CN105043314B - A kind of terrace with edge measurement method of parameters examined for tin cream accuracy of detection and system - Google Patents
A kind of terrace with edge measurement method of parameters examined for tin cream accuracy of detection and system Download PDFInfo
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- CN105043314B CN105043314B CN201510217305.2A CN201510217305A CN105043314B CN 105043314 B CN105043314 B CN 105043314B CN 201510217305 A CN201510217305 A CN 201510217305A CN 105043314 B CN105043314 B CN 105043314B
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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
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
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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
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/02—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness
- G01B21/08—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring length, width, or thickness for measuring thickness
Abstract
The invention discloses a kind of terrace with edge measurement method of parameters examined for tin cream accuracy of detection and system.This method includes：Place terrace with edge to be measured；The terrace with edge is carried out parallel to the crosscutting of lower surface, to obtain the n cross section in different height, obtains the parameter in the n cross section；Establish plane right-angle coordinate；The parameter in n cross section of the terrace with edge is brought into the mathematical modeling of precognition, determines the mathematical modeling with least square method, and the parameter of the terrace with edge is obtained according to the mathematical modeling of the determination.The present invention determines the mathematical modeling of precognition with the actual measurement parameter of terrace with edge to be measured, and the parameter of the terrace with edge is obtained under limiting condition, improves the degree of accuracy of terrace with edge parameter measurement.
Description
Technical field
The present invention relates to three-dimensional measurement industry, more particularly to a kind of terrace with edge parameter measurement examined for tin cream accuracy of detection
Method and system.
Background technology
In tin cream three-dimensional measurement industry, all bad judgements are all based on the height of tin cream, area and volume, still
Not an evaluation criteria come determine measurement error.It is exactly to carry out CTQ that it is most convictive, which to assess machine performance,
(Critical-To-Quality) test, but in CTQ tests, judged by measuring the parameter of a terrace with edge
The precision of test, the terrace with edge parameter of test include terrace with edge height, upper surface area and terrace with edge volume.
In three-dimension measuring system, the in general way of the parameter measurement to terrace with edge is to set a substrate height Ha, system
Meter height is more than the point of substrate height, determines terrace with edge lower surface area；Each pixel volume is counted, determines terrace with edge volume；Statistics
The height of each pixel, determine terrace with edge height；Set a terrace with edge upper level Ha, it is high that statistics height is more than terrace with edge upper surface
The point of degree, determines terrace with edge upper surface area.The measurement parameter and H so calculateda,HbIt is serious related, it is impossible to actual reflected measurement essence
Degree, simultaneously because system quantifies precision, optical system distorts, and the factors such as terrace with edge mixes with substrate height, can not measure one
The actual parameter of regular terrace with edge.
The content of the invention
It is an object of the invention to propose terrace with edge measurement method of parameters and system that a kind of tin cream accuracy of detection examines, with treating
The actual measurement parameter of the terrace with edge of survey determines the mathematical modeling of precognition, and the parameter of the terrace with edge is obtained under limiting condition, improves rib
The degree of accuracy of platform parameter measurement.
To use following technical scheme up to this purpose, the present invention：
On the one hand, the embodiment of the present invention provides the terrace with edge measurement method of parameters that a kind of tin cream accuracy of detection is examined, including：
Place terrace with edge to be measured；
Establish plane right-angle coordinate；
The terrace with edge is carried out parallel to the crosscutting of lower surface, to obtain the n cross section in different height, the n
Cross section is 1,2 ..., i ..., n cross section, 1≤i≤n, obtains the parameter in the n cross section, includes the height in cross section
Spend hi, center point coordinate (xi,yi) and area Si, the height h in the cross sectioniFor the cross section and the lower surface away from
From；
The parameter in n cross section of the terrace with edge is brought into the mathematical modeling of precognition, obtains 4*n prescription journeys, with a most young waiter in a wineshop or an inn
Multiplication determines the mathematical modeling, and the mathematical modeling is：
Wherein, ViFor the volume of the cross section above terrace with edge of the terrace with edge, a1, b1, a2, b2, a3, b3, c3, a4, b4, c4, d4
For undetermined coefficient；
According to the mathematical modeling of the determination, V is madei=0, obtain the height of the terrace with edge；Make hi=0, try to achieve the terrace with edge
Volume.
Wherein, after the volume for trying to achieve the terrace with edge, in addition to：By the height and the mark of the volume and terrace with edge
Quasi- height and volume compare, the accuracy using comparative result as measurement.
Wherein, the n is 100,200 or 300.
On the other hand, the embodiment of the present invention provides the terrace with edge parameter measurement system that a kind of tin cream accuracy of detection is examined, including：
Rectangular coordinate system establishes unit, for establishing plane right-angle coordinate；
Cutter unit, for carrying out the terrace with edge parallel to the crosscutting of lower surface, obtain the n horizontal stroke in different height
Section, the n cross section are 1,2 ..., i ..., n cross section, 1≤i≤n；
Parameter acquiring unit, for obtaining the parameter in the n cross section, include the height h in cross sectioni, central point seat
Mark (xi,yi) and area Si, the height h in the cross sectioniFor the distance in the cross section and the lower surface；
Mathematical modeling determining unit, for the parameter in n cross section of the terrace with edge to be brought into the mathematical modeling of precognition, obtain
To 4*n prescription journeys, the mathematical modeling is determined with least square method；
Terrace with edge parameter acquiring unit, for the mathematical modeling according to the determination, make Vi=0, obtain the height of the terrace with edge
Degree；Make hi=0, try to achieve the volume of the terrace with edge to be measured.
Wherein, the system also includes：
Accuracy acquiring unit, for the calibrated altitude and volume of the height and the volume and terrace with edge to be compared,
Accuracy using comparative result as measurement；
Wherein, the system also includes：
Cross section number setting unit, for setting the number n, n 100,200 or 300 in cross section.
The beneficial effect that technical scheme provided by the invention is brought：
The cross section parameter of terrace with edge to be measured is obtained, the parameter is brought to the mathematical modeling of standard terrace with edge satisfaction into, by most
Small square law determines the variable of the mathematical modeling, and bringing the parameter value under limiting condition into the mathematical modeling obtains the rib to be measured
The volume and height of platform；Technical scheme provided by the invention determines the mathematical modeling of precognition with the actual measurement parameter of terrace with edge to be measured,
And the parameter of the terrace with edge is obtained under limiting condition, improve the degree of accuracy of terrace with edge parameter measurement.
Brief description of the drawings
Fig. 1 is the method flow diagram of one embodiment of terrace with edge measurement method of parameters of the present invention；
Fig. 2 is the method flow diagram of second embodiment of terrace with edge measurement method of parameters of the present invention；
Fig. 3 is the system schematic of one embodiment of terrace with edge parameter measurement system of the present invention；
Fig. 4 is the system schematic of second embodiment of terrace with edge parameter measurement system of the present invention；
Embodiment
Further illustrate technical scheme below in conjunction with the accompanying drawings and by embodiment.
Embodiment one
Reference picture 1, Fig. 1 are the method flow diagrams of one embodiment of terrace with edge measurement method of parameters of the present invention.
In the first embodiment, the terrace with edge measurement method of parameters includes：
S101, place terrace with edge to be measured；
The terrace with edge to be measured is regular terrace with edge.
S102, establish plane right-angle coordinate；
Can be x-axis by the straight line where a line of the truncated rectangular pyramids lower surface if the terrace with edge is truncated rectangular pyramids, with it is described
Straight line where the vertical another a line of a line establishes plane right-angle coordinate for y-axis, can also be by the following table of the truncated rectangular pyramids
For the centerline in face as the origin of coordinates, the straight line where two symmetry axis on following surface builds the side of being respectively as x-axis and y-axis
Method is not unique；
S103, the terrace with edge is carried out parallel to the crosscutting of lower surface, to obtain the n cross section in different height, institute
It is 1,2 to state n cross section ..., i ..., n cross section, 1≤i≤n, obtains the parameter in the n cross section, including cross section
Height hi, center point coordinate (xi,yi) and area Si, the height h in the cross sectioniFor the cross section and the lower surface
Distance；
Cut to obtain n cross section by pertinent instruments parallel to lower surface, n can be 100,200 or 300；Can during cutting
With according to equidistant cutting can also Unequal distance, obtain the height h in cross section by apparatus measuresi, center point coordinate (xi,yi)
With area Si。
S104 into, the parameter in n cross section of the terrace with edge is brought to the mathematical modeling of precognition, 4*n prescription journeys are obtained, with most
Small square law determines the mathematical modeling, and the mathematical modeling is：
Wherein, ViFor the volume of the cross section above terrace with edge of the terrace with edge, a1, b1, a2, b2, a3, b3, c3, a4, b4, c4, d4
For undetermined coefficient；
The mathematical modeling is the height h in standard terrace with edge cross sectioni, center point coordinate (xi,yi), area SiAnd cross section
The volume V of above terrace with edgeiThe standardized mathematical model of satisfaction, it can be come out by mathematical formulae direct derivation, by the rib to be measured
The actual measurement parameter in the cross section of platform brings the mathematical modeling that the mathematical modeling is determined for compliance with the terrace with edge to be measured into.
S105, according to the mathematical modeling of the determination, make Vi=0, obtain the height of the terrace with edge；Make hi=0, try to achieve institute
State the volume of terrace with edge.
Work as ViWhen=0, the volume for showing the cross section above terrace with edge of terrace with edge is 0, and the cross section is horizontal for the highest of the terrace with edge
Section, close to upper surface, it now can obtain the height of the height of terrace with edge upper surface, i.e. terrace with edge；Work as hiWhen=0, show terrace with edge
Close to lower surface, for the minimum cross section of the terrace with edge, now the volume of the terrace with edge more than cross section is maximum, close to be somebody's turn to do in cross section
The volume of terrace with edge.
To sum up, the terrace with edge measurement method of parameters of the embodiment of the present invention, after the actual measurement parameter for obtaining terrace with edge to be measured, by this
In the mathematical modeling that the cross section parameter that parameter brings standard terrace with edge into meets, the rib to be measured is determined for compliance with by least square method
The mathematical modeling that the cross section parameter of platform meets, the volume and height of the terrace with edge to be measured are tried to achieve under limiting condition；With to be measured
The actual measurement parameter of terrace with edge determine the mathematical modeling, and the parameter of the terrace with edge is obtained under limiting condition, improves terrace with edge parameter
The degree of accuracy of measurement.
Embodiment two
Reference picture 2, Fig. 2 are the method flow diagrams of second embodiment of terrace with edge measurement method of parameters of the present invention.
On the basis of embodiment one, after step S105, in addition to：
S106, the calibrated altitude and volume of the height and the volume and terrace with edge are compared, using comparative result as
The accuracy of measurement.
The result being calculated and the canonical parameter that CTQ is provided are compared, the accuracy using comparative result as measurement,
Obtained terrace with edge parameter and canonical parameter will be measured and do difference that subtraction obtains as measurement error, or by the difference divided by mark
Quasi- parameter obtains percentage error.
The terrace with edge measurement method of parameters can also be used in measurement or control that other application field carries out parameter.
To sum up, the terrace with edge measurement method of parameters of the embodiment of the present invention, standard rib is determined with the actual measurement parameter of terrace with edge to be measured
The mathematical modeling of platform satisfaction simultaneously obtains the parameter of the terrace with edge under limiting condition, so as to obtain the accuracy of terrace with edge measurement, carries
The high terrace with edge parameter measurement degree of accuracy, and can preferably reflect the measurement accuracy of instrument.
Embodiment three
Reference picture 3, Fig. 3 are the system construction drawings of one embodiment of terrace with edge parameter measurement system of the present invention, the present invention
Embodiment of the method and system embodiment belong to same design, the detail content of not detailed description in system embodiment can be with
With reference to above method embodiment.
Rectangular coordinate system establishes unit 01, for establishing plane right-angle coordinate；
Plane right-angle coordinate is established, determines the coordinate of cross section central point, but it is not unique to build system, method.
Cutter unit 02, for the terrace with edge parallel to the crosscutting of lower surface, obtain n in different height
Cross section, the n cross section are 1,2 ..., i ..., n cross section, 1≤i≤n；
Parameter acquiring unit 03, for obtaining the parameter in the n cross section, include the height h in cross sectioni, central point
Coordinate (xi,yi) and area Si, the height h in the cross sectioniFor the distance in the cross section and the lower surface；
N cross section and the parameter in cross section of terrace with edge to be measured are obtained by pertinent instruments, includes the height in cross section
Spend hi, center point coordinate (xi,yi), area Si。
Mathematical modeling determining unit 04, for the parameter in n cross section of the terrace with edge to be brought into the mathematical modeling of precognition,
4*n prescription journeys are obtained, the mathematical modeling is determined with least square method；
The mathematical modeling that the mathematical modeling meets for the cross section parameter of standard terrace with edge, mathematical modulo is tried to achieve with least square method
Undetermined coefficient in type, determine the center point coordinate (x in the cross section of the terrace with edge to be measuredi,yi), area SiMore than cross section
The volume V of terrace with edgeiThe mathematical modeling of satisfaction.
Terrace with edge parameter acquiring unit 05, for the mathematical modeling according to the determination, make Vi=0, obtain the terrace with edge
Highly；Make hi=0, try to achieve the volume of the terrace with edge to be measured.
To sum up, the terrace with edge parameter measurement system, the cross section parameter of the terrace with edge obtained will be detected, brings the horizontal stroke of standard terrace with edge into
The mathematical modeling that section parameter meets, determines the undetermined coefficient in the mathematical modeling by least square method, obtains meeting the rib
The mathematical modeling that the cross section parameter of platform meets, the parameter of the terrace with edge is tried to achieve under limiting condition, improves terrace with edge parameter measurement
The degree of accuracy.
Example IV
Reference picture 4, Fig. 4 are the system construction drawings of second embodiment of terrace with edge parameter measurement system of the present invention.
On the basis of embodiment three, the system also includes：
Accuracy acquiring unit 06, for the calibrated altitude and volume of the height and the volume and terrace with edge to be done into ratio
Compared with the accuracy using comparative result as measurement；
Obtained terrace with edge parameter and canonical parameter will be measured and do difference that subtraction obtains as measurement error, or by the difference
Value divided by canonical parameter obtain percentage error.
Cross section number setting unit 07, for setting the number n, n 100,200 in cross section, or 300.
The number in the cross section of terrace with edge is more, the reality according to the mathematical modeling that the parameter in the cross section determines closer to terrace with edge
Border characteristic, actual parameter of the parameter tried to achieve closer to the terrace with edge.
To sum up, the terrace with edge parameter measurement system, the mathematics of standard terrace with edge satisfaction is determined with the actual measurement parameter of terrace with edge to be measured
Model simultaneously obtains the parameter of the terrace with edge under limiting condition, so as to obtain the accuracy of terrace with edge measurement, improves terrace with edge parameter
Accuracy of measurement, and can preferably reflect the measurement accuracy of instrument.
Claims (6)
- A kind of 1. terrace with edge measurement method of parameters examined for tin cream accuracy of detection, it is characterised in that including：Place terrace with edge to be measured；Establish plane right-angle coordinate；The terrace with edge is carried out parallel to the crosscutting of lower surface, to obtain the n cross section in different height, the n crosscutting Face is 1,2 ..., i ..., n cross section, 1≤i≤n, obtains the parameter in the n cross section, includes the height h in cross sectioni, Center point coordinate (xi,yi) and area Si, the height h in the cross sectioniFor the distance in the cross section and the lower surface；The parameter in n cross section of the terrace with edge is brought into the mathematical modeling of precognition, 4*n prescription journeys is obtained, uses least square method The mathematical modeling is determined, the mathematical modeling is：Wherein, ViFor the volume of the cross section above terrace with edge of the terrace with edge, a1, b1, a2, b2, a3, b3, c3, a4, b4, c4, d4To treat Determine coefficient；According to the mathematical modeling of the determination, V is madei=0, obtain the height of the terrace with edge；Make hi=0, try to achieve the body of the terrace with edge Product.
- 2. according to the method for claim 1, it is characterised in that after the volume for trying to achieve the terrace with edge, in addition to：Will The calibrated altitude and volume of the height and the volume and terrace with edge compare, the accuracy using comparative result as measurement.
- 3. according to the method for claim 1, it is characterised in that the n is 100,200 or 300.
- A kind of 4. terrace with edge parameter measurement system that tin cream accuracy of detection is examined, it is characterised in that including：Rectangular coordinate system establishes unit, for establishing plane right-angle coordinate；Cutter unit, it is crosscutting for the terrace with edge parallel to the crosscutting of lower surface, obtain n in different height Face, the n cross section are 1,2 ..., i ..., n cross section, 1≤i≤n；Parameter acquiring unit, for obtaining the parameter in the n cross section, include the height h in cross sectioni, center point coordinate (xi, yi) and area Si, the height h in the cross sectioniFor the distance in the cross section and the lower surface；Mathematical modeling determining unit, for the parameter in n cross section of the terrace with edge to be brought into the mathematical modeling of precognition, obtain 4* N prescription journeys, the mathematical modeling is determined with least square method；Terrace with edge parameter acquiring unit, for the mathematical modeling according to the determination, make Vi=0, obtain the height of the terrace with edge；Order hi=0, try to achieve the volume of the terrace with edge to be measured.
- 5. system according to claim 4, it is characterised in that also include：Accuracy acquiring unit, for the calibrated altitude and volume of the height and the volume and terrace with edge to be compared, it will compare Accuracy of the relatively result as measurement.
- 6. system according to claim 5, it is characterised in that also include：Cross section number setting unit, for setting the number n, n 100,200 or 300 in cross section.
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