between the area A and the area C, T ₃ is the boundary line between the area C and the area D, and T ₄ is the boundary line between the area B and the area D. It is the boundary line of. Each of the regions A to D divided in this way is painted by an inkjet print head.

_First , in the area A located inside the boundary line T1 between the area A of the four areas A to D and the area B adjacent thereto, as in the case where the three areas described above are adjacent to each other. assume at least coating film having a thickness of virtual first inner border T _1i in a position at a distance L ₁ of the length of 50 times or more from the boundary line T ₁ in. Further, a virtual first outer boundary line T _1o is assumed at a position equidistant from the boundary line T ₁ and a distance L ₁ in the region B located outside the first boundary line T ₁ .

Next, the region A and the virtual second inner boundary from the boundary line T ₂ in the area A located inside the boundary T ₂ at a position at a distance L ₁ between the region C adjacent thereto Assume line T _2i . Then, a virtual second outer boundary line T _2o is assumed at a position equidistant from the boundary line T _{2 at a} distance L ₁ in the region C located outside the second boundary line T ₂ .

Next, four intersections formed by extending the first inner boundary line T _1i and the first outer boundary line T _1o and the second inner boundary line T _2i and the second outer boundary line T _2o , respectively. Of the four sides of the quadrangle whose vertices are (a, b, c, d), the area C and the area D pass through the midpoint e of the side (bc) formed by the second outer boundary line _T2o . assume a parallel temporary boundary T _{3 'to} the boundary line T ₃ between. Further, while assuming a second outer boundary T _2o and first third inner border T _3'I through intersection b in parallel with the temporary boundary T _{3 'between} the inner boundary line T _1i, assuming a second outer boundary T _2o and first third outer boundary T _3'O through the intersection c between the outer boundary T _1o parallel to the temporary boundary T _{3 '.} Then, the distance between the third inner border T _3'I and _'distance and a third outer boundary T _3'O the temporary boundary T ₃ between _the' provisional boundary line T ₃ each L _Let it be ₂ .

Next, of the four sides of the quadrangle (a, b, c, d), the area B and the area D pass through the midpoint f of the side (cd) formed by the first outer boundary line _T1o . assume a temporary boundary T _{4 'parallel} to the boundary line T ₄ between. Further with assume a first outer boundary T _1o and the second fourth inner border T _4'I through an intersection c parallel to the temporary boundary T _{4 'of} the outer boundary T _2o, the assume one outer boundary T _1o and the second fourth outer boundary T _4'O through intersections d parallel to the temporary boundary T _{4 'of} the inner boundary line T _2i. Then, the respective L ₃ the distance between the distance and the fourth outer boundary T _4'O between the fourth inner border T _4'I and the temporary boundary T _{4 '.}

Then, the distance from the first inner boundary line T _1i when an arbitrary point Q on the surface to be coated exists between the first inner boundary line T _1i and the first outer boundary line T _1o is m. Let n be the distance from the second inner boundary line T _2i when an arbitrary point Q exists between the second inner boundary line T _2i and the second outer boundary line T _2o, and the point Q is _Let s be the distance from the third inner boundary line T _3'i when it exists between the third inner boundary line T _3'i and the third outer boundary line T _3'o, and the point Q is the third. _Let t be the distance from the fourth inner boundary line T _4'i when it exists between the inner boundary line T _4'i of 4 and the fourth outer boundary line T _4'o . Then, when the amount of paint discharged from the inkjet print head per unit area required to form a coating film having a predetermined thickness is P, the paints in regions A to D are each sprayed at arbitrary points Q. The amount P _Q is calculated according to the following formula and painting is performed.

(1) [Painting of area A and area C]
Since the painting of the area A and the area C is the same as the case where the three areas of the second embodiment are adjacent to each other, the description thereof will be omitted.

(2) [Painting of area B]
Next, a case where the region B is painted by the inkjet print head 1 will be described. When painting the area B, as shown in FIG. 13, of the four sides of the quadrangle having the four intersections (a, b, c, d) as vertices, the first outer boundary line _T1o is used. assuming T _{4 'parallel} temporary boundary midpoint f sides (cd) which is formed on the boundary line T ₄ between the street and regions B and D. Further, while assuming the first outer boundary T _1o and the second fourth inner border T _4'I through the intersection c between the outer boundary T _2o parallel to the temporary boundary T _{4 ',} assume a first outer boundary T _1o and the second fourth outer boundary T _4'O through intersections d parallel to the temporary boundary T _{4 'of} the inner boundary line T _2i. Then, the respective L ₃ the distance between the distance and the fourth outer boundary T _4'O between the fourth inner border T _4'I and the temporary boundary T _{4 '.} Then, the distance from the fourth inner boundary line T _4'i when an arbitrary point Q exists between the fourth inner boundary line T _4'i and the fourth outer boundary line T _4'o is calculated. Let t. Then, calculated according to the case where the paint discharge rate and is P, the following equation paint discharge amount P _Q at an arbitrary point Q from the ink jet print head per unit area required to form the predetermined thickness of the coating And paint.

(2-1) When an arbitrary point Q is located in the area B inside the first outer boundary line T _1o and the fourth outer boundary line T _4'o.
P _Q = P

That is, coating is performed with 100% of the paint ejection amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness.

(2-2) When an arbitrary point Q is located between the first outer boundary line T _1o and the first inner boundary line T _1i.
P _Q = P × m / 2L ₁

That is, in the first outer boundary T _1o performed painted with 100% of the paint discharge amount P, gradually the discharge amount of paint from the first outer boundary T _1o towards the first inner borderline T _1i The amount of paint is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the first inner boundary line _T1i .

(2-3) When an arbitrary point Q is located between the fourth outer boundary line T _4'o and the fourth inner boundary line T _4'i.
P _Q = P × t / 2L ₃

That is, on the fourth outer boundary line T _4'o , painting is performed with 100% of the paint discharge amount P, and from the fourth outer boundary line T _4'o toward the fourth inner boundary line T _4'i. The amount of paint discharged is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the fourth inner boundary line _T4'i for painting.

(2-4) When any point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −n) / 2L ₁ } × (m / 2L ₁ )

That is, in the range of the quadrangle (a, b, c, d), as described above, in order to finally coat the entire surface to be coated 2a with a uniform thickness, such a discharge amount is applied. Make adjustments.

Here, when painting the region B, an arbitrary point Q position with respect to the case where the paint discharge amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness is 100%. The ratio of the paint discharge amount P _{Q in} the above is shown in FIG. For example, when an arbitrary point Q is located between the fourth outer boundary line T _4'o and the fourth inner boundary line T _4'i, and is on the boundary line T _4' , the following It becomes the street.

P _Q = P × t / 2L ₃
= 100% x (1/2)
= 50%

Further, when the arbitrary point Q is located inside the quadrangle (a, b, c, d) and is located at the intersection O, it is as follows.

P _Q = P × {(2L ₁ −n) / 2L ₁ } × (m / 2L ₁ )
= 100% x (1/2) x (1/2)
= 25%

Hereinafter, it is possible to calculate the percentage of the paint discharge amount P _Q in the Q arbitrary point with respect to the paint discharge amount P when painting the region B in the same manner.

(3) [Painting of area D]
Next, a case where the region D is painted by the inkjet print head 1 will be described with reference to FIG.

(3-1) When an arbitrary point Q is located in the inner region D of the third outer boundary line T _3'o and the fourth inner boundary line T _4'i.

P _Q = P

That is, coating is performed with 100% of the paint ejection amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness.

(3-2) When an arbitrary point Q is located between the third outer boundary line T _3'o and the third inner boundary line T _3'i.
P _Q = P × s / 2L ₂

That is, in the third outer boundary _{T 3'O} performed painted with 100% of the paint discharge amount P, the third outer boundary _{T 3'O} toward the third inner border _{T 3'I} The amount of paint discharged is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the third inner boundary line _T3'i for painting.

(3-3) When an arbitrary point Q is located between the fourth inner boundary line T _4'i and the fourth outer boundary line T _4'o.

P _Q = P × (2L ₃ −t) / 2L ₃

That is, on the fourth inner boundary line T _4'i , painting is performed with 100% of the paint discharge amount P, and from the fourth inner boundary line T _4'i toward the fourth outer boundary line T _4'o. The amount of paint discharged is gradually reduced, and the amount of paint discharged is controlled to be 0% of the amount of paint discharged P on the fourth outer boundary line _T4'o .

(3-4) When any point Q is located inside the quadrangle (a, b, c, d)

P _Q = P × (m / 2L ₁ ) × (n / 2L ₁ )

That is, in the range of the quadrangle (a, b, c, d), as described above, in order to finally coat the entire surface to be coated 2a with a uniform thickness, such a discharge amount is applied. Make adjustments.

Here, when painting the region D, an arbitrary point Q position with respect to the case where the paint discharge amount P from the inkjet print head per unit area required to form a coating film having a predetermined thickness is 100%. The ratio of the paint discharge amount P _{Q in} the above is shown in FIG. For example, when an arbitrary point Q is located between the fourth inner boundary line T _4'i and the fourth outer boundary line T _4'o, and is on the boundary line T _4' , the following It becomes the street.

P _Q = P × (2L ₃ −t) / 2L ₃
= 100% x (1/2)
= 50%

Further, when the arbitrary point Q is located inside the quadrangle (a, b, c, d) and is located at the intersection O, it is as follows.

P _Q = P × (m / 2L ₁ ) × (n / 2L ₁ )
= 100% x (1/2) x (1/2)
= 25%

Here, the paint discharge amount P _{Q at} the intersection O when the areas A to D are painted as described above is 25% of the paint discharge amount P in the painting of the area A, and the paint discharge amount in the painting of the area B. It is 25% of P, 25% of the paint discharge amount P in the painting of the region C, and 25% of the paint discharge amount P in the painting of the region D, and a total of 100% forms a coating film having a predetermined thickness. The amount of paint discharged from the inkjet printhead P per unit area required for this is applied. In FIG. 12, the boundary lines T ₁ , T ₂ , T ₃ , and T ₄ are in contact with each other at an angle other than 90 °, but the boundary line T ₁ and the boundary line T ₃ are in the same straight line, and the boundary line is a boundary line. The same applies even when T ₂ and the boundary line T ₄ are in the same straight line and the boundary lines T ₁ and T ₃ are in contact with each other so as to be orthogonal to the boundary lines T ₂ and T ₄ . Further, even when there are five or more boundary lines, the boundary line is used by using the intersection that is the base point of the side where the boundary lines intersect among the four sides of the quadrangle (a, b, c, d). By setting a temporary boundary line parallel to the above, the discharge charge can be calculated in the same manner as described above.

The boundary lines T ₁ , T ₂ , and T ₃ do not have to be straight lines, but may be curved lines. Even in such a case, for example, as shown in FIG. 26, sandwiched therebetween inner boundary line T _1i and outer boundary T _1o border T ₁ is present, the inner boundary as described above paint discharge amount P by gradually decreased toward the outer boundary T _1o from the line T _1i, it is possible to obtain a coating film of the same uniform thickness and FIG 18 (c). By performing such a coating method for regions A and B and C, regions B and A and C, and regions C and regions A and B, respectively, the entire coated surface 2a is coated with a coating film having a uniform thickness. Can be done.

[Configuration of Inkjet Printing Device]
Next, a preferable inkjet printing apparatus for carrying out a coating method for forming a coating film on a plurality of adjacent regions according to the present invention with a uniform thickness will be described. FIG. 19 is a configuration diagram showing an embodiment of an inkjet printing device for carrying out the coating method according to the present invention. The illustrated inkjet printing device 10 is roughly described by an inkjet print head 1, an X-axis moving mechanism 3 that reciprocates the inkjet print head 1 in the X-axis direction by a driving motor (not shown), and a driving motor (not shown). Control of a Y-axis moving mechanism 4 that reciprocates the print head 1 in the Y-axis direction, a drive motor (not shown) of the X-axis moving mechanism 3 and the Y-axis moving mechanism 4, and control of controlling the ejection of paint from the inkjet print head 1. It is configured to include the device 5. The XY table 6 is configured by the X-axis moving mechanism 3 and the Y-axis moving mechanism 4, and the inkjet print head 1 is attached to the XY table 6. Then, the ejection of the inkjet print head 1 is controlled by controlling the X-axis moving mechanism 3 and the Y-axis moving mechanism 4 according to a program stored in advance in the control device 5, and the plurality of nozzles of the inkjet print head 1 are directed toward the object to be coated 2. The paint is discharged and painting is performed. Further, a mounting table (not shown) on which the object to be coated 2 is placed is arranged below the XY table 6, and this mounting table divides the surface to be coated of the object to be painted 2 into a plurality of regions. The holding position of the object to be coated 2 can be changed so that the distance from the inkjet print head 1 can be increased.

The control device 5, a control program for controlling the paint discharge amount P _Q according the formula shown in Example 1-3, paint information (both not shown) memory and CPU for storing data such as main having a like Inkjet printing based on the control of the control device 50, the drive system control device 51 that controls each drive motor of the X-axis movement mechanism 3 and the Y-axis movement mechanism 4 based on the control of the main control device 50, and the control of the main control device 50. A discharge control device 52 for driving a piezoelectric element or the like (not shown) provided for each color nozzle of the head 1 to control the discharge of paint is provided. Further, the holding position of the object to be coated 2 is controlled to be changed by appropriately moving a mounting table (not shown).

[Control example]
Next, the coating control of the inkjet printing apparatus 10 will be described with reference to FIGS. 3 and 17. FIG. 3 is a flowchart showing an embodiment of the coating method of the first embodiment, and FIG. 17 is a flowchart showing an embodiment of the coating method of the second embodiment. First, the case of the first embodiment will be described. When performing coating by dividing the surface to be coated 2a of the coated member 2 into a plurality of areas as shown in FIG. 1, calculates the paint discharge amount P _Q in Q the above-mentioned points to the main controller 50 in advance driver 5 After inputting various information such as the area A to D and each boundary line T ₁ , the film thickness of the coating, the coating amount, the coating color, etc., the coating control is started. .. The distances to the inner parallel line T _1i and the outer parallel line T _{1o with} respect to the boundary line T ₁ may be input as appropriate, or may be configured to be calculated from the film thickness. Then, the main control device 50 controls the drive system control device 51 based on various input information, drives the X-axis moving mechanism 3 and the Y-axis moving mechanism 4, and moves the inkjet print head 1 to the painting start position. At the same time, the mounting table (not shown) is moved to change the holding position so that the area A is close to the inkjet print head 1. Next, the main control device 50 starts driving the X-axis moving mechanism 3, and the paint ejection amount P per unit area required to obtain a coating film having a predetermined uniform thickness shown in FIG. 18A. The discharge control device 52 is controlled so as to discharge the paint from the inkjet print head 1 (step S1). Then, when the inkjet print head 1 reaches the inner parallel line _T1i shown in FIG. 18A (step S2), the discharge control device 52 controls the discharge amount of the paint (step S3). That is, the main control device 50 sets the paint discharge amount at the boundary line T ₁ to 50% of P and the paint discharge amount at the outer parallel line T _1o to P based on the paint discharge amount based on the pre-programmed formula. The discharge control device 52 is controlled so as to gradually decrease to 0%.

Then, when the main control device 50 recognizes that the inkjet print head 1 has reached the outer parallel line T _1o (step S4), the main control device 50 controls the discharge control device 52 to discharge the paint of the inkjet print head 1. Is stopped (step S5). As a result, the coating of the region A with the desired coating film is completed as shown in FIG. 18A.

Next, the main control device 50 moves a mounting table (not shown) to change the holding position so that the area B is close to the inkjet print head 1, and paints the area B side in the same procedure as the area A. To do. That is, it is achieved by carrying out steps 1 to 5 in step S6 from the direction opposite to the area A. Finally, a uniform coating film as shown in FIG. 18C with a coating film thickness of 9 can be formed on the surface to be coated.

This can be the same as the film thickness on both sides of the region A and B the thickness at the boundary T _1, the coating of the entire irregularities and without causing wavy line uniform thickness of the surface to be coated 2a A film can be formed. Then, by coating the regions B and C and the regions C and D in the same steps as in the case of the above-mentioned regions A and B, the entire surface to be coated 2a can be coated with a coating film having a uniform thickness.

Next, the case of the second embodiment will be described. When the surface to be coated 2a of the object to be coated 2 is divided into three regions A, B, and C as a plurality of regions as shown in FIG. 4 and painted, the region A, the region A, is previously applied to the main control device 50 of the drive unit 5. B, paint discharge amount P _Q aforementioned paint discharge amount control program based on the calculation formula for calculating the to perform painting and C, the regions a, B, C and the boundary line _{T 1, T 2, T 3} , paint After inputting various information such as the film thickness, coating amount, coating color, etc., coating control is started. The distances to the first inner boundary line T _1i and the first outer boundary line T _{1o with} respect to the boundary line boundaries T ₁ , T ₂ , and T ₃ may be appropriately input or calculated from the film thickness. It may be configured as follows. When the input of various information is completed, painting is started from the area A. The main control device 50 controls the drive system control device 51 based on various input information, drives the X-axis moving mechanism 3 and the Y-axis moving mechanism 4, and moves the inkjet print head 1 to the painting start position. , A mounting table (not shown) is moved to change the holding position so that the area A is close to the inkjet print head 1. Next, the main control device 50 starts driving the X-axis moving mechanism 3, and the paint ejection amount P per unit area required to obtain a coating film having a predetermined uniform thickness shown in FIG. 18A. The discharge control device 52 is controlled so as to discharge the paint from the inkjet print head 1 (step S11). Then, when the inkjet print head 1 reaches the inner boundary line _T1i shown in FIG. 18A (step S12), the discharge amount is gradually reduced toward the outer boundary line _T1o and becomes 0 on the outer boundary line _T1o. The discharge amount of the paint is controlled by the discharge control device 52 so as to be% (step S13).

When the inkjet printing head 1 has a main controller 50 that it has reached the outer boundary T _o recognize (step S14), and the main control unit 50 discharge the ink jet print head 1 coating to control the discharge control unit 52 Is stopped (step S15). By appropriately repeating such control, painting on the region A is completed.

Next, the main control device 50 moves a mounting table (not shown) to change the holding position so that the area B is close to the inkjet print head 1, and the area B side is also shown in steps S1 to S5 similar to the area A. Painting is performed according to the procedure (step S16). That is, a direction opposite to the painted area A in the case of painting the vicinity of the boundary line T ₁ of the a region A in the coating region B, that the discharge amount from the outer boundary T _1o towards the inner boundary line T _{1i Is} gradually reduced, and the discharge amount of the paint is controlled by the discharge control device 52 so as to be 0% on the inner boundary line _T1i . Then, when the painting of the area B is completed, the main control device 50 moves a mounting table (not shown) to change the holding position so that the area C is close to the inkjet print head 1 in order to paint the area C, and moves to the area C side. On the other hand, painting is carried out in the same procedure as in areas A and B (step S17). As a result, as shown in FIG. 18C, a coating film 9 having a uniform film thickness can be finally formed on the surface to be coated 2a.

As a result, even when coating is performed for each of the regions A to C divided by the boundary lines T ₁ , T ₂ , and T ₃ , the film thickness of the entire coating film of the surface to be coated 2a is finally reduced. It can be made uniform and has the effect of not causing unevenness or wavy lines. Further, in the case of Example 3, painting can be performed in the same manner.

As described above, the preferred embodiment of the present invention has been described in detail, but the present invention is not limited to the specific embodiment, and within the scope of the gist of the present invention described in the claims. Needless to say, various modifications and changes are possible.

The coating method using an inkjet print head according to the present invention can be applied not only to the above-mentioned coating of a vehicle body or the like, but also to a coating application of a flat building board or the like.

1 Inkjet printhead 2 Painted object 2a Painted surface 3 X-axis moving mechanism 4 Y-axis moving mechanism 5 Control device 6 XY table 7-9 Paint 10 Inkjet printing device 50 Main control unit 51 Drive system control unit 52 Discharge Control unit A to D area P Paint discharge amount per unit area required to obtain a coating film of uniform thickness P _Q Paint discharge amount at any point Q T _{1 to} T ₄ Boundary line

Claims (4)

A coating method of coating the coating material discharged from the ink jet print head while dividing the surface to be coated in a plurality of regions, in which each of the divided regions is paired toward the ink jet print head,
A predetermined area and border and the flat line inner boundary of the other region adjacent thereto and an outer boundary line assumes each coating between the outer boundary and the inner boundary line is painted object On the opposite outer or inner border, the amount of paint ejected is gradually reduced from the inner or outer border existing within the predetermined area toward the opposite outer or inner border. Control the amount of paint discharged so that it becomes zero ,
A coating method characterized in that the distance from the boundary line to the inner boundary line and the distance from the boundary line to the outer boundary line are set based on the film thickness of the coating film . A coating method of coating the coating material discharged from the ink jet print head while dividing the surface to be coated in a plurality of regions, in which each of the divided regions is paired toward the ink jet print head,
The inner side boundary line of the inside of the certain region of the boundary T ₁ boundary T ₁ or et plants constant of distance L ₁ between the and a region obtained by dividing the surface to be coated region adjacent thereto T _1i and, Q points existing between the outer side boundary line T _1o of the boundary line T ₁ of the predetermined distance L ₁ from the boundary line T ₁ in the region where an outer adjacent to the certain region When the distance from the inner boundary line _T1i is m and the amount of paint discharged from the inkjet printhead per unit area required to form the coating film of the predetermined thickness is P, the point Q By calculating the paint discharge amount P _Q in the above according to the following formula and performing coating, the adjacent region is coated with a uniform coating film via the boundary line T ₁ .
A coating method characterized in that the distance from the boundary line T ₁ to the inner boundary line T _1i and the distance from the boundary line T ₁ to the outer boundary line T _1o are set based on the film thickness of the coating film. ..
P _Q = P × (2L ₁ −m) / 2L ₁ The surface to be coated is divided into a plurality of regions, and each of the divided regions is ejected from the inkjet print head in a state of being close to the inkjet print head at a distance at which the paint ejected from the inkjet print head does not dissipate. It is a painting method that paints with paint.
In the case where three realm in the plurality of regions are adjacent to each other have one of the intersection point (O),
The first to the first position to the inner boundary line T ₁ of the between the second region adjacent thereto with a predetermined area Der Ru first region of said three regions (A) (B) A virtual first inner boundary line T _{1i is} located in the region (A) at a position separated from the first boundary line T ₁ by a distance L ₁ having a length of at least 50 times the thickness of the coating film. together assume, spaced the first predetermined distance L ₁ and equidistant the first from the boundary line T ₁ in the second region (B) located outside the border T ₁ position Assuming a virtual first outer boundary line T _1o ,
Wherein the first region located on the inner side of the second boundary line T ₂ of the between the other of the third region adjacent thereto and the first region of the surface to be coated (A) (C) (A ), A virtual second inner boundary line T _2i is assumed at a position separated from the second boundary line T ₂ by the distance L _1, and is located outside the second boundary line T _2. A virtual second outer boundary line T _2o is assumed at a position equidistant from the second boundary line T ₂ to the distance L _{1 in} the third region (C).
Four formed by extending the first inner boundary line T _1i , the first outer boundary line T _1o, the second inner boundary line T _2i, and the second outer boundary line T _2o , respectively. Of the four sides of the quadrangle whose vertices are the intersections (a, b, c, d), the second outer boundary line _T2o passes through the middle point e of the side (bc) formed by the second outer boundary line _T2o . region (B) and the third region assuming a parallel temporary boundary T _{3 'to} the boundary line T ₃ between (C), and further wherein the first inner and the second outer boundary T _2o together assume a third inner border T _3'I said parallel through the intersection b with the temporary boundary T _{3 'between} the boundary line T _1i, the second outer boundary T _2o and the first assuming parallel third outer boundary T _3'O with the temporary boundary T _{3 'through} the intersection c between the outer boundary T _1o, the third inner border T _3'I and the temporary the distance between the distance and the third outer boundary T _3'O between the boundary line T _{3 'and} each L _2,
Distance from the first inner boundary line T _1i when an arbitrary point Q on the surface to be coated exists between the first inner boundary line T _1i and the first outer boundary line T _1o. Is m, and the distance from the second inner boundary line T _2i when the arbitrary point Q exists between the second inner boundary line T _2i and the second outer boundary line T _2o. and n, from the third inner border T _3'I in a case where the point Q is present between the said and the third inner border T _3'I third outer boundary T _3'O Let s be the distance of
When the amount of paint discharged from the inkjet printhead per unit area required to form a coating film of a predetermined thickness is P, the first to third regions (A, B, C) are painted. Is characterized in that the surface to be coated is coated with a coating film having a uniform predetermined thickness as a whole by calculating the coating discharge amount P _Q at the arbitrary point Q according to the following formula and performing coating. A coating method in which a coating film is formed on a plurality of adjacent regions having a uniform thickness.

(1) Painting of First Area (A) The arbitrary point Q is inside the first area (A) inside the first inner boundary line _T1i and the second inner boundary line _T2i . If located in
P _Q = P
When the arbitrary point Q is located between the first inner boundary line T _1i and the first outer boundary line T _1o.
P _Q = P × (2L ₁ −m) / 2L ₁
When the arbitrary point Q is located between the second inner boundary line T _2i and the second outer boundary line T _2o.
P _Q = P × (2L ₁ −n) / 2L ₁

However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −m) / 2L ₁ } × {(2L ₁ −n) / 2L ₁ }

(2) Painting of the second region (B) The arbitrary point Q is the second region (B) inside the first outer boundary line T _1o and the third outer boundary line T _3'o. If located inside
P _Q = P
When the arbitrary point Q is located between the first outer boundary line T _1o and the first inner boundary line T _1i.
P _Q = P × m / 2L ₁
When the arbitrary point Q is located between the third outer boundary line T _3'o and the third inner boundary line T _3'i.
P _Q = P × s / 2L ₂
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × m / 2L ₁

(3) Painting of the third region (C) The arbitrary point Q is the third region (C) inside the second outer boundary line T _2o and the third inner boundary line T _3'i. ) When located in
P _Q = P
When the arbitrary point Q is located between the second outer boundary line T _2o and the second inner boundary line T _2i.
P _Q = P × n / 2L ₁
When the arbitrary point _Q is located between the third inner boundary line T _3'i and the third outer boundary line T _3'o.
P _Q = P × (2L _2- s) / 2L ₂
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −m) / 2L ₁ } × (n / 2L ₁ ) The surface to be coated is divided into a plurality of regions, and each of the divided regions is ejected from the inkjet print head in a state of being close to the inkjet print head at a distance at which the paint ejected from the inkjet print head does not dissipate. It is a painting method that paints with paint.
In the case where four realm in the plurality of regions are adjacent to each other have one of the intersection point (O),
The first to the first position to the inner boundary line T ₁ of the between the first region is a predetermined region (A) and a second region adjacent to (B) of said four areas A virtual first inner boundary line T _1i is provided at a position separated from the first boundary line T ₁ by a distance L ₁ having a length of at least 50 times the thickness of the coating film in the region (A). together assume a position spaced a predetermined distance L ₁ and the same distance from the first boundary line T ₁ in said second region located outside the first boundary line T ₁ (B) Assuming a virtual first outer boundary line T _1o ,
Wherein the first region located on the inner side of the second boundary line T ₂ of the between the other of the third region adjacent thereto and the first region of the surface to be coated (A) (C) (A ), A virtual second inner boundary line T _2i is assumed at a position separated from the second boundary line T ₂ by the distance L _1, and is located outside the second boundary line T _2. A virtual second outer boundary line T _2o is assumed at a position equidistant from the second boundary line T ₂ to the distance L _{1 in} the third region (C).
Four formed by extending the first inner boundary line T _1i , the first outer boundary line T _1o, the second inner boundary line T _2i, and the second outer boundary line T _2o , respectively. Of the four sides of the quadrangle whose vertices are the intersections (a, b, c, d), the third side passes through the midpoint e of the side (bc) formed by the second outer boundary line _T2o . border T ₃ assumes parallel provisional boundary line T _{3 'in} further wherein the second outer boundary T _2o first inner boundary between the region (C) and the fourth region (D) together through the intersection b with the line T _1i assumes the third inner border T _3'I parallel to the temporary boundary T _{3 ',} the first outer and second outer boundary T _2o through the intersection c between the boundary line T _1o assuming the temporary boundary T _{3 'parallel} to the third outer boundary T _3'O, the said third inner border T _3'I temporary boundary and the distance between lines T _{3 'and} the distance between the third outer boundary T _3'O respectively L _2,
Of the four sides of the square (a, b, c, d), the second region (B) passes through the midpoint f of the side (cd) formed by the first outer boundary line _T1o . and the fourth region assuming a temporary boundary T _{4 'parallel} to the boundary line T ₄ between the (D), further wherein the first of said outer boundary line T _1o second outer boundary T _2o intersection the through c as well as assume a temporary boundary T _{4 'parallel} to the fourth inner border T _4'I, said first outer boundary T _1o and the second inner boundary T between through the intersection d between _2i assuming fourth outer boundary T _4'O parallel to the temporary boundary T _{4 ',} the said fourth inner border T _4'I temporary boundary T ₄ the distance between the distance and the fourth outer boundary T _4'O between _'and L _3, respectively,
Distance from the first inner boundary line T _1i when an arbitrary point Q on the surface to be coated exists between the first inner boundary line T _1i and the first outer boundary line T _1o. Is m, and the distance from the second inner boundary line T _2i when the arbitrary point Q exists between the second inner boundary line T _2i and the second outer boundary line T _2o. and n, from the third inner border T _3'I in a case where the point Q is present between the said and the third inner border T _3'I third outer boundary T _3'O the distance between the s, the fourth inner border T ₄ when present between the said point Q and the fourth inner border T _4'I fourth outer boundary T _{4'O Let} t be the distance from'i
When the amount of paint discharged from the inkjet printhead per unit area required to form a coating film of a predetermined thickness is P, the first to fourth regions (A, B, C, D) ) Is painted by calculating the paint discharge amount P _Q at any point Q according to the following formula and painting the surface to be painted with a coating film having a uniform thickness as a whole. A coating method for forming a coating film having a uniform thickness on a plurality of adjacent regions.
(1) Painting of First Area (A) The arbitrary point Q is inside the first area (A) inside the first inner boundary line _T1i and the second inner boundary line _T2i . If located in
P _Q = P
When the arbitrary point Q is located between the first inner boundary line T _1i and the first outer boundary line T _1o.
P _Q = P × (2L ₁ −m) / 2L ₁
When the arbitrary point Q is located between the second inner boundary line T _2i and the second outer boundary line T _2o.
P _Q = P × (2L ₁ −n) / 2L ₁
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −m) / 2L ₁ } × {(2L ₁ −n) / 2L ₁ }

(2) Painting of the second region (B) The arbitrary point Q is the second region (B) inside the first outer boundary line T _1o and the fourth outer boundary line T _4'o. If located inside
P _Q = P
When the arbitrary point Q is located between the first outer boundary line T _1o and the first inner boundary line T _1i.
P _Q = P × m / 2L ₁
When the arbitrary point Q is located between the fourth outer boundary line T _4'o and the fourth inner boundary line T _4'i.
P _Q = P × t / 2L ₃
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −n) / 2L ₁ } × (m / 2L ₁ )

(3) Painting of the third region (C) The arbitrary point Q is the third region (C) inside the second outer boundary line T _2o and the third inner boundary line T _3'i. ) When located in
P _Q = P
When the arbitrary point Q is located between the second outer boundary line T _2o and the second inner boundary line T _2i.
P _Q = P × n / 2L ₁
When the arbitrary point Q is located between the third inner boundary line T _3'i and the third outer boundary line T _3'o.
P _Q = P × (2L _2- s) / 2L ₂
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × {(2L ₁ −m) / 2L ₁ } × (n / 2L ₁ )

(4) Painting of the fourth region (D) The arbitrary point Q is the fourth region inside the third outer boundary line T _3'o and the fourth inner boundary line T _4'i ( When located in D)
P _Q = P
When the arbitrary point Q is located between the third outer boundary line T _3'o and the third inner boundary line T _3'i.
P _Q = P × s / 2L ₂
When the arbitrary point Q is located between the fourth inner boundary line T _4'i and the fourth outer boundary line T _4'o.
P _Q = P × (2L ₃ −t) / 2L ₃
However, when the arbitrary point Q is located inside the quadrangle (a, b, c, d)
P _Q = P × (m / 2L ₁ ) × (n / 2L ₁ )

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