CN108981589B - Device and method for measuring cup rim height - Google Patents
Device and method for measuring cup rim height Download PDFInfo
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- CN108981589B CN108981589B CN201810572975.XA CN201810572975A CN108981589B CN 108981589 B CN108981589 B CN 108981589B CN 201810572975 A CN201810572975 A CN 201810572975A CN 108981589 B CN108981589 B CN 108981589B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B11/00—Measuring arrangements characterised by the use of optical techniques
- G01B11/02—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness
- G01B11/06—Measuring arrangements characterised by the use of optical techniques for measuring length, width or thickness for measuring thickness ; e.g. of sheet material
- G01B11/0608—Height gauges
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Abstract
The invention discloses a device and a method for measuring the height of a cup rim, which can improve the measurement precision of the height of the cup rim of a cup to be measured on the premise of not increasing the complexity of a measurement array circuit. The device comprises a base station, a transmitting flat plate, a linear laser array, a photoresistance sensor array and a receiving flat plate; the transmitting flat plate and the receiving flat plate are respectively and fixedly connected to the base station, the transmitting flat plate is opposite to the receiving flat plate, and a contact line between the receiving flat plate and the base station is parallel to the transmitting flat plate; the emission flat plate is vertical to the base station; the receiving flat plate is obliquely arranged, and the included angle between the receiving flat plate and a line vertical to the base station is beta; the linear laser array is fixedly connected with the transmitting flat plate, and the photoresistance sensor array is fixedly connected with the receiving flat plate; the straight line of each row in the photoresistor sensing array and the straight line parallel to the emission flat plate and the base station form an angle theta; the intersection line of the laser linear array transmitted by the linear laser array and the receiving flat plate and a straight line parallel to the transmitting flat plate and the base station form an angle theta.
Description
Technical Field
The invention belongs to the technical field of sensors, and particularly relates to a device and a method for measuring the height of a cup opening.
Background
The photoresistance sensor array comprises M rows of photoresistance units with the same specification and N columns of photoresistance units with the same specification. The coverage area of each photoresistor unit is not more than dxd. When the array receives a laser signal transmitted by the linear array of the linear laser, the resistance value of the photoresistor unit at the corresponding position is changed. The characteristic is widely applied to occasions such as laser sensing, photoelectric automatic control, photoelectric automatic detection and the like.
In the cup rim height measuring method, a photoresistor sensor array is applied to automatic detection of laser signals emitted by a linear laser array. Taking a water dispenser as an example, the existing water receiving device cannot directly judge whether the water cup is full of water, and needs human participation, otherwise, the water cup overflows due to excessive water receiving. In order to enable the water receiving device to automatically monitor whether the cup is filled with water or not and to complete intelligent turn-off before the water in the cup overflows, the water receiving device is required to accurately calculate the volume of the cup, so that higher requirements are provided for the measurement accuracy of the height of the cup opening of the cup to be measured. In the measuring scheme, the key factor influencing the measuring accuracy of the cup rim height of the water cup to be measured is the resolution of the photoresistance sensor array, but in order to increase the resolution of the photoresistance sensor array, the number of the photoresistance units in a unit area needs to be increased, and the scale of the sensor array needs to be increased. As is well known, when the scale of the sensor array is increased, information acquisition and signal processing of all components become difficult, the scanning speed is slow, the period is long, and the efficiency is low. Therefore, on the premise of maintaining the original circuit complexity unchanged, the problem that how to realize high-precision measurement of the cup rim height of the water cup to be measured is solved.
Disclosure of Invention
The invention aims to solve the technical problem of overcoming the defects in the prior art, and provides a device and a method for measuring the height of a cup opening, which can improve the measurement precision of the height of the cup opening of a water cup to be measured on the premise of not increasing the complexity of a measurement array circuit.
In order to solve the technical problem, the embodiment of the invention adopts the following technical scheme:
on one hand, the embodiment of the invention provides a device for measuring the height of a cup opening, which comprises a base station, an emission flat plate, a linear laser array, a photoresistance sensor array and a receiving flat plate, wherein the emission flat plate is arranged on the base station; the transmitting flat plate and the receiving flat plate are respectively and fixedly connected to the base station, the transmitting flat plate is opposite to the receiving flat plate, and a contact line between the receiving flat plate and the base station is parallel to the transmitting flat plate; the emission flat plate is vertical to the base station; the receiving flat plate is obliquely arranged, the included angle between the receiving flat plate and a line vertical to the base station is beta, and the value range of the beta is-90 degrees and beta is less than 90 degrees; the linear laser array is fixedly connected with the transmitting flat plate, and the photoresistance sensor array is fixedly connected with the receiving flat plate; the straight line of each row in the photoresistor sensing array and the straight line parallel to the emission flat plate and the base station form an angle theta; the intersection line of the laser linear array and the receiving flat plate transmitted by the linear laser linear array forms an angle theta with a straight line which is parallel to the transmitting flat plate and the base station at the same time, and the value range of the theta is-90 degrees < theta <90 degrees.
As a preferred example, the linear laser array is composed of M linear lasers vertically arranged at equal intervals, where M is an integer greater than 1; the sector laser plane emitted by the linear laser array is vertical to the plane of the emitting flat plate.
As a preferred example, the photoresistor sensor array is composed of M rows and N columns of photoresistor units; m is an integer greater than 1; n is an integer greater than 1; the coverage area of each photoresistor unit is not more than dxd; where d represents the maximum diameter of the photoresistor unit.
The embodiment of the invention also provides a method for measuring the height of the cup mouth, which comprises the following steps:
step 10), installing a measuring device: respectively and fixedly connecting the transmitting flat plate and the receiving flat plate on the base station, wherein a contact line between the receiving flat plate and the base station is parallel to the transmitting flat plate; the emission flat plate is vertical to the base station; the receiving flat plate is obliquely arranged, and the included angle between the receiving flat plate and a line vertical to the base station is beta; fixedly connecting a linear laser array to a transmitting flat plate, and fixedly connecting a photoresistance sensor array to a receiving flat plate; the straight line of each row in the photoresistor sensing array and the straight line parallel to the emission flat plate and the base station form an angle theta, and the angle theta is tan-1(1/N) or-tan-1(1/N); the linear laser array emitted by the linear laser array forms an angle theta with a straight line which is parallel to the emitting flat plate and the base station at the same time; the vertical distance between the linear lasers in the linear laser array is dcos beta cos theta;
step 20) after the measuring device is powered on, parallel laser emitted by the linear laser array covers the photoresistor sensor array; the method comprises the following steps that a water cup to be measured is placed on a base station and is positioned in a light path between a linear laser array and a photoresistor sensor array, laser light is shielded after encountering the water cup to be measured, and the photoresistor units which are mapped to the shielded positions in the photoresistor sensor array cannot receive the laser light and are converted into changes of electrical quantities;
step 30) according to the change of the electrical quantity, forming a new photoresistor array by the photoresistor units which cannot receive the laser light in the photoresistor array; suppose a new line 1 to m in the photo-resistor array1All the row photoresistor units do not receive illumination, and the 1 st to the m th are recorded1The action does not receive the whole row of illumination, then the m < th > row1The +1 row is a boundary row in which the lighting is partially received; setting the height H of the cup opening of the cup to be detected; height H of water cup in measuring range1Measuring the height H of the cup outside the measuring range2;
Height H of cup rim: h ═ H1+H2
in the above formulae, -90 °<β<90°,-90°<θ<90°,Orn is in m1And the nth photoresistor unit is shielded by the center point of the nth photoresistor unit from bottom to top in the +1 row.
Compared with the prior art, the embodiment of the invention has the following beneficial effects:
(1) the embodiment of the invention firstly adopts an in-plane tilt measuring method, and when the in-plane tilt angle is theta, the measurement resolution is optimized from d toResolution ratio is enlargedAnd (4) doubling.
(2) The embodiment of the invention adopts an off-plane inclination method, and when the off-plane inclination angle is beta, the measurement resolution is improved from d to dcos beta.
(3) The invention adopts a measuring method of out-of-plane tilt under the in-plane tilt measuring method, the resolution ratio is further improved, and the measuring method improves the measuring resolution ratio from the original d to the original dcos theta cos beta, improved resolutionAnd (4) doubling.
(4) The invention uses the low-price linear laser to replace the high-price parallel light source, thereby greatly reducing the cost of the whole system.
(5) The measuring system provided by the invention not only can be used for measuring the height of the cup opening in automatic water receiving equipment, but also can be used for measuring other objects with flat upper and lower bottom surfaces and parallel to the base platform.
(6) The measuring method of the embodiment of the invention is based on a non-contact measuring mode, the measuring mode does not need to be in contact with the rim of the cup to be measured, the cleanness of the cup to be measured can be ensured, the rim of the cup to be measured can be measured remotely and nondestructively, and pollutants cannot be introduced into the cup to be measured in the measuring process.
(7) Compared with the image processing mode, the measuring method provided by the embodiment of the invention does not depend on the installation position of the camera, is insensitive to the placement position of the water cup to be measured in a certain moving space, and is simple, direct and rapid in calculation.
Drawings
FIG. 1 is a schematic structural diagram of a measuring device according to an embodiment of the present invention;
FIG. 2 is a schematic diagram of the linear array operating principle of the linear laser in the embodiment of the present invention;
FIG. 3 is a schematic diagram of the operation of an M × N two-dimensional photoresistor sensor array in an embodiment of the present invention;
FIG. 4(a) is a left side view of a general cup rim height measuring method;
FIG. 4(b) is a front view of a general cup rim height measurement method;
FIG. 5(a) is a left side view of an in-plane tilting method of an embodiment of the present invention;
FIG. 5(b) is a front view of an in-plane tilting method of an embodiment of the present invention;
FIG. 6 is a schematic diagram illustrating an equivalent operation process of the in-plane tilt method according to an embodiment of the present invention;
FIG. 7 is a schematic structural diagram of a photo-resistor unit without complete shading in an in-plane oblique boundary row according to an embodiment of the present invention;
FIG. 8 is a diagram illustrating the critical condition of the in-plane tilt rotation angle θ in the embodiment of the present invention.
FIG. 9 is a schematic view of an off-plane tilt measurement in accordance with an embodiment of the present invention;
FIG. 10 is a schematic diagram of derivation of the off-plane tilt in an embodiment of the present invention.
The figure shows that: the device comprises a base station 1, a transmitting flat plate 2, a linear laser array 3, a water cup 4 to be detected, a photosensitive resistance sensor array 5 and a receiving flat plate 6.
Detailed Description
The technical scheme of the invention is explained in detail in the following with the accompanying drawings.
The device for measuring the cup rim height comprises a base station 1, an emission flat plate 2, a linear laser array 3, a photoresistance sensor array 5 and a receiving flat plate 6. The transmitting flat plate 2 and the receiving flat plate 6 are respectively fixedly connected on the base station 1, the transmitting flat plate 2 is opposite to the receiving flat plate 6, and a contact line between the receiving flat plate 6 and the base station 1 is parallel to the transmitting flat plate 2. The emission plate 2 is perpendicular to the base 1. The receiving flat plate 6 is obliquely arranged, and the included angle between the receiving flat plate 6 and the line vertical to the base 1 is beta. Beta value range of-90 °<β<At 90 deg.. The linear laser array 3 is fixedly connected with the transmitting flat plate 2, and the photoresistorThe sensor array 5 and the receiving plate 6 are fixedly connected. The line of each row in the photoresistor sensing array 5 forms an angle theta with a line parallel to both the emission plate 2 and the base 1. The intersection line of the laser linear array emitted by the linear laser array 3 and the receiving flat plate 6 forms an angle theta with a straight line which is parallel to the emitting flat plate 2 and the base station 1 simultaneously. Theta is in the range of-90 DEG<θ<At 90 deg.. Preferably, theOr
In the above embodiment, the in-line laser bar 3 is emitted toward the photo-resistive sensor array 5. The linear laser emitted by the linear laser array 3 just hits the centers of the photoresistor units of each row of the photoresistor sensor array 5. The cup mouth and the cup bottom of the cup 4 to be measured are respectively parallel to the base station 1. When the measuring device of the embodiment works, the cup 4 to be measured is placed on the base platform 1, and the cup 4 to be measured is positioned between the emission flat plate 2 and the receiving flat plate 6. The linear laser array 3 emits laser after being electrified. Part of the laser is shielded by the cup 4 to be measured and cannot irradiate the photoresistor sensor array 5. With the photo-resistor sensor array 5, part of the photo-resistor units is completely irradiated with the laser light, part of the photo-resistor units is not irradiated with the laser light at all, and part of the photo-resistor units is partially irradiated with the laser light.
In the above embodiment, the linear laser array 3 is composed of M linear lasers vertically arranged at equal intervals, where M is an integer greater than 1. The plane of the fan-shaped laser emitted by the linear laser array 3 is perpendicular to the plane of the emitting flat plate 2.
The photoresistor sensor array 5 consists of M rows of photoresistor units and N columns of photoresistor units; m is an integer greater than 1; n is an integer greater than 1. The coverage area of each photoresistor unit is not more than dxd; where d represents the maximum diameter of the photoresistor unit.
In order to improve the measurement accuracy, it is preferable that the plane of the receiving plate 6 together with the array of photoresistor sensors 5 is at an angle β to the plane of the emitting plate 2.
Further preferably, the distance between the linear lasers in the linear laser array 3 and a line perpendicular to the base 1 is adjusted to dcos β cos θ, the photoresistor sensor array 5 is rotated clockwise or counterclockwise by θ degrees with a straight line parallel to the base 1 as an axis, and the value range of θ is-90 degrees<θ<At 90 deg.. It is even more preferable that the content of the organic solvent, or
The measuring device of the embodiment is used for measuring the height of the cup mouth, and the method comprises the following steps:
step 10), installing a measuring device: the transmitting flat plate 2 and the receiving flat plate 6 are respectively and fixedly connected to the base station 1, and a contact line between the receiving flat plate 6 and the base station 1 is parallel to the transmitting flat plate 2; the emission flat plate 2 is vertical to the base station 1; the receiving flat plate 6 is obliquely arranged, and the included angle between the receiving flat plate 6 and a line vertical to the base station 1 is beta; fixedly connecting a linear laser linear array 3 to the transmitting flat plate 2, wherein the distance between linear lasers in the linear laser linear array 3 is d;
the photoresistor sensor array 5 is fixedly connected to the receiving flat plate 6; the straight line of each row in the photoresistor sensing array 5 and the straight line parallel to the emission flat plate 2 and the base platform 1 form an angle theta; the linear laser array 3 emits laser linear arrays which form an angle theta with a straight line which is parallel to the emitting flat plate 2 and the base station 1; the vertical distance between the linear lasers in the linear laser linear array 3 is dcos beta cos theta; the photoresistance sensor array 5 comprises M rows of photoresistance units and N columns of photoresistance units;
step 20), after the measuring device is powered on, parallel laser emitted by the linear laser array 3 covers the photoresistor sensor array 5; the water cup 4 to be measured is placed on the base station 1 and is positioned in a light path between the linear laser array 3 and the photoresistance sensor array 5, laser light is shielded after encountering the water cup 4 to be measured, and the photoresistance units which are mapped to the shielded position in the photoresistance sensor array 5 cannot receive the laser light and are converted into the change of electrical quantity;
step 30) according to the change of the electrical quantity, forming a new photoresistor array by the photoresistor units which cannot receive the laser light in the photoresistor array 5; suppose a new line 1 to m in the photo-resistor array1All the row photoresistor units do not receive illumination, and the 1 st to the m th are recorded1The action does not receive the whole row of illumination, then the m < th > row1The +1 row is a boundary row in which the lighting is partially received; setting the height H of the cup mouth of the cup 4 to be measured; height H of water cup in measuring range1Measuring the height H of the cup outside the measuring range2。
Height H of cup rim: h ═ H1+H2
in the above formulae, -90 °<β<90°,-90°<θ<90 DEG, n is in m1And the nth photoresistor unit is shielded by the center point of the nth photoresistor unit from bottom to top in the +1 row.
In the method, the highest height of the photoresistor unit completely shielded by the water cup 4 to be detected is set as H0The lowest height of the photoresistor unit which is not completely shielded by the water cup 4 to be detected is H3Considering the condition of in-plane inclination, the height H of the cup in the measuring range1And H0、H3The relationship between is
H0≤H1<H3
Height H in measuring range1Comprises the following steps:
n is in m1And the nth photoresistor unit is shielded by the center point of the nth photoresistor unit from bottom to top in the +1 row.
m1Indicating that no count of a complete row of illumination has been received, i.e. m1A complete row of row photoresistor cells that do not receive illumination; n denotes the number of columns of the photo-resistive sensor array 5 and d denotes the maximum diameter of the photo-resistive cells.
The in-plane tilt means: the photoresistor sensing array 5 and the in-line laser linear array 3 are simultaneously rotated clockwise or anticlockwise by an angle theta with a straight line parallel to the base station 1 as an axis, and the process is called in-plane tilting.
Then, the case of off-plane tilt is considered under the condition of in-plane tilt. H' represents the actual height of the cup 4 to be measured in the measuring range; h0'represents the highest height of the photoresistor unit completely shielded by the cup 4 to be tested, and the lowest height of the photoresistor unit not completely shielded by the cup 6 to be tested is H'1。
H′0≤H′<H′1
The height H' in the measuring range is as follows:
wherein the content of the first and second substances,n is in m1And the n-th photoresistor unit which is shaded by the center point of the n-th photoresistor unit from bottom to top in the +1 row is provided with an off-plane rotation angle beta.
The out-of-plane tilt means: the pitch of the linear laser array 3 is adjusted to dcos β so that the plane of the receiving plate 6 together with the photo-resistor array 5 is at an angle β to the plane of the transmitting plate 2, which process is called out of plane tilting.
As shown in fig. 1, the linear laser array 3 is located on the left side of the cup 4 to be measured, and the photoresistor sensor array 5 is located on the right side of the cup 4 to be measured. The linear laser array 3 is electrified to emit laser, and the laser is emitted to the photoresistor sensor array 5. Because the cup 4 to be measured is placed in the laser light path, part of laser light cannot be emitted to the receiving panel due to the shielding of the cup 4 to be measured. The angle formed by the straight line of the linear laser array 3 and the straight line of the photoresistor units of each row of the photoresistor array 5 and the straight line vertical to the base station is equal to theta. The receiving plate 6 together with the photo resistor array 5 is in a plane at an angle beta to the plane of the emitting plate 2.
Fig. 2 is a schematic diagram of the working principle of the linear laser array 3. As shown in fig. 2, the linear laser array 3 is composed of a plurality of lasers arranged in parallel at equal intervals. In the linear array, each laser is fixed on a transmitting flat plate P and emits a laser beam plane Q parallel to a horizontal plane, and the field angle is alpha. The beam surface is in the shape of an isosceles triangle, the upper vertex of the beam surface is the emitting point of the in-line laser, and the bottom side of the beam surface irradiates on a receiving flat plate R vertical to the horizontal plane. In the technical scheme of the invention, when a water cup to be measured is not placed, laser emitted by the linear laser array 3 can completely cover the photoresistance sensor array 5.
Fig. 3 is a schematic diagram of the working principle of the photo-resistive sensor array 5. As shown in fig. 3, the photo-resistive sensor array 5 includes M rows and N columns of photo-resistive units with the same specification. The coverage area of each photoresistor unit is not more than dxd. When the laser emitted by the linear laser array 3 irradiates the photoresistor sensor array 5, the resistance value of the photoresistor unit at the position irradiated by the laser changes. In fig. 3, the photo-resistor cells irradiated with laser light are white, and the photo-resistor cells not irradiated with laser light are black.
Fig. 4(a) and 4(b) are schematic diagrams showing a general measurement of the height of the cup mouth. As shown in fig. 4(a), when viewed from the left, the laser emitting panel 2 of the linear laser array 3 and the laser receiving panel 6 of the photo-resistor sensor array 5 are parallel to each other, the cup 4 to be measured is placed in the light path between the two, the direction of emitted laser light is from left to right, the laser beam is shielded after irradiating the cup 4 to be measured, and the photo-resistor units at the corresponding positions in the photo-resistor array 5 cannot receive the laser light; fromIn the front view, the laser emission direction irradiates on the cup 4 to be measured and the photoresistor sensor array 5 from outside to inside, and m in the photoresistor array 5 on the receiving plate 6 can be observed0The line photoresistor unit cannot receive the laser signal because of the shielding of the water cup 4 to be detected. In this measurement method, the photo-resistance sensor array 5 is not rotated, and each column is kept parallel to the base.
The general measurement method comprises the following steps:
step 10), installing a measuring device: fixing a linear laser array 3 on the transmitting flat plate 2, wherein the laser transmitting direction of the linear laser array 3 is mutually vertical to the axis of the water cup 4 to be detected; the photo-resistive sensor array 5 is fixed on the receiving plate 6 without rotation of the photo-resistive sensor array 5, and each row of the photo-resistive sensor array 5 is kept parallel to the base 1. The photoresistance sensor array 5 comprises M rows of photoresistance units and N columns of photoresistance units; setting the area of a photoresistor unit as dxd, the number of rows as M and the number of columns as N;
step 20), after the measuring device is powered on, parallel laser emitted by the linear laser array 3 covers the photoresistor sensor array 5; the water cup 4 to be detected is placed on the base station 1 and is positioned in a light path between the linear laser array 3 and the photoresistance sensor array 5, laser light is shielded after encountering the water cup 4 to be detected, the laser light is mapped to the photoresistance sensor array 5, namely the photoresistance unit at the shielded position cannot receive the laser light and is converted into the change of electrical quantity;
step 30) according to the change of the electrical quantity, combining the photosensitive resistor units (namely, represented by black circles) which cannot receive the laser light in the photosensitive resistor array into a new photosensitive resistor array in the step (b) of fig. 4;
step 40) assuming that the cup mouths of the cups to be tested are consistent in height in the vertical direction, namely, as shown in fig. 5(b), the new array is m0The array is regular, and the cup rim of the cup to be measured is positioned at m because all the photoresistor units of the two-dimensional photoresistor sensor array are tangent to each other0+1 line, m0The +1 row is defined as a "boundary row". Therefore, the height H and the number m of the cup rim of the cup to be measured0D is:
m0d≤H≤(m0+1)d m0=1,2,3……
according to the above formula, the height of the cup rim of the cup to be measured can be obtained
According to the formula, the common measuring method for the cup rim height has the measuring resolution d, when the cup rim height of the water cup to be measured exceeds the maximum height of the two-dimensional photoresistor sensor array, the measuring method reaches the maximum measuring range, and the measuring range of the method is Md.
Compared with the common measuring method for the cup rim height, the measuring method provided by the embodiment is used for measuring the in-plane inclination and the out-of-plane inclination on the basis of the common measuring method. Firstly, the photoresistor sensing array 5 is rotated clockwise or anticlockwise by an angle theta with a straight line parallel to the base platform 1 as an axis, and the process is called in-plane inclination. Thus, observable from the left view of fig. 5 (a): the photoresistor units in the photoresistor sensor array are overlapped; observable from the front view of fig. 5 (b): the photoresistor units in the boundary row are not uniformly covered by the laser signal. And then, the distance between the linear laser arrays 3 is adjusted to dcos beta cos theta, so that the plane where the receiving flat plate 6 and the photoresistor sensing array are located and the plane where the transmitting flat plate 2 is located form an angle beta, and the process is called out-of-plane inclination. Thus, as seen from the left side view of fig. 9, the in-line laser array 3 is spaced at dcos β, and the photoresistor receiving plate 6 is at an angle β to the transmitting plate 2. The schematic diagram of the whole measuring system is shown in figure 1. The following verifies that the measuring method improves the measuring accuracy of the cup mouth of the cup to be measured.
Fig. 6 shows a schematic diagram of an equivalent operation process using the in-plane tilt measurement method. As shown in fig. 6, m of the two-dimensional photo-resistive sensor array1The +1 behavior line partially receives the boundary line of illumination, defines the height H of the cup to be measured in the measuring range1Define the photosensitive electricity that is completely shielded by the cup to be tested (i.e. the center of the photosensitive resistance unit can not receive laser light)The highest height of the resistor unit is H0The lowest height of the photoresistor unit which is not completely shielded by the cup to be measured is H3Then H is1And H0、H3The relationship between is
H0≤H1<H3
The lowest height of the photoresistor unit which is not completely shielded by the cup to be detected is H3The distance from the photosensitive resistance unit with the lowest height which is not completely shielded by the water cup to be detected to the center of the 1 st row of photosensitive resistance units in the center of the row is l5、l5And H1Angle theta therebetween5Distance l between circle centers of two ends of bottom row of photoresistor units2、l0Is the intersection of the base and the receiving plate, /)3Is a straight line in the receiving plate and is parallel to0,θ2Is 12And l3Are included at an acute angle with respect to d
It is known that after the photoresistor sensor array is rotated clockwise by an angle θ on the receiving plate about a line parallel to the base, as shown in fig. 61Parallel to l8、l1Parallel to l3、l2Parallel to l7Is obtained by
θ=θ1=θ2Formula (15)
l1To receive a straight line in the plate, parallel to l0And l3;l8Is a straight line in the receiving plate and is parallel to0、l1And l3;l7Is the distance theta between the circle centers of two ends of the top row of the photoresistor units1Is 11And l2An acute included angle therebetween; l4Is the distance theta from the photosensitive resistance unit with the lowest height which is not completely shielded by the water cup to be measured to the circle center of the photosensitive resistance unit in the 1 st row in the vertical direction of the plane of the base platform4Is 14And l5Acute angle therebetweenAngle of inclination, theta3Is 13And l5An acute included angle therebetween;
l3and l5Angle theta therebetween3And theta2The sum is 90 DEG, |4And l5Angle theta therebetween4And theta3The sum is 90 degrees, the
θ4+θ3=θ2+θ390 degree (16)
θ=θ1=θ2=θ4Formula (17)
Likewise, according to l4Parallel to l6Is obtained by
θ=θ1=θ2=θ4=θ5Formula (18)
Combining formula (14) and formula (18) to obtain
Due to l2And l5All are line segments passing through the circle center of the photoresistor unit to obtain
H0The highest height of the photoresistor unit completely shielded by the cup to be detected is as follows:
the combination formula (3) can be obtained
The measurement resolution Δ d is:
n is in m1+1 row of the nth photoresistor unit which is shaded by the center point from bottom to top, and taking the cup to be measured with the height of H0The height H of the cup to be measured in the measuring range1Comprises the following steps:
similarly, the measurement range L is
According to theoretical analysis, the measurement resolution is larger when the rotation angle θ is smaller, but there is still a limitation.
FIG. 7 is a schematic diagram showing the structure of a photo-resistor unit without complete shading in a boundary row. As shown in FIG. 7, m1The +1 line is a boundary line, and the rotation angle θ is smaller at this time, but the detection of the section of height in the boundary line does not have a completely blocked photoresistor unit, which is not beneficial to the rapid analysis of the photoresistor unit by the processing circuit, so that in the case of reducing the rotation angle θ, any "boundary line" should be ensured to have at least one completely blocked photoresistor unit, which is called a "critical condition" of the rotation angle θ.
Fig. 8 shows a schematic diagram of the critical conditions for the rotation angle theta. As shown in FIG. 8, m1The +1 row is a "boundary row", and if it is ensured that any boundary row has at least one completely shielded photo-resistor unit, the mth row is required1The 1 st column of the photoresistor units and the m1The positive 1 row and the negative 1 column of the photoresistor units have the same height. By using the principle that the projection distances of the array in the vertical direction are equal, the analysis in conjunction with fig. 6 shows that:
θ=θ1formula (17)
On the premise of ensuring that any boundary row at least has one completely shielded photoresistor unit for measurement, the rotation angle theta is the critical condition of the measurement method, and the measurement resolution is the maximum at the moment, so that the measurement method can obtain the condition that
The measurement resolution Δ d is:
n is in m1+1 row of the nth photoresistor units from bottom to top and shielded by the central point of the photoresistor units, and the height of the cup to be measured is H1Can take the value of H0The height H of the cup to be measured in the measuring range1Comprises the following steps:
the measurement range L is as follows:
the same can be obtained when the rotation angle theta is-tan-1(1/N), the same results as above were obtained.
From the above analysis, in the case of in-plane tilt, when the rotation angle θ is tan-1(1/N) or-tan-1(1/N), the optimal solution of the measurement resolution of the method is obtained, and the measurement error is minimum.
Fig. 9 is a schematic diagram of an off-plane tilt measurement method, in which the receiving plate 6, together with the photosensor array 5, and the transmitting plate 2 form an angle β, i.e., an off-plane tilt, and the linear array pitch of the line laser is adjusted to dcos β. Setting the number of shielded photoresistor lines to be m0The height H of the cup is within the measuring range1:
m0d cosβ≤H1≤(m0+1) d cos beta formula (24)
Resolution of the measurement is Δ H
Δ H ═ dcos β formula (25)
Range L of
L ═ Mdcos beta type (26)
From the above analysis, the receiving plate 6 together with the photosensor array 5 is at an angle β to the emitting plate 2 in the case of an off-plane tilt. The measurement resolution is now optimized from d to dcos β.
The measurement method provided by the embodiment is a combined in-plane tilt and out-of-plane tilt measurement method. In the case of in-plane tilt, the case of out-of-plane tilt is considered.
As shown in fig. 10, the oABC plane makes an angle β with xoz. In fig. 10, the Z-coordinate direction indicates a direction perpendicular to the base 1 and directed upward, the X-coordinate direction indicates a direction in which the intersection of the receiving plate 6 and the base 1 faces inward, and the Y-coordinate direction indicates a direction perpendicular to the receiving plate 6 and aligned with the laser emission direction. In the oABC plane, the distance between the centers of (MN-1) sensors is d, the distance between the centers of the (MN-1) sensors is a straight line which is connected in series and is parallel to the ox straight line, and the (MN-1) sensors rotate relative to the ox straight line by theta in the oABC plane, so that the length of the (MN-1) sensors in the oA direction is
L1=(M×N-1)dsinθ
L1Projection on the z-axis is
H1=(M×N-1)dsinθcosβ
As shown in fig. 10, when two adjacent rows of sensors perpendicular to the ox straight line and having a distance d in the plane of the OABC are rotated by θ in the plane of the OABC, the length in the oA direction is dcos θ, and when N horizontal direction sensor cells are used, the average length of the sensor cells per sensor is dcos θ/N. The projection of this length on the z-axis is dcos θ cos β/N, so (MN-1) sensors will result in
H2=(M×N-1)dcosθcosβ/N
Due to H1=H2Thus, therefore, it is
(M×N-1)dsinθcosβ=(M×N-1)dcosθcosβ/N
So that the optimum rotation angle of
The measurement resolution Δ d of the whole system is:
height H of water cup in measuring range1Measuring the height H of the cup outside the measuring range2。
Within the measuring range
Cup rim height H of cup to be measured
H=H1+H2
Measuring range L
Therefore, the test employed in this exampleAmount, when in-plane tilt angle θ:orOff-plane inclination angle β: -90 °<β<At 90 deg., the measuring method increases the measuring resolution from d toResolution ratio is improvedAnd (4) doubling.
The measuring method of the embodiment of the invention is based on a non-contact measuring mode, the measuring mode does not need to be in contact with the rim of the cup to be measured, the cleanness of the cup to be measured can be ensured, the rim of the cup to be measured can be measured remotely and nondestructively, and pollutants cannot be introduced into the cup to be measured in the measuring process.
The measuring method of the embodiment of the invention is a cup mouth height accurate measuring method based on the linear laser array and the photoresistance sensor array, on one hand, the adopted devices are all components which are easy to purchase and have lower price on the market, and the cost is lower; on the other hand, high-precision measurement is realized on the premise of not increasing the complexity of the measurement array circuit, and excessive components are avoided.
Compared with the image processing mode, the measuring method provided by the embodiment of the invention does not depend on the installation position of the camera, is insensitive to the placement position of the water cup to be measured in a certain moving space, and is simple, direct and rapid in calculation.
Claims (4)
1. A device for measuring the height of a cup mouth is characterized by comprising a base station (1), a transmitting flat plate (2), a linear laser array (3), a photoresistance sensor array (5) and a receiving flat plate (6);
the transmitting flat plate (2) and the receiving flat plate (6) are respectively and fixedly connected to the base station (1), the transmitting flat plate (2) is opposite to the receiving flat plate (6), and a contact line between the receiving flat plate (6) and the base station (1) is parallel to the transmitting flat plate (2); the emission flat plate (2) is vertical to the base station (1); the receiving flat plate (6) is obliquely arranged, an included angle between the receiving flat plate (6) and a line vertical to the base station (1) is beta, and the value range of the beta is-90 degrees < beta <90 degrees;
the linear laser linear array (3) is fixedly connected with the transmitting flat plate (2), and the photoresistance sensor array (5) is fixedly connected with the receiving flat plate (6);
the straight line of each row in the photoresistance sensor array (5) and the straight line which is parallel to the emission flat plate (2) and the base station (1) form an angle theta; the intersection line of the laser linear array transmitted by the linear laser linear array (3) and the receiving flat plate (6) forms an angle theta with a straight line which is parallel to the transmitting flat plate (2) and the base station (1), and the value range of theta is-90 degrees < theta <90 degrees.
2. The device for measuring the height of a cup rim according to claim 1, wherein the in-line laser linear array (3) is composed of M in-line lasers vertically arranged at equal intervals, M being an integer greater than 1; the plane of fan-shaped laser emitted by the linear laser array (3) is vertical to the plane of the emitting flat plate (2).
3. An apparatus for measuring the height of a cup rim according to claim 1, wherein the array of photo-resistive sensors (5) consists of M rows and N columns of photo-resistive cells; m is an integer greater than 1; n is an integer greater than 1;
the coverage area of each photoresistor unit is not more than dxd; where d represents the maximum diameter of the photoresistor unit.
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