CN105066904B - Streamline product tri-dimensional facial type detection method based on phase gradient threshold value - Google Patents

Streamline product tri-dimensional facial type detection method based on phase gradient threshold value Download PDF

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CN105066904B
CN105066904B CN201510420768.9A CN201510420768A CN105066904B CN 105066904 B CN105066904 B CN 105066904B CN 201510420768 A CN201510420768 A CN 201510420768A CN 105066904 B CN105066904 B CN 105066904B
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phase
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abrupt change
change region
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CN105066904A (en
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武迎春
赵爱春
王安红
田文艳
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SHANXI JIAOCHENG HONGXING CHEMICAL Co.,Ltd.
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Taiyuan University of Science and Technology
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Abstract

The invention belongs to online tri-dimensional facial type detection field, particularly disclose a kind of streamline product tri-dimensional facial type detection method based on phase gradient threshold value, solve the problem of prior art is present, take into full account that online tri-dimensional facial type detection, to measuring speed and the balance of required precision, proposes the streamline product tri-dimensional facial type real-time detection method based on phase gradient threshold value.The overall phase information of testee is obtained by the method for Fourier transformation, the Grads threshold of phase is participated in into related operation as characteristics of image and obtains phase shift striped, body surface abrupt change region is obtained to the expansion of binaryzation dephasing gradient figure, the phase distribution in abrupt change region is finally iterated to calculate using least square method, precision is obtained to improve phase for correcting FTP result of calculation.

Description

Streamline product tri-dimensional facial type detection method based on phase gradient threshold value
Technical field:
The invention belongs to online tri-dimensional facial type detection field, more particularly to a kind of streamline based on phase gradient threshold value Product tri-dimensional facial type detection method.
Background technology:
Online tri-dimensional facial type detection belongs to the category of dynamic detection, and dynamic detection need to take into full account the real-time of measuring method Property.Fringe projection technology of profiling calculates deforming stripe phase to obtain the three of object by projecting sinusoidal light in testee Tie up information, this method has that contactless, measurement accuracy is considerable, simple to operate, the low advantage of measurement cost, available for streamline production The on-line checking of product three-dimensional dimension.
In many algorithms of fringe projection technology of profiling, Fourier transform profilometry (Fourier transform Profilometry, abbreviation FTP) it is usually used in dynamic measurement, it uses the method for Fourier analysis to obtain phase information, with complete The advantage of field analysis, but due to being related to frequency domain filtering, cause object plane type sudden change region measurement accuracy to be restricted.
Phase measuring profilometer (phase measuring profilometry, abbreviation PMP) uses phase-shifting technique point pair The method that point calculates phase, the change to background, contrast and noise is insensitive, and measurement accuracy is high.But needed in measurement process Gather at least three frame deforming stripes to calculate a frame phase information, the motion of object causes thing in different bar graphs in dynamic measurement The position of body image is changed, and error is brought to PMP phase calculations.Overcome this problem, CCD is not required nothing more than with higher Filming frequency, also requires that projector equipment has equivalent projection switching frequency, what Iowa state universities of U.S. Zhang Song et al. was proposed Real-time three-dimensional detecting system can be used for online three-dimensional values, but system hardware is had higher requirements.
Sichuan University Cao Yi equalitys people keeps the movement characteristic of translation according to streamline product, and proposition pixel matching is by thing The method that displacement body is converted to striped phase shift, solves what the deforming stripe figure object space not photographed in the same time changed Problem, so as to reduce to projection, the requirement of frequency acquisition.Wherein the online PMP based on Stoilov algorithms uses metrological grating Sensor produces trigger signal to control CCD to shoot the deforming stripe figure of the equidistant movement of object, by object after pixel matching Displacement be converted into striped phase in-migration calculate object phase distribution.
In order to reduce the complexity of measuring system control section, at the same improve solution phase precision, they propose again based on The online PMP of the phase shift algorithms such as full cycle.This method projects multiframe phase shift bar graph, it is desirable to movement direction of object and striped phase shift Direction is vertical, and object of which movement does not produce equivalent phase shift after pixel matching so that the phase-shift phase of the deforming stripe figure collected is equal to The phase-shift phase of projected fringe, realizes the purpose of the artificial coding-control of phase-shift phase.But in actual measurement process, it is difficult to accurate control The shift direction of projected fringe is vertical with the direction of motion of object, and the systematic error of out of plumb will cause it is each after pixel matching Frame deforming stripe figure produces additional phase shift amount in striped shift direction, and phase is introduced when calculating phase using phase shift algorithms such as full cycles Shift error, reduces phase calculation precision.
In view of the above-mentioned problems, propose to obtain any phase-shift phase using pixel matching again, iterated to calculate using least square method The method of phase, not only increases measurement accuracy, also reduces the constraints of system and device locus.But least square method Iterate to calculate phase time-consuming longer, be unfavorable for the raising of system real time.
From above-mentioned discussion, either still iterated to calculate, do not had using least square method using Fourier transformation Take into full account tri-dimensional facial type detection to measuring speed and the balance of required precision.Fourier transform profilometry real-time is good, but Measurement accuracy is not high, and measurement error concentrates on the abrupt change region of the honorable type of measured object.Least square method iteration measurement accuracy is high, but Iteration time is long, have impact on the real-time of measurement.
The content of the invention:
The present invention overcomes the shortcomings of that prior art is present, and solves the problem of prior art is present, takes into full account online three The type detection of dimension face proposes the streamline product three-dimensional surface based on phase gradient threshold value to measuring speed and the balance of required precision Type real-time detection method.The overall phase information of testee is obtained by the method for Fourier transformation, by the gradient threshold of phase Value participates in related operation as characteristics of image and obtains phase shift striped, and body surface abrupt change is obtained to the expansion of binaryzation dephasing gradient figure Region, finally iterates to calculate the phase distribution in abrupt change region using least square method, for correcting FTP result of calculation to improve Phase obtains precision.
In order to solve the above technical problems, the technical solution adopted by the present invention is:Streamline production based on phase gradient threshold value Product tri-dimensional facial type detection method, detection process is followed the steps below:
Step 1) projector sinusoidal grating picture is in testee, and CCD gathers deforming stripe figure not in the same time;
When on conveyer belt without testee, the bar graph that CCD is not photographed in the same time does not change, its light distribution It is represented by:I0(x, y)=R (x, y) [A (x, y)+B (x, y) cos φ0(x,y)] (1)
R (x, y) is body surface reflectivity in formula, and A (x, y) is background light intensity, and B (x, y) is fringe contrast;φ0(x, Y) it is distributed for fringe phase;
When measurement object is moved with conveyer belt, CCD does not collect deforming stripe figure in the same time, and its light distribution can be represented For:
Ii(x, y)=R (x, y) [A (x, y)+B (x, y) cos φi(x, y)] i=1,2 ... M (2)
φ in formulai(x, y) is the phase distribution of body surface deforming stripe, and object of which movement makes it as in every frame deforming stripe Position in figure is different, and the distribution of the phase-modulation of generation is also different, is distinguished with subscript i;M represents to shoot frame number;
Step 2) phase obtain and phase only pupil filter:
A, calculated per phase place change φ caused by object height in frame bar line with the method for Fourier transformationi(x,y):
Fourier transformation is made to formula (2) ,+1 grade of fundamental component is filtered out, remaking inverse Fourier transform can obtain:
Same computing is done to the light distribution (1) obtained of CCD on the plane of reference to obtain:
Therefore the phase place change as caused by object height is:
Wherein lm { } expressions take the imaginary part of plural number, and * represents conjugate operation;
B, the gradient for calculating phase place change, according to graded by object zoning, obtain abrupt change region template;
With △ φiThe gradient of (x, y) is distributed as foundation, the division in measurement object abrupt change region is realized, to △ φi(x's, y) Gradient carries out threshold value, obtains the phase gradient figure of binaryzation:
Wherein grad [] represents gradient algorithm, and T is system calibrating value, such testee generally under measuring environment It is a small amount of that the average value of greatest gradient subtracts one.
Then to △ φg i(x, y) is expanded, you can obtain abrupt change region Prototype drawing Maski(x,y);
C, binaryzation phase diagram, which is carried out related calculation, obtains ohject displacement;
Intercept binaryzation phase gradient figure △ φg iThe characteristic area of (x, y), does with M frame binaryzation phase gradient figures respectively Related operation, ohject displacement can be obtained by calculating the coordinate difference of maximal correlation point;
D, the phase shift that ohject displacement is converted to striped, obtain phase shift bar graph;According to abrupt change region template using minimum The phase place change as caused by object height at square law iterative calculation abrupt change region;
The corresponding abrupt change region template of the M frame phase shift bar graphs photographed is multiplied, abrupt change region bar graph is obtained:
I′i(x, y)=Ii(x,y)·Maski(x,y) (7)
Adjacent N frames are divided into one group, and abrupt change region bar graph is grouped, bar graph cut out according to ohject displacement Cut, realize that the pixel coordinate of object in each group different distortion bar graph is consistent, while ohject displacement is also converted into phase shift striped, The method of obtained phase shift bar graph least square method iteration is calculated to the phase place change in object abrupt change region;
E, with abrupt change region phase formula (5) is modified, improves phase and obtain precision;
With the phase place change at the abrupt change region in the abrupt change region phase place change alternate form (5) calculated in d, phase is lifted Position obtains precision;
Step 3) by the X of system calibrating acquisition object, Y-direction information, and phase information is converted into depth information Z.
The present invention has the advantages that compared with prior art.
First, the present invention proposes that the method being combined based on Fourier transformation and least square method iteration obtains testee Tri-dimensional facial type, the overall phase information of testee is obtained by the method for Fourier transformation, then by phase information Region segmentation is carried out, is divided into abrupt change region and non-abrupt change region, abrupt change region and phase is iterated to calculate using least square method, is used Above-mentioned phase replaces the phase at abrupt change region in the overall phase information that Fourier transformation method is obtained.Fourier transformation ensures Measuring speed, least square method iteration at abrupt change region to being modified, it is ensured that the measurement accuracy in abrupt change region.
Second, for the division of body surface gently with abrupt change region, propose by calculating phase gradient, reasonable threshold value is swollen Abrupt change region is obtained after swollen.
3rd, for the feature extraction of deforming stripe, propose the side based on phase gradient threshold value searching object abrupt change border Method, completes pixel matching related operation.
Brief description of the drawings
Fig. 1 is on-line checking schematic diagram.
Fig. 2 is that phase is obtained and phase correction procedure block diagram.
Fig. 3 is testee tri-dimensional facial type distribution map.
Fig. 4 is the wherein two frame deforming stripe figures that CCD is photographed.
Phase place change caused by the corresponding object height that Fig. 5 obtains for calculating.
Fig. 6 is the phase gradient figure of binaryzation.
Fig. 7 is three-dimensional reconstruction structure chart, wherein (a) is FTP three-dimensional reconstruction structures, (b) is three-dimensional reconstruction structure of the present invention.
Fig. 8 is correspondence root-mean-square error distribution.
Embodiment:
As shown in figure 1, the online tri-dimensional facial type detecting system principle based on fringe projection technology of profiling is that testee is with biography Band uniform motion in X direction is sent, computer control Digital light projector projects sinusoidal grating picture in testee surface, projecting apparatus Optical axis PO and CCD the O points that meet on the plane of reference of optical axis CO, the height of object can cause striped to deform upon, i.e., phase is sent out Changing, calculates the phase place change of striped, you can obtain the elevation information Z of object.
Streamline product tri-dimensional facial type detection method of the invention based on phase gradient threshold value, detection process is according to following step It is rapid to carry out:
Step 1) projector sinusoidal grating picture is in testee, and CCD gathers deforming stripe figure not in the same time;
When on conveyer belt without testee, the bar graph that CCD is not photographed in the same time does not change, its light distribution It is represented by:I0(x, y)=R (x, y) [A (x, y)+B (x, y) cos φ0(x,y)] (1)
R (x, y) is body surface reflectivity in formula, and A (x, y) is background light intensity, and B (x, y) is fringe contrast;φ0(x, Y) it is distributed for fringe phase;
When measurement object is moved with conveyer belt, CCD does not collect deforming stripe figure in the same time, and its light distribution can be represented For:
Ii(x, y)=R (x, y) [A (x, y)+B (x, y) cos φi(x, y)] i=1,2 ... M (2)
φ in formulai(x, y) is the phase distribution of body surface deforming stripe, and object of which movement makes it as in every frame deforming stripe Position in figure is different, and the distribution of the phase-modulation of generation is also different, is distinguished with subscript i;M represents to shoot frame number.
Step 2) phase obtain and phase only pupil filter:Whole process as shown in Fig. 2
A, calculated per phase place change φ caused by object height in frame bar line with the method for Fourier transformationi(x,y):
Fourier transformation is made to formula (2) ,+1 grade of fundamental component is filtered out, remaking inverse Fourier transform can obtain:
Same computing is done to the light distribution (1) obtained of CCD on the plane of reference to obtain:
Therefore the phase place change as caused by object height is:
Wherein lm { } expressions take the imaginary part of plural number, and * represents conjugate operation;
Above-mentioned formula (5) is exactly to calculate the overall phase information of obtained testee by Fourier transformation, but is due to Fourier transformation is related to frequency domain filtering when calculating phase, limits the precision of phase acquisition, and error is concentrated mainly on object Abrupt change region, therefore abrupt change region phase is modified can effectively improve the overall phase information of object.
The amendment of abrupt change region phase is premised on the division in abrupt change region, because fringe phase caused by object changes △ φi(x, y) has linear approximate relationship with object height.Therefore the present invention is with △ φiThe gradient of (x, y) is distributed as foundation, realizes and surveys Measure the division in object abrupt change region.Several step emphasis introduce the division in abrupt change region and obtaining for abrupt change region phase below Take.
B, the gradient for calculating phase place change, according to graded by object zoning, obtain abrupt change region template;
With △ φiThe gradient of (x, y) is distributed as foundation, the division in measurement object abrupt change region is realized, to △ φi(x's, y) Gradient carries out threshold value, obtains the phase gradient figure of binaryzation:
Wherein grad [] represents gradient algorithm, and T is system calibrating value, such testee generally under measuring environment The average value of greatest gradient subtracts one in a small amount,
Then to △ φg i(x, y) is expanded, you can obtain abrupt change region Prototype drawing Maski(x,y);
C, maximal correlation computing is done to binaryzation phase diagram obtain ohject displacement;
Intercept binaryzation phase gradient figure △ φg iThe characteristic area of (x, y), does with M frame binaryzation phase gradient figures respectively Related operation, ohject displacement can be obtained by calculating the coordinate difference of maximal correlation point;
D, the phase shift that ohject displacement is converted to striped, obtain phase shift bar graph;According to abrupt change region template using minimum The phase place change as caused by object height at square law iterative calculation abrupt change region;
The corresponding abrupt change region template of the M frame phase shift bar graphs photographed is multiplied, abrupt change region bar graph is obtained:
I′i(x, y)=Ii(x,y)·Maski(x,y) (7)
Adjacent N frames are divided into one group, and abrupt change region bar graph is grouped, bar graph cut out according to ohject displacement Cut, realize that the pixel coordinate of object in each group different distortion bar graph is consistent, while ohject displacement is also converted into phase shift striped, The method of obtained phase shift bar graph least square method iteration is calculated to the phase place change in object abrupt change region.
E, with abrupt change region phase formula (5) is modified, improves phase and obtain precision;
With the phase place change at the abrupt change region in the abrupt change region phase place change alternate form (5) calculated in d, phase is lifted Position obtains precision.
Step 3) by the X of system calibrating acquisition object, Y-direction information, and phase information is converted into depth information Z.
The present invention is used for related operation using the phase of object when obtaining phase shift striped as feature.The feature of image Extract mostly using the texture or depth information of object in scene as feature, the phase information that fringe projection technology of profiling is obtained with Highly there is linear approximate relationship, can be with representative image object features.When using Structured Illumination in measurement process, not in the same time Testee is without obvious textural characteristics in the bar graph photographed, and prior art, which is used, to be placed with mark without fringe area, extracts mark Remember that texture information, as the method for feature, this method increase the complexity of measurement process;The method for calculating modulation of fringes can To extract the edge contour of the testee covered by striped as feature, but object edge shade can bring matching error.
The present invention does region segmentation based on phase information in addition, and the overall phase of testee is obtained using Fourier transformation Information, then using least square method iterated revision object abrupt change region phase value, the phase error that reduction frequency domain filtering is caused, Compared with Fourier transformation method, measurement accuracy is higher, compared with least square method iteration, and speed is faster.The present invention is fully examined Consider the balance of measuring speed and measurement accuracy, be more applicable for online tri-dimensional facial type detection.
Illustrate effectiveness of the invention below by Computer Simulation example, be illustrated in figure 3 the three-dimensional of testee Face type profile diagram, Fig. 4 is the wherein two frame deforming stripe figure I that CCD is photographediThe horizontal displacement of object is 40 under (x, y), striped Individual pixel.Fig. 5 is that phase place change △ φ caused by obtained corresponding object height are calculated according to the method for the present inventioni(x,y).Figure 6 is calculate after its gradient and threshold value, correspondence binaryzation phase gradient figure.After being carried out related calculation to phase gradient figure, displacement is obtained For 40 pixels, meet preset value, illustrate that abrupt change region threshold can effectively recognize object abrupt change border.Fig. 6 is expanded Abrupt tranaition domain template is can obtain, phase is iterated to calculate with least square method to abrupt change region, for correcting FTP phase calculation knots Really.After Phase-height mapping, as shown in fig. 7, wherein (a) is FTP three-dimensional reconstruction structures, (b) is three-dimensional reconstruction of the present invention Structure.(a), (b) are correspondence root-mean-square error distribution in Fig. 8, and corresponding RMS is respectively 0.9004mm, 0.2662mm.From Fig. 7 It is higher relative to fourier transform method precision with the method that the present invention is can be seen that in Fig. 8.
The speed of region segmentation phase calculation method is put forward to the present invention again to evaluate, the identical phase shift striped of use, Under conditions of same computer configuration, the phase calculation time of the invention is 5.26 seconds, if global changed using least square method In generation, calculates phase and needs 18.28 seconds, illustrates that the FTP based on region segmentation is combined calculating phase with least square method and can improve survey Measure speed.
Embodiments of the invention are explained in detail above, but the present invention is not limited to above-described embodiment, in ability In the knowledge that domain those of ordinary skill possesses, various changes can also be made on the premise of present inventive concept is not departed from Change.

Claims (1)

1. the streamline product tri-dimensional facial type detection method based on phase gradient threshold value, it is characterised in that detection process according to Lower step is carried out:
Step 1) projector sinusoidal grating picture is in testee, and CCD gathers deforming stripe figure not in the same time;
When on conveyer belt without testee, the bar graph that CCD is not photographed in the same time does not change, and its light distribution can table It is shown as:I0(x, y)=R (x, y) [A (x, y)+B (x, y) cos φ0(x,y)] (1)
R (x, y) is body surface reflectivity in formula, and A (x, y) is background light intensity, and B (x, y) is fringe contrast, φ0(x, y) is Fringe phase is distributed;
When testee is moved with conveyer belt, the deforming stripe figure that CCD is not collected in the same time, its light distribution can be represented For:
Ii(x, y)=R (x, y) [A (x, y)+B (x, y) cos φi(x, y)] i=1,2 ... M (2)
φ in formulai(x, y) is the phase distribution of body surface deforming stripe, and object of which movement makes it as in every frame deforming stripe figure Position it is different, the distribution of the phase-modulation of generation is also different, is distinguished with subscript i, and M represents to shoot frame number;
Step 2) phase obtain and phase only pupil filter:
A, calculated per phase place change φ caused by object height in frame bar line with the method for Fourier transformationi(x,y):
Fourier transformation is made to formula (2) ,+1 grade of fundamental component is filtered out, remaking inverse Fourier transform can obtain:
<mrow> <msub> <mi>g</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mi>R</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <mi>B</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </mfrac> <mi>exp</mi> <mo>&amp;lsqb;</mo> <mi>j</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>&amp;phi;</mi> <mi>i</mi> </msub> <mo>(</mo> <mrow> <mi>x</mi> <mo>,</mo> <mi>y</mi> </mrow> <mo>)</mo> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>
Same computing is done to the light distribution (1) obtained of CCD on the plane of reference to obtain:
<mrow> <msub> <mi>g</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mi>R</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <mi>B</mi> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> </mrow> <mn>2</mn> </mfrac> <mi>exp</mi> <mo>&amp;lsqb;</mo> <mi>j</mi> <mo>&amp;CenterDot;</mo> <msub> <mi>&amp;phi;</mi> <mn>0</mn> </msub> <mo>(</mo> <mrow> <mi>x</mi> <mo>,</mo> <mi>y</mi> </mrow> <mo>)</mo> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
Therefore the phase place change as caused by object height is:
<mrow> <msub> <mi>&amp;Delta;&amp;phi;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>=</mo> <msub> <mi>&amp;phi;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>-</mo> <msub> <mi>&amp;phi;</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>l</mi> <mi>m</mi> <mo>{</mo> <mi>l</mi> <mi>n</mi> <mo>&amp;lsqb;</mo> <mrow> <msub> <mi>g</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mrow> <mi>x</mi> <mo>,</mo> <mi>y</mi> </mrow> <mo>)</mo> </mrow> <msubsup> <mi>g</mi> <mn>0</mn> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <mrow> <mi>x</mi> <mo>,</mo> <mi>y</mi> </mrow> <mo>)</mo> </mrow> </mrow> <mo>&amp;rsqb;</mo> <mo>}</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
Wherein lm { } expressions take the imaginary part of plural number, and * represents conjugate operation;
B, the gradient for calculating phase place change, according to graded by object zoning, obtain abrupt change region template;
With Δ φiThe gradient of (x, y) is distributed as foundation, the division in measurement object abrupt change region is realized, to Δ φiThe gradient of (x, y) Threshold value is carried out, the phase gradient figure of binaryzation is obtained:
<mrow> <msub> <msup> <mi>&amp;Delta;&amp;phi;</mi> <mi>g</mi> </msup> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mo>=</mo> <mn>1</mn> </mrow> </mtd> <mtd> <mrow> <mi>g</mi> <mi>r</mi> <mi>a</mi> <mi>d</mi> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;Delta;&amp;phi;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>&amp;GreaterEqual;</mo> <mi>T</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>=</mo> <mn>0</mn> </mrow> </mtd> <mtd> <mrow> <mi>g</mi> <mi>r</mi> <mi>a</mi> <mi>d</mi> <mo>&amp;lsqb;</mo> <msub> <mi>&amp;Delta;&amp;phi;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>&amp;rsqb;</mo> <mo>&lt;</mo> <mi>T</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>6</mn> <mo>)</mo> </mrow> </mrow>
Wherein grad [] represents gradient algorithm, and T is to be obtained according to system calibrating,
Then to Δ φg i(x, y) is expanded, you can obtain abrupt change region Prototype drawing Maski(x,y);
C, binaryzation phase diagram, which is carried out related calculation, obtains ohject displacement;
Intercept binaryzation phase gradient figure Δ φg iThe characteristic area of (x, y), does related to M frame binaryzation phase gradient figures respectively Computing, ohject displacement can be obtained by calculating the coordinate difference of maximal correlation point;
D, the phase shift that ohject displacement is converted to striped, obtain phase shift bar graph;Least square is used according to abrupt change region template The phase place change as caused by object height at method iterative calculation abrupt change region;
The corresponding abrupt change region template of the M frame phase shift bar graphs photographed is multiplied, abrupt change region bar graph is obtained:
I′i(x, y)=Ii(x,y)·Maski(x,y) (7)
Adjacent N frames are divided into one group, and abrupt change region bar graph is grouped, bar graph cut according to ohject displacement, real The pixel coordinate of object is consistent in existing each group different distortion bar graph, while ohject displacement is also converted into phase shift striped, will The method of the phase shift bar graph least square method iteration arrived calculates the phase place change in object abrupt change region;
E, with abrupt change region phase formula (5) is modified, improves phase and obtain precision;
With the phase place change at the abrupt change region in the abrupt change region phase place change alternate form (5) calculated in d, lifting phase is obtained Take precision;
Step 3) by the X of system calibrating acquisition object, Y-direction information, and phase information is converted into depth information Z.
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