JPH09161083A - Method and device for displaying pseudo-three dimensional graph - Google Patents

Abstract

PROBLEM TO BE SOLVED: To prepare a simple three-dimensional graph speedily concerning a method and device for displaying the pseudo-three dimensional graph. SOLUTION: This device is provided with a stereoscopic frame graphic information setting part 6 setting stereoscopic frame graphic information setting the respective minimum and maximum values of three valuables as vertexes, a first two-dimensional graph group preparing means 7 preparing a two-dimensional graph on a surface parallel with the first reference surface of a stereoscopic graphic, a second two-dimensional graph group preparing means 8 preparing a two-dimensional graph on a surface parallel with the second reference surface crossing the first reference surface, a plotting means 9 plotting by the information from the stereoscopic frame graphic information setting part 6, a first and second two-dimensional graph group preparing means 7 and 8, and a display means 10 displaying the pseudo-three dimensional graph within the stereoscopic frame graphic corresponding to the output of the plotting means 9. Two-dimensional graphs expressing the relation of the two variables among three variables are plurally prepared by setting the remaining one variable to be a parameter and these two-dimensional graphs are displayed by shifting little by little.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a pseudo three-dimensional graph display method and a pseudo three-dimensional graph display device which are applied to create a three-dimensional graph represented by three variables.

[0002]

2. Description of the Related Art Conventionally, in a control in which a control amount is determined by a plurality of parameters, a control map is generally made into a three-dimensional graph in order to show the tendency of the control characteristics in a visually understandable manner. . For example, in a control map in which an output value (control amount) Z is determined from two variables X and Y, a workstation, a personal computer (including a CAD terminal), or the like is used, and X, Y is set in a three-dimensional space. , Z are provided as Cartesian coordinates, each point is input based on these Cartesian coordinates, and adjacent points are connected by a straight line to create a three-dimensional graph (see FIGS. 3 and 4). can do.

How to create such a three-dimensional graph
By law, three-dimensional from any direction through the display
The graph can be displayed. Where above
Briefly explaining how to create the 3D graph of
First, the data of the control map as shown in FIG.
Import to a null computer or workstation
Then, (X₁, Y₁), (X₁, Y_Two) ...
(X _n, Y_n) And the output value Z (1,
1), Z (1,2), ..., Input Z (n, n),
Connect the points that meet each other with straight lines. Basically, this is 3
A dimension graph is created.

Then, as shown in FIG. 22, the solid graph thus created is projected onto an arbitrary plane.
This makes it possible to view a three-dimensional graph in a plane by converting the three-dimensional graph into two dimensions on the display. Now, the conventional method of creating a three-dimensional graph will be described more specifically. First, as shown in FIG. 22, coordinates on a plane onto which a three-dimensional graph is projected (hereinafter referred to as a projection surface) are PX and PY. Also, as shown in FIG. 23, if the rotation angle of the XY plane about the Z axis with respect to this projection plane is θ _H and the inclination of the XY plane with respect to this projection plane is θ _U , this stereograph is projected onto a two-dimensional plane. The calculation procedure is as follows.

First, the axis scale conversion coefficients K _X , K _Y and K _Z for fitting the three-dimensional graph on the projection surface are obtained. here,
For example, if the graph is put in a cube of size 250 × 250 × 250, K _X = 250 · (maximum value of X−minimum value of X) _KY = 250 · (maximum value of Y−minimum value of Y) K _Z = 250 · (Z maximum value−Z minimum value).

Next, in the following 1 to 3, the value on the PX axis on the projection surface is obtained. 1. Calculate deviation on PX axis at _X value PX _X = (X × K _X ) COS (90 ° -θ _H ) 2. Calculate deviation on PX axis at _Y value PX _Y = (Y × K _Y ) .COS (θ _H ) 3. Calculate the value of PX PX = PX _X −PX _{Y As} shown in FIG. 24, the above PX _X is the PX of the X value.
PX _Y is the PX component of the Y value.

Next, in the following 4 to 9, the value on the PY axis on the projection plane is obtained. 4. Calculate component PY _X orthogonal to PX _{X of} X value PY _X = (X × K _X ) SIN (90 ° -θ _H ) 5. Calculate component PY _Y orthogonal to PX _{Y of Y} value PY _Y = (Y × K _Y ) · SIN (θ _H ) 6. Calculate the component orthogonal to PX of (X, Y) PXY = PY _X + PY _Y Then, if PXY is known, as shown in FIG. In this way, the value of PY can be calculated relatively easily.

7. Calculate PY deviation by _Z value PY _Z = (Z × K _Z ) · COS (θ _U ) 8. Calculate PY deviation by X and Y PY _XY = PXY · SIN (θ _U ) 9. Calculate PY value PY = PY _Z + PY _XY Plot the points (PX, PY) calculated by the above calculation on the projection surface. Then, such a calculation is performed for all points (X, Y, Z), and adjacent points are connected by a line segment.

This makes it possible to represent a three-dimensional graph having X-axis, Y-axis and Z-axis on a plane such as a display or an output sheet.

[0010]

However, as described above, in the conventional method for creating a three-dimensional graph, one point P
Each time X and PY are calculated, nine calculations from 1 to 9 are required, and there is a problem that the calculation program becomes huge. In addition, 6 out of 9 calculations are calculations by trigonometric functions, which reduces the calculation speed and takes a longer time than necessary to create a three-dimensional graph.

The present invention has been devised in view of the above problems, and provides a pseudo three-dimensional graph display method and a pseudo three-dimensional graph display device capable of creating a high-speed and simple three-dimensional graph. With the goal.

[0012]

Therefore, according to the pseudo three-dimensional graph display method of the present invention as set forth in claim 1, the two-dimensional graph representing the relationship between two variables out of three variables is represented by the above-mentioned 3
A feature is that a plurality of the remaining one of the two variables are prepared as parameters and these two-dimensional graphs are displayed while being slightly shifted.

According to the pseudo three-dimensional graph display method of the present invention as defined in claim 2, a two-dimensional graph showing a relationship between two variables out of three variables is displayed as the remaining one variable among the three variables. Prepare multiple parameters as parameters.
The two-dimensional graph is displayed by shifting it little by little, and
It is characterized in that the above three variables are pseudo-displayed as a three-dimensional graph by connecting the portions of each two-dimensional graph corresponding to the same value for at least one of the two variables with a line segment. .

According to the pseudo three-dimensional graph display method of the present invention as defined in claim 3, a two-dimensional graph showing the relationship between two variables out of the three variables is created in the reference plane, and the above three Using the remaining one variable as a parameter, the two-dimensional graph is sequentially shifted from the reference plane little by little, and a plurality of them are created. After that, at least one of the two variables has the same value. It is characterized in that a pseudo three-dimensional graph is created for the above three variables and the pseudo three-dimensional graph is displayed by connecting the corresponding two-dimensional graph portions with line segments.

Further, the pseudo three-dimensional graph display method of the present invention according to claim 4 assumes a three-dimensional frame figure recognized by a perspective display with the minimum value and the maximum value of three variables as vertices, and A plane having a frame graphic or a plane parallel to this plane is used as a two-dimensional graph creation reference plane, and at least one plane parallel to the two-dimensional graph creation reference plane in the three-dimensional frame graphic is created as a two-dimensional graph. As a surface, a two-dimensional graph representing the relationship between two variables of the above three variables is created on the two-dimensional graph creation reference surface, and the remaining one variable of the above three variables is used as a parameter. Creating the two-dimensional graph on the two-dimensional graph creation surface, and thereafter connecting the portions of each two-dimensional graph corresponding to the same value for at least one of the two variables with a line segment More, for the above three variables, it is characterized by displaying the pseudo three-dimensional graph to create a pseudo three-dimensional graph.

According to the pseudo three-dimensional graph display method of the present invention as defined in claim 5, a three-dimensional frame figure which is recognized in a perspective display with the minimum and maximum values of three variables as vertices is assumed, A plane having a frame graphic or a plane parallel to this plane is used as a first two-dimensional graph creation reference plane, and at least one or more planes parallel to the first two-dimensional graph creation reference plane are included in the three-dimensional frame graphic. The plane is the first 2
A two-dimensional graph representing the relationship between two variables of the above three variables is created on the first two-dimensional graph creation reference surface as a three-dimensional graph creation surface, and the remaining one of the three variables is Creating the two-dimensional graph on the first two-dimensional graph creation surface using two variables as parameters, and
In the three-dimensional frame figure, a second two-dimensional graph creation reference plane intersecting with the first two-dimensional graph creation reference plane is defined, and the second two-dimensional graph creation reference plane is defined in the three-dimensional frame figure. At least one or more planes parallel to each other are used as a second two-dimensional graph creation surface, and a two-dimensional graph is created on the second two-dimensional graph creation reference surface. Used the above two variables and 1
A two-dimensional graph representing the relationship between two variables with two different variables is created, and the two-dimensional graph is created on the second two-dimensional graph creation surface using the remaining one of the three variables as a parameter. By doing so, a pseudo three-dimensional graph is created for the above three variables, and the pseudo three-dimensional graph is displayed.

According to the pseudo three-dimensional graph display device of the present invention as defined in claim 6, a three-dimensional frame for setting three-dimensional frame graphic information which is recognized in perspective display with the minimum value and the maximum value of three variables as vertices, respectively. The graphic information setting means and a surface having the three-dimensional frame graphic or a surface parallel to this surface as a first reference surface, and the first reference surface and at least one plane parallel to the first reference surface, First two-dimensional graph group creating means for creating a two-dimensional graph representing the relationship between two variables out of three variables, with the remaining one variable among the three variables as a parameter, and the three-dimensional frame. In the figure, a plane intersecting the first reference plane is defined as a second reference plane,
On the second reference plane and at least one plane parallel to the second reference plane, the first two-dimensional graph group creating means 2
A second two-dimensional graph representing the relationship between the two variables used when the two-dimensional graph was created and the two variables different in one variable is created using the remaining one variable of the three variables as a parameter. 2D graph group creating means, 3D frame graphic information setting means, 1st 2D graph group creating means, and 2D 2D graph group creating means And display means for displaying a pseudo three-dimensional graph in the three-dimensional frame figure according to the output of the drawing means.

[0018]

BEST MODE FOR CARRYING OUT THE INVENTION A pseudo three-dimensional graph display method and a pseudo three-dimensional graph display device according to an embodiment of the present invention will be described below with reference to FIGS. According to the present invention, a three-dimensional graph (three-dimensional graph) conventionally drawn in a three-dimensional space is displayed as if it were three-dimensional in a two-dimensional plane.
It creates a pseudo three-dimensional graph as if it was created in a three-dimensional space, and specifically, draws a perspective view of a three-dimensional graph drawn in a three-dimensional space on a two-dimensional plane. It is something that is done.

Here, a brief description will be given of an entire system which is a premise of the pseudo three-dimensional graph display device of the present invention. As shown in FIG. 2, this system is a ROM (read only memory) storing control data. 1, a ROM writer (data input means) 2 for reading data stored in the ROM 1, and a computer 3 for taking in data transferred from the ROM writer (data input means) 2 and processing the data.
The computer 3 is provided with a display (display means) 10 for displaying the result of the arithmetic processing and a printer 4 for outputting the result of the arithmetic processing by the computer 3.

The computer 3 has a CPU
A (central processing unit) 5 is provided, and as shown in FIG. 1, this device mainly comprises a solid frame graphic information setting means 6 provided for the CPU 5 and a first two-dimensional graph group creating means 7. And a second two-dimensional graph group creating means 8 and a drawing means 9 for performing automatic drawing. First, above
As shown in the figure, the second two-dimensional graph group creating means 7 and 8 are connected to a ROM writer 2 as a data input means, and the control data stored in the ROM 1 is stored in the ROM.
It is adapted to be taken into the first and second two-dimensional graph group creating means 7 and 8 of the CPU 5 via the writer 2.

Further, the three-dimensional frame graphic information setting means 6 uses the RO
Three variables of the control data stored in M1 (eg,
X, Y, Z) is a means for setting a three-dimensional frame figure having respective minimum and maximum values as vertices, and more specifically, on a two-dimensional plane, a rectangular parallelepiped shape as shown in FIG. The perspective view is set as a three-dimensional frame figure. The three-dimensional frame graphic is the shape of a frame for drawing a pseudo three-dimensional graph, and is specifically the outer frame of the graph.

Based on the information from the ROM writer 2, the above-mentioned first two-dimensional graph group creating means 7 sets the plane having the solid frame graphic as the first reference plane, and the first reference plane and the first reference plane. It is a means for creating a two-dimensional graph showing the relationship between two variables out of three variables on a plane parallel to the reference plane, with the remaining one variable as a parameter. That is, as shown in FIG. 9, assuming that the XZ plane is the first reference plane, the first two-dimensional graph group creating means 7 is the ROM 1
Using the data (X, Y, Z) stored inside, a two-dimensional graph showing the relationship between two variables X and Z on the XZ plane (first reference plane) (hereinafter, in the XZ plane It is a means to create a drawn graph called Ymap). Then, after Ymap is created on the XZ plane (first reference plane), a plurality of Ymaps are created on a plane parallel to the XZ plane with the value of Y as a parameter. The first
In the two-dimensional graph group creating means 7, the Y value is set so that the plurality of surfaces are evenly spaced.

Further, each Ymap created in this way
Are automatically drawn by the drawing means 9. At this time, as shown in FIG. 6, the Ymaps are arranged so as to be slightly shifted according to the shape of the three-dimensional frame graphic, whereby the Ymaps look three-dimensional. The second two-dimensional graph group creating means 8 has substantially the same function as the first two-dimensional graph group creating means 7, and is different only in the plane for creating the two-dimensional graph. That is, in the second two-dimensional graph group creating means 8,
A plane orthogonal to the first reference plane (XZ plane) is set as the second reference plane (for example, YZ plane), and the second reference plane (Y
A two-dimensional graph (Xmap) representing the relationship between two variables Y and Z is formed on a plane parallel to the (Z plane). Then, Xma is set on the second reference plane (YZ plane).
After creating p, a plurality of Xmaps are created as X value parameters on a plurality of planes parallel to the second reference plane (YZ plane).

In the drawing means 9, such Xma
A pseudo three-dimensional graph is created by drawing p and Ymap. In addition, the display means 10 is adapted to display a pseudo three-dimensional graph in the three-dimensional frame graphic according to the output from the drawing means 9. Further, as shown in FIG. 1, the CPU 5 is also provided with a scale setting means 11 for setting a scale on the three-dimensional frame graphic.
This is to automatically set the scale for each axis based on the minimum value and maximum value of each of the three variables in the three-dimensional frame graphic information setting means 6 described above.

The XZ plane, the YZ plane, and the planes parallel to these planes are all processed as two-dimensional planes on the same plane in the CPU 5, but in FIG. As shown in the figure, in order to treat a three-dimensional perspective view expressed on a plane in a pseudo three-dimensional manner, each surface is distinguished and used. Next, the pseudo three-dimensional graph display method of the present invention will be specifically described.

Control data as shown in FIG. 5 is input to the ROM 1, and the control data is stored in the ROM writer 2.
Are taken out and transferred to the CPU 5. This control data includes Xmap (1), Xmap (2), ...
Xmap (10) and Ymap (1), Ymap (2) as Y value, ...
.., Ymap (10) and control values dt (1, 1), ..., dt (10, as Z values corresponding to these X and Y values
10) is set.

In the following, when describing three-dimensional coordinates, characters such as X, Y, and Z are mainly used, and when describing coordinates in a two-dimensional space, x and y are mainly used. Use letters. In the following, the YZ plane (and the graph showing the relationship between Y and Z represented on the YZ plane) as the second reference plane in X = Xmap (1) will be referred to as Xmap (1) again, and X = Xmap (2) to Xmap (10), and the YZ plane as the first reference plane is re-defined as Xmap (2) to Xmap respectively.
It is called map (10). Similarly, Y = Ymap (1) to Ymap
The XZ plane corresponding to (10) is called Ymap (1) to Ymap (10).

Now, in the CPU 5, such three-dimensional data is processed in a two-dimensional space to create a three-dimensionally visible graph. In such a case, first, focusing on the relationship between X and Z when Y has a certain value [for example, Y = Ymap (1)], the work of graphing the relationship between XZ at this time is performed. Such work is a normal graph creation work in a two-dimensional space, and the process can be easily executed. Then, as a result, for example, a graph as shown in Ymap (1) in FIG. 6 is obtained.

In this way, the Y value is Ymap (1), Ymap
(2), ..., The relationship of each XZ in the case of Ymap (10) is graphed, and the graphs of Ymap (1) to Ymap (10) are first created. Then, these ten graphs are shown in FIG.
As shown in, by arranging them at a predetermined angle by a predetermined interval, it is possible to create a three-dimensional graph with a sense of depth in the Y direction.

Further, as described above, Ymap (1) to Ymap (10)
After arranging according to a predetermined arrangement, this time, Xmap (1) to Xmap (10) are created using the Y value as a parameter,
These graphs Xmap (1) to Xmap (10) are indicated by Y in FIG.
It is arranged on a plane parallel to the Z plane with a predetermined angle and a predetermined interval. The Xmap (1) to Xmap (10) can also be arranged on a plane parallel to the YZ plane by performing the same calculation as Ymap (1) to Ymap (10).

Next, the arrangement of the graphs Ymap (1) to Ymap (10) will be described. As shown in FIG. 7, the predetermined angle at which the Ymaps are arranged is θ ₁ (hereinafter, map angle θ ₁ ), and the length of the straight line L of the map angle θ ₁ is L ₁ . Also, if the value on the foremost side of the Y axis is Ymap (1), the bth Ymap (b)
The position of is calculated by the following equation (1).

[0032]

[Equation 1]

In the above equation,

[0034]

(Equation 2)

The part (3) is an expression for unitizing the distance between Ymap (1) to Ymap (10).
The position of (1) can be set to 0 on the Y-axis (initial value), and the position of Ymap (10) can be set to 1 on the Y-axis (maximum value).
It can be. Next, as shown in FIG. 8, the displacements in the x direction and the y direction in the two-dimensional space after Ymap (2) are calculated using the following equations (2) and (3). As shown in FIGS. 6 to 9, the xy coordinates are orthogonal coordinates set in a two-dimensional space, and are the coordinates that serve as a reference for actually performing processing in the CPU 5.

[0036]

(Equation 3)

[0037]

(Equation 4)

Now, when the size of the solid frame figure is set as shown in FIG. 9, the data value Z = dt when the values of X and Y are Xmap (a) and Ymap (b), respectively. (A,
b) is as follows on the xy coordinates. x = x _Yof + xbase (4) y = y _Yof + ybase (5) Here, as shown in FIG. 13, x _Yof and y _Yof are Yma
It is an x value and ay value when the coordinates on p (b) are converted into xy coordinates, and is a shift amount (offset) between Ymap (b) and Ymap (1) [first reference plane]. Xbase and ybase are Yma
These are the x and y coordinates on p (b). Note that, as shown in FIG. 13, here, the lower left vertex of the solid frame figure is x.
It is the origin of the y coordinate.

The above-mentioned x _Yof and y _Yof are calculated by the following equations (6) and (7), respectively.

[0040]

(Equation 5)

[0041]

(Equation 6)

Further, xbase and ybase are calculated by the following equations (8) and (9), respectively.

[0043]

(Equation 7)

[0044]

(Equation 8)

Therefore, the value of x is calculated by substituting the equations (6) and (8) into the equation (4), and the equations (7) and (9) are substituted into the equation (5). Thus, the value of y is calculated. That is, the following equations (10), (1
According to 1), the coordinates represented by the X value, the Y value, and the Z value can be expressed by the (x, y) coordinates in the two-dimensional space.

[0046]

(Equation 9)

[0047]

(Equation 10)

Then, the calculation of the equations (4) to (11) is first performed for the X value and the Z value in Ymap (1), and the adjacent points among the coordinates of the respective points thus obtained are calculated. X and Z in Ymap (1) by connecting
The relationship with can be graphed. Furthermore, by repeating such calculation from Ymap (2) to Ymap (10), it is possible to create a graph having a depth in the Y direction.

Then, the calculation as described above is performed by Xmap (1)-
By executing Xmap (10), you can create a graph with depth in the X direction.
2 pseudo-three-dimensional graphs as if drawn in three dimensions
It can be created in a dimensional space. Since the pseudo three-dimensional graph display method and the pseudo three-dimensional graph display device of the present invention are configured as described above, for example, FIG.
A pseudo three-dimensional graph is created according to the flowchart shown in FIG.

First, in step S1, the three-dimensional frame figure information setting means 6 sets the three-dimensional frame figure as shown in FIGS. 9 and 13, and the drawing means 9 draws the three-dimensional frame figure. The size of the three-dimensional frame graphic is preset, but the size can be changed by, for example, an operator's operation.

Next, in step S2, the scale is set on the three-dimensional frame graphic by the scale setting means 11, and the drawing means 9 is used.
The scale of the three-dimensional frame figure is drawn by. Then, b = 1 is set in step S3, and a = 1 is set in step S4. Here, a is a variable that indicates the order of the X value of the three-dimensional data. When a = 1, it indicates that the process is being performed for X = Xmap (1). ing. Similarly, b is a variable indicating the order of the Y value of the three-dimensional data. When b = 1, it means that the process is performed for Y = Ymap (1). Shows.

Then, the above steps S3 and S4
When a and b are set in step S5, the process proceeds to step S5, and the part of x _Yof shown in FIG. 13 is calculated by the following equation (12).

[0053]

[Equation 11]

Note that YL is the number of map points of the Y value.
Next, in step S6, y is calculated by the following equation (13).
_{Calculate Yof} .

[0055]

(Equation 12)

Then, in steps S7 and S8, xbase and ybase shown in FIG. 13 are calculated as x and y coordinates in Ymap (b) by the following equations (14) and (15).

[0057]

(Equation 13)

[0058]

[Equation 14]

After that, in step S9, the result calculated in steps S5 to S8 is given by equation (4),
Substituting into (5), the x and y coordinates in the two-dimensional space are calculated. Next, in step S10, a
= 1 is determined. In the first control cycle, a = 1 is set in step S4, so YES.
Then, the process goes to step S11. Then, in step S11, (x, y) calculated in step S9 is recognized as a drawing start point.

If it is determined in step S10 that a is not 1, the process advances to step S12 to calculate (x, y) in the current control cycle from (x, y) calculated in the previous control cycle. Connect up to with a line segment and draw. Then, after executing the processing of step S11 or step S12,
Next, in step S13, it is determined whether a = XL. Here, XL is the number of map points of X, and if a = XL,
This means that the drawing of the graph showing the relationship between X and Z in Ymap (b) has been completed.

If the value of a has not reached XL, the process proceeds to step S14 and the value of a is incremented to
The processing of steps S7 to S13 is performed until = XL. When a = XL, the process advances to step S15 to draw a straight line from the last calculated (x, y) to (x, y _Yof ). That is,
As shown in FIG. 13, a vertical line is drawn from the last point of Ymap (b).

Thereafter, the process proceeds to step S16, and it is determined whether b = YL. For example, in the first control cycle, b = 1, so the process proceeds to step S17 through the route of NO and b
Is incremented and the process returns to step S4. In this case, b = 2 is set, and the relationship between X and Z in Ymap (2) is graphed from step S4 to step S15. By the processing of steps S5 and S6, the graph of Ymap (2) is displayed while being shifted from the graph of Ymap (1) by a predetermined amount.

When b = YL, the drawing of the XZ graph for all Ymap is completed. That is, the drawing of the graph of the XZ plane (first reference plane) shown in FIG. 9 and the plane parallel thereto is completed. Next, the flowchart of step S18 and subsequent steps will be described.
The subsequent flow is a flow chart for creating a graph of the YZ plane (second reference plane) and a plane parallel thereto, which will be described with reference to FIG.

First, steps S18 and S19.
To set a = 1 and b = 1. Next, in step S20, xbase is calculated by the above equation (14), and then in step S21, the drawing start point is set to (xbase,
Recognize as 0). Then, the process proceeds to step S22, and x _Yof is calculated by the above equation (12). Further, the process proceeds to step S23, and y _Yof is calculated by the equation (13). Further, in step S24, ybase is calculated using equation (15).

Then, in step S25, x _Yof is x
calculates x coordinate by adding the base, ybase the y _YOF
The y coordinate is calculated by adding. Then, in step S26, the line up to (x, y) is drawn.
Next, in step S27, it is determined whether b = YL. In the first control cycle, since b = 1 is set in step S19, the NO route is taken to step S19.
Proceed to 28. Then, the value of b is incremented,
Steps S22 to S25 are repeatedly executed until b = YL.

When b = YL, it is judged that the drawing of the graph showing the relationship between Y and Z in Xmap (a) is completed. Next, it is determined whether the work for all Xmaps has been completed. That is, in step S29, it is determined whether or not a = XL, and if the value of a has not reached XL, the process proceeds to step S30, the value of a is incremented, and a = XL.
The processing of steps S19 to S29 is carried out until

When a = XL, all Xmaps
That is, it is determined that the drawing of the YZ graph for [Xmap (1) to Xmap (XL)] is completed. As a result, both the graph creation from the XZ plane side as the first reference surface and the graph creation from the YZ plane side as the second reference surface are completed. Thereby, the three-dimensional map can be processed in the two-dimensional space, and the pseudo three-dimensional graph as shown in FIGS. 3 and 4 can be created.

As described above, in the pseudo three-dimensional graph display method and the pseudo three-dimensional graph display device of the present invention, two-dimensional coordinates can be calculated by simple arithmetic operations without using trigonometric functions. There is an advantage that the calculation software can be simplified and a three-dimensional graph (pseudo three-dimensional graph) can be created at high speed. Also,
Since the number of calculations performed to obtain one coordinate is smaller than in the conventional case, there is an advantage that the three-dimensional graph can be drawn at a higher speed than in the conventional case.

Furthermore, since it is possible to draw a pseudo three-dimensional graph at high speed simply by changing the control logic without using new parts or the like, there is also an advantage that the cost does not increase. In the control flowchart of the above-described embodiment, step S18 and the subsequent steps may be omitted and the following procedure may be added instead. That is, after creating the graph of the XZ plane shown in FIG. 9 and the plane parallel to it in steps S1 to S17, the procedure of connecting the first drawn points in each Ymap sequentially with line segments To add. Further, next, the procedure of connecting the second drawn points on each Ymap sequentially with a line segment, the procedure of connecting the third drawn points on each Ymap with a sequential line segment, and so on. Similarly, a procedure of connecting the last drawn points in each Ymap with a line segment is added.

By adding such a procedure, the adjacent coordinates in the same Xmap are connected by a line segment, and the graphs shown in FIGS. 3 and 4 can be created. is there. As a result, the calculation after step S18 becomes unnecessary, and the pseudo three-dimensional graph can be drawn at higher speed.

Next, a modification of the present invention will be described.
This modified example is a pseudo three-dimensional graph creating method when the three-dimensional frame graphic is set in a perspective view as shown in FIG. 16, and the basic configuration is the same as that of the above-described embodiment. That is, as shown in FIG. 15, even if the perspective direction of the three-dimensional frame figure is changed, basically, a graph is created for a plurality of planes parallel to the reference plane, and these plural planes are created. The graph is displayed with a slight shift.

Now, in this modification, the operation in the case of setting a solid frame figure having a size as shown in FIG. 16 will be described with reference to FIGS.
This will be described with reference to the flowchart of FIG. First, in steps SA1 to SA4, the same processing as that of the above-described embodiment is performed, and the description thereof is omitted here. Next, in step SA5, the following formula (16)
Then, the shift amount X _Y (see FIG. 17) in the x direction due to Ymap (b) is calculated.

[0073]

(Equation 15)

In step SA6, the following equation (17)
Then, the shift amount Y _Y in the y direction by Ymap (b) is calculated.

[0075]

(Equation 16)

Then, in step SA7,
Recognize (X _Y , Y _Y ) as the drawing start point. Next, in step SA8, x by Xmap (a) is calculated by the following equation (18).
The deviation amount X _{X in the} direction is calculated.

[0077]

[Equation 17]

In step SA9, the following equation (19)
Then, the shift amount Y _X in the y direction due to Xmap (a) is calculated.

[0079]

(Equation 18)

Next, in step SA10, the shift amount Ydt of Y due to the Z value is calculated by the following equation (20).

[0081]

[Equation 19]

Then, in step SA11, the following equation (2
From 1) and (22), the coordinates (x_P, Y
_P) Is calculated. x_P= X_Y-X_X (21) y_P= Y_X+ Y_Y+ Ydt (22) Then, in step SA12, (X_Y, Y_Y)When
(X_P, Y_P) And a line segment. In addition, the second or later system
In your cycle, this time (x_P, Y_P) And the previous (x _P, Y
_P) With a line segment.

Next, in step SA13, it is determined whether or not a = XL. When it is determined in step SA13 that a is not XL, the process proceeds to step SA14, a is incremented, and the process returns to step SA8. And a =
The processing from step SA8 to step SA13 is repeated until XL, and when a = XL, X and Z in Ymap (b)
When the graph showing the relationship with is completed, step SA1
It progresses from 3 to step SA15.

At step SA15, it is determined whether or not b = YL. When it is determined in step SA15 that b is not YL, the process proceeds to step SA16, b is incremented, and the process returns to step SA4. Then, this time, steps SA4 to SA15 are performed until b = YL.
Is repeated. Here, when b = YL, each Ymap
For each of the above, the creation of the graph showing the relationship between X and Z is completed, and the process proceeds from step SA15 to step SA17 to draw the remaining lines of the solid frame graphic.

Such steps SA1 to SA
By performing the processes up to 17, it is possible to draw a graph on the first reference plane of the three-dimensional frame figure in FIG. 16 and the plane parallel thereto. Next, the following step S
After A18, the graph is drawn on the second reference plane and the plane parallel thereto.

First, step SA18 and step SA
At 19, a = 1 and b = 1 are set. Next, in step SA20, Xmap (a) is calculated by the above equation (18).
The shift amount X _X in the x direction due to is calculated. Further, in step SA21, the shift amount Y _X in the y direction by Xmap (a) is calculated by the above equation (19). In step _{SA22, (- X X, Y} X) recognizes as the starting point of the drawing.

Next, in step SA23, the shift amount X _Y in the x direction by Ymap (b) is calculated by the above equation (17). Further, in step SA24, the shift amount Y _Y in the y direction based on Ymap (b) is calculated by the above equation (17). Further, in step SA25, the above equation (2
The shift amount Ydt in the y direction due to the Z value is calculated from 0).

Thereafter, in step SA26, the coordinates (x _P , y _P ) in the two-dimensional space are calculated by the above equations (21) and (22), and in step SA27, the coordinates (x _P , y) are calculated. The line up to _P ) is drawn. And
In step SA28, it is determined whether b = YL. When it is determined in step SA28 that b is not YL, the process proceeds to step SA29, in which b is incremented and step S
Return to A23.

Then, step SA2 is performed until b = YL.
The process from 3 to step SA28 is repeated, and when b = YL, the graph showing the relationship between Y and Z in Xmap (a) is completed, and the process proceeds from step SA28 to step SA30. In step SA30, it is determined whether or not a = XL.
When it is determined in step SA30 that a is not XL, the process proceeds to step SA31, a is incremented, and the process returns to step SA19.

Then, the processing of steps SA19 to SA30 is repeated until a = XL, and a =
When it comes to XL, the creation of the graph showing the relationship between Y and Z for each Xmap ends, and the creation of the pseudo three-dimensional graph ends. Then, in this modification, the same effect as that of the above-described embodiment can be obtained. That is, since the two-dimensional coordinates can be calculated only by simple four arithmetic operations without using trigonometric functions, the calculation software can be simplified and the three-dimensional graph (pseudo three-dimensional graph) can be processed at high speed. It has the advantage that it can be created with.

Further, since the number of calculations for obtaining one coordinate is smaller than in the conventional case, there is an advantage that the three-dimensional graph can be drawn at a higher speed than in the conventional case. Furthermore, since it is possible to draw a pseudo three-dimensional graph at high speed only by changing the control logic without using new parts, there is also an advantage that the cost does not increase.

Further, in the present invention, like this modification,
By changing only a part of the control software, the perspective direction of the three-dimensional frame figure can be changed, and thus the three-dimensional graph can be created in a perspective direction different from that of the above-described embodiment. Therefore, there is also an advantage that a graph viewed from a direction in which the tendency and characteristics of the control map are well expressed can be easily created.

By the way, in the control flowchart of the above-described modification, step SA18 and the subsequent steps may be omitted and the following procedure may be added instead. That is, in steps SA1 to SA17, after the graphs of the XZ plane (first reference plane) shown in FIGS. 16 and 17 and the plane parallel thereto are created, the points drawn first in each Ymap Add a procedure to connect each with a line segment. Further, next, the procedure of connecting the second drawn points on each Ymap sequentially with a line segment, the procedure of connecting the third drawn points on each Ymap with a sequential line segment, and so on. Similarly, a procedure of connecting the last drawn points in each Ymap with a line segment is added.

By adding such a procedure, the adjacent coordinates in the same Xmap are connected by a line segment, and the graphs shown in FIGS. 3 and 4 can be created. is there. As a result, the calculation after step SA18 becomes unnecessary, and the pseudo three-dimensional graph can be drawn at a higher speed.

The perspective directions of the three-dimensional frame figures in the above-described embodiment and its modifications are examples, and such three-dimensional frame figures and their perspective directions are not limited to those described above. . Further, the specific numerical values (mainly the size of the three-dimensional frame graphic) described above are used for convenience of explanation of the present invention, and the present invention is limited to such numerical values. Not a thing.

[0096]

As described above in detail, according to the pseudo three-dimensional graph display method of the present invention as set forth in claim 1, the two-dimensional graph showing the relationship between two variables out of three variables is displayed in the above-mentioned 3 By preparing a plurality of the remaining one of the two variables as parameters and displaying these two-dimensional graphs by shifting them little by little, a pseudo three-dimensional graph as if it was created in three dimensions is displayed in two dimensions. It can be created easily and at high speed.

According to the pseudo three-dimensional graph display method of the present invention as defined in claim 2, a two-dimensional graph showing the relationship between two variables out of three variables is displayed as the remaining one of the three variables. A plurality of two variables are prepared as parameters, and these two-dimensional graphs are displayed while being shifted little by little, and a portion of each two-dimensional graph corresponding to the same value for at least one of the two variables is indicated by a line segment. By connecting and displaying the above three variables as a pseudo three-dimensional graph, a pseudo three-dimensional graph as if created in three dimensions can be created easily and at high speed within two dimensions. Can be done.

According to the pseudo three-dimensional graph display method of the present invention as defined in claim 3, a two-dimensional graph showing the relationship between two of the three variables is created in the reference plane, and Using the remaining one of the three variables as a parameter, the two-dimensional graph is sequentially shifted from the reference plane little by little, and a plurality of the two-dimensional graphs are created. After that, at least one of the two variables is the same. By connecting the parts of each two-dimensional graph corresponding to the values with line segments,
By creating a pseudo three-dimensional graph for the above three variables and displaying the pseudo three-dimensional graph,
A pseudo three-dimensional graph as if it was created in three dimensions can be easily created in two dimensions at high speed.

According to the pseudo three-dimensional graph display method of the present invention as defined in claim 4, a three-dimensional frame figure recognized by a perspective display having the minimum value and the maximum value as vertices of three variables is assumed, The plane with the solid frame figure or a plane parallel to this plane is used as a two-dimensional graph creation reference plane, and
At least one plane parallel to the two-dimensional graph creation reference plane in the three-dimensional frame figure is defined as a two-dimensional graph creation plane, and two of the three variables are set on the two-dimensional graph creation reference plane. A two-dimensional graph representing the relationship is created, and the two-dimensional graph is created on the two-dimensional graph creation surface using the remaining one variable of the above three variables as a parameter. By connecting parts of each two-dimensional graph corresponding to the same value for at least one of the variables with a line segment, a pseudo three-dimensional graph is created for the above three variables to generate the pseudo three-dimensional graph. By displaying, it is possible to easily and quickly create a pseudo three-dimensional graph in two dimensions as if it were created in three dimensions. In addition, with such a method, since the two-dimensional coordinates can be calculated only by simple four arithmetic operations without using a trigonometric function as in the conventional art, the calculation software can be simplified. The advantage is that a pseudo three-dimensional graph can be created at high speed. Further, since the number of calculations performed to obtain one coordinate is smaller than in the conventional case, there is an advantage that the three-dimensional graph can be drawn at a higher speed than in the conventional case. Further, since the pseudo three-dimensional graph can be drawn at high speed only by changing the control logic, there is an advantage that the cost does not increase.

Further, according to the pseudo three-dimensional graph display method of the present invention as defined in claim 5, a three-dimensional frame figure recognized by a perspective display having the minimum value and the maximum value as vertices of three variables is assumed, A plane having the three-dimensional frame figure or a plane parallel to this plane is used as a first two-dimensional graph creation reference plane, and at least one plane parallel to the first two-dimensional graph creation reference plane is provided in the three-dimensional frame figure. The above plane is used as a first two-dimensional graph creation surface, and a two-dimensional graph representing the relationship between two variables among the above three variables is created on the first two-dimensional graph creation reference surface, and The two-dimensional graph is created on the first two-dimensional graph creation surface using the remaining one of the three variables as a parameter, and further, the first two-dimensional graph creation reference surface is created on the three-dimensional frame graphic. Cross with Of the two-dimensional graph creation reference plane, and at least one plane parallel to the second two-dimensional graph creation reference plane in the three-dimensional frame figure is defined as a second two-dimensional graph creation plane. The relationship between the above two variables used when the two-dimensional graph was created on the first two-dimensional graph creation reference surface and two variables different in one variable were represented on the two-dimensional graph creation reference surface By creating a two-dimensional graph and creating the two-dimensional graph on the second two-dimensional graph creation surface using the remaining one variable of the three variables as a parameter, the three variables are simulated. To create a pseudo three-dimensional graph in two dimensions as if it were created in three dimensions by creating a realistic three-dimensional graph and displaying the pseudo three-dimensional graph. Than is possible. In addition, with such a method, since the two-dimensional coordinates can be calculated only by simple four arithmetic operations without using a trigonometric function as in the conventional art, the calculation software can be simplified. The advantage is that a pseudo three-dimensional graph can be created at high speed. Further, since the number of calculations performed to obtain one coordinate is smaller than in the conventional case, there is an advantage that the three-dimensional graph can be drawn at a higher speed than in the conventional case. Further, since the pseudo three-dimensional graph can be drawn at high speed only by changing the control logic, there is an advantage that the cost does not increase.

According to the pseudo three-dimensional graph display device of the present invention as defined in claim 6, the three-dimensional frame graphic information recognized by the perspective display having the minimum value and the maximum value as the vertices is set for each of the three variables. The three-dimensional frame graphic information setting means and a plane having the three-dimensional frame figure or a plane parallel to this plane as a first reference plane, and the first reference plane and at least one plane parallel to the first reference plane. A first two-dimensional graph group creating means for creating a two-dimensional graph representing a relationship between two variables of the three variables, with the remaining one variable of the three variables as a parameter; In a three-dimensional frame figure, a plane intersecting the first reference plane is defined as a second reference plane, and the second two-dimensional plane and at least one plane parallel to the second reference plane have a first two-dimensional graph group. Create a two-dimensional graph A second two-dimensional graph that creates a two-dimensional graph showing the relationship between the two variables used when the two variables were created and one variable that is different from the other, using the remaining one of the three variables as a parameter A graph group creating means, a drawing means for drawing based on the information obtained by the solid frame graphic information setting means, the first two-dimensional graph group creating means, and the second two-dimensional graph group creating means; According to the output of the drawing means, a display means for displaying a pseudo three-dimensional graph in the three-dimensional frame figure is provided, so that a pseudo three-dimensional graph as if created in three dimensions is obtained. It can be created easily in two dimensions and at high speed. That is, according to the present apparatus, since the two-dimensional coordinates can be calculated only by simple four arithmetic operations without using a trigonometric function as in the conventional art, the calculation software can be simplified and the pseudo There is an advantage that a three-dimensional graph can be created at high speed. Further, since the number of calculations performed to obtain one coordinate is smaller than in the conventional case, there is an advantage that the three-dimensional graph can be drawn at a higher speed than in the conventional case. Furthermore, there is no need for new parts or special devices, and the pseudo three-dimensional graph can be drawn at high speed simply by changing the control logic. There is.

[Brief description of the drawings]

FIG. 1 is a schematic block diagram showing the functions of main parts in a pseudo three-dimensional graph display device as an embodiment of the present invention.

FIG. 2 is an overall view showing a system as a premise of a pseudo three-dimensional graph display device as an embodiment of the present invention.

FIG. 3 is a diagram showing an example of a pseudo three-dimensional graph created by a pseudo three-dimensional graph display method and a pseudo three-dimensional graph display device according to an embodiment of the present invention.

FIG. 4 is a diagram showing an example of a pseudo three-dimensional graph created by a pseudo three-dimensional graph display method and a pseudo three-dimensional graph display device according to an embodiment of the present invention.

FIG. 5 is a diagram showing an example of control data in the pseudo three-dimensional graph display method and the pseudo three-dimensional graph display device according to the embodiment of the present invention.

FIG. 6 is a diagram for explaining a pseudo three-dimensional graph display method as an embodiment of the present invention.

FIG. 7 is a diagram for explaining a pseudo three-dimensional graph display method as one embodiment of the present invention.

FIG. 8 is a diagram for explaining a pseudo three-dimensional graph display method as one embodiment of the present invention.

FIG. 9 is a diagram for explaining the pseudo three-dimensional graph display method according to the embodiment of the present invention, and is a diagram showing an example of a solid frame graphic thereof.

FIG. 10 is a flowchart for explaining the operation of the pseudo three-dimensional graph display method and the pseudo three-dimensional graph display device as one embodiment of the present invention.

FIG. 11 is a flowchart for explaining the operation of the pseudo three-dimensional graph display method and the pseudo three-dimensional graph display device according to the embodiment of the present invention.

FIG. 12 is a flowchart for explaining the operation of the pseudo three-dimensional graph display method and the pseudo three-dimensional graph display device according to the embodiment of the present invention.

FIG. 13 is a diagram for explaining a pseudo three-dimensional graph display method as an embodiment of the present invention.

FIG. 14 is a diagram for explaining a pseudo three-dimensional graph display method as an embodiment of the present invention.

FIG. 15 is a pseudo 3 as a modified example of the embodiment of the present invention.
It is a figure for explaining a dimensional graph display method.

FIG. 16 is a pseudo 3 as a modification of the embodiment of the present invention.
It is a figure for explaining a dimensional graph display method, and is a figure showing an example of the solid frame figure.

FIG. 17 is a pseudo 3 as a modified example of the embodiment of the present invention.
It is a figure for explaining a dimensional graph display method.

FIG. 18 is a pseudo 3 as a modified example of the embodiment of the present invention.
6 is a flowchart for explaining the operation of the three-dimensional graph display method and the pseudo three-dimensional graph display device.

FIG. 19 is a pseudo 3 as a modification of the embodiment of the present invention.
6 is a flowchart for explaining the operation of the three-dimensional graph display method and the pseudo three-dimensional graph display device.

FIG. 20 is a pseudo 3 as a modified example of the embodiment of the present invention.
6 is a flowchart for explaining the operation of the three-dimensional graph display method and the pseudo three-dimensional graph display device.

FIG. 21 is a diagram for explaining a conventional method for creating a three-dimensional graph.

FIG. 22 is a diagram for explaining a conventional method for creating a three-dimensional graph.

FIG. 23 is a diagram for explaining a conventional method for creating a three-dimensional graph.

FIG. 24 is a diagram for explaining a conventional method for creating a three-dimensional graph.

FIG. 25 is a diagram for explaining a conventional method of creating a three-dimensional graph.

[Explanation of symbols]

 1 ROM (Read-Only Memory) 2 ROM Writer 3 Computer 4 Printer 5 CPU (Central Processing Unit) 6 Solid Frame Graphic Information Setting Means 7 First 2D Graph Group Creating Means 8 Second 2D Graph Group Creating Means 9 Drawing Means 10 Display Means (Display) 11 Scale Setting Means

Claims (6)

[Claims] 1. A plurality of two-dimensional graphs representing the relationship between two variables out of three variables are prepared with the remaining one variable out of the three variables as a parameter, and these two-dimensional graphs are shifted little by little. It is characterized by displaying as
Pseudo three-dimensional graph display method. 2. A plurality of two-dimensional graphs showing the relationship between two variables out of three variables are prepared by using the remaining one variable out of the above three variables as parameters, and these two-dimensional graphs are shifted little by little. Is displayed and the portions of each two-dimensional graph corresponding to the same value for at least one of the two variables are connected by a line segment, so that the above three variables are pseudo-three-dimensionally graphed. A pseudo three-dimensional graph display method characterized by displaying. 3. A two-dimensional graph showing a relationship between two variables out of three variables is created in a reference plane, and the remaining one variable among the three variables is used as a parameter. Are sequentially shifted from the reference plane little by little, and a plurality of them are created. After that, by connecting a part of each two-dimensional graph corresponding to the same value for at least one of the two variables with a line segment, A method for displaying a pseudo three-dimensional graph, characterized by creating a pseudo three-dimensional graph for the above three variables and displaying the pseudo three-dimensional graph. 4. Assuming a solid frame figure recognized in perspective display with the minimum value and the maximum value as vertices for each of the three variables, a plane on which the solid frame figure is present or a plane parallel to this plane is a two-dimensional graph. At least one plane parallel to the two-dimensional graph creation reference plane in the three-dimensional frame figure is defined as a two-dimensional graph creation surface, and the three variables are added to the two-dimensional graph creation reference surface. A two-dimensional graph representing the relationship between two variables of the two variables, and using the remaining one variable of the three variables as a parameter, creating the two-dimensional graph on the two-dimensional graph creation surface, Is a pseudo three-dimensional graph for the above three variables, by connecting the portions of each two-dimensional graph corresponding to the same value for at least one of the two variables with a line segment. And displaying the pseudo three-dimensional graph. 5. A three-dimensional frame figure recognized by a perspective display having minimum and maximum values for three variables as vertices is assumed, and a plane on which the three-dimensional frame figure is present or a plane parallel to this plane is defined as a first plane. The two-dimensional graph creation reference plane is used, and at least one plane parallel to the first two-dimensional graph creation reference plane is defined as the first two-dimensional graph creation surface in the three-dimensional frame graphic. A two-dimensional graph showing a relationship between two variables among the above three variables is created on a reference plane for creating a two-dimensional graph, and the remaining one variable among the above three variables is used as a parameter. On the first two-dimensional graph creation surface, further defining a second two-dimensional graph creation reference surface that intersects the first two-dimensional graph creation reference surface in the three-dimensional frame figure, and In solid frame figure 2 of Oite second
At least one plane parallel to the dimensional graph creation reference plane is defined as a second two-dimensional graph creation reference surface, and the second two-dimensional graph creation reference surface is provided with 2 on the first two-dimensional graph creation reference surface. In addition to creating a two-dimensional graph showing the relationship between the two variables used when creating the two-dimensional graph and two variables in which one variable is different,
By creating the two-dimensional graph on the second two-dimensional graph creation surface using the remaining one of the two variables as parameters, a pseudo three-dimensional graph is created for the above three variables. A method for displaying a pseudo three-dimensional graph, characterized by displaying a pseudo three-dimensional graph. 6. A three-dimensional frame graphic information setting means for setting three-dimensional frame graphic information recognized in a perspective display with minimum and maximum values of three variables as vertices, and a surface on which the three-dimensional frame graphic is present or this surface. The plane parallel to
As a reference plane, a two-dimensional graph showing the relationship of two variables among the above three variables on the first reference plane and at least one plane parallel to the first reference plane,
With the remaining one of the two variables as a parameter,
First two-dimensional graph group creating means for creating, and in the three-dimensional frame figure, a plane intersecting the first reference plane is defined as a second reference plane and is parallel to the second reference plane and the second reference plane. A two-dimensional graph representing the relationship between the two variables used when the two-dimensional graph is created by the first two-dimensional graph group creating means and the two variables different in one variable on at least one or more planes, Second two-dimensional graph group creating means to create using the remaining one of the three variables as a parameter, the three-dimensional frame graphic information setting means, the first two-dimensional graph group creating means, and the second two A drawing means for drawing based on the information obtained by the three-dimensional graph group creating means, and a display means for displaying a pseudo three-dimensional graph in the three-dimensional frame graphic according to the output of the drawing means are provided. Characterized by being configured Pseudo 3-dimensional graph display device.