CN1928492A - Gray code based phase development method in three-dimensional scanning system - Google Patents
Gray code based phase development method in three-dimensional scanning system Download PDFInfo
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- CN1928492A CN1928492A CN 200610041558 CN200610041558A CN1928492A CN 1928492 A CN1928492 A CN 1928492A CN 200610041558 CN200610041558 CN 200610041558 CN 200610041558 A CN200610041558 A CN 200610041558A CN 1928492 A CN1928492 A CN 1928492A
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- In the 3 D scanning system based on the phase developing method of Gray code, it is characterized in that according to the binary-coded requirement in space design two minutes projection grating figure totally seven width of cloth and with four amplitude grating phase shift figure of 90 ° of phase shifts progressively, it is projected on the testee, take the photograph by CCD then and be back to computing machine, according to four width of cloth phase shift figure, utilize phase-shift method, according to Can obtain the wrapped phase figure of phase value in-π~π scope; Two minutes grating projective images is progressively carried out Threshold Segmentation, and then carry out Gray code, mark off the cycle accurately by the result of Gray code, thereby wrapped phase figure is launched, obtain the unique phase value of the whole audience; Lack the zone of failing to launch owing to Gray code for object edge, utilization will launch phase diagram and former wrapped phase figure travels through comparison phase place complementing method line by line, to carry out phase unwrapping again less than the phase place of launching, finally obtain phase information complete, that launched accurately.
- 2. based on the phase developing method of Gray code, it is characterized in that the main operational steps of this method is in the 3 D scanning system according to claim 1:1.) design 7 width of cloth adopt progressively the grating phase shift figure that two minutes the optical grating projection pattern and 4 width of cloth have 90 ° of phase shifts; In the 1st width of cloth coarse grating picture black and white 2 stripe are arranged, the 2nd width of cloth coarse grating picture carries out five equilibrium to the black and white strip in the 1st width of cloth, obtains the striped that 4 black and white replace, and the rest may be inferred, n width of cloth coarse grating picture carries out five equilibrium to the striped in the n-1 width of cloth coarse grating picture, obtains 2 nThe bar black and white replaces striped, above-mentioned fine grating is that width of fringe is 1/2nd a grating of width of fringe in last width of cloth coarse grating picture, in the wherein back width of cloth fine grating picture fringe position successively with a last width of cloth fine grating picture in fringe position skew l/k distance on equidirectional, l is the width of fringe in the fine grating, k is total width of cloth number of fine grating picture, and the l/k value is 0.4 to 0.6 pixel wide; The 8th width of cloth figure continues refinement in two fens, respectively 90 ° of its phase shifts is left obtained 4 width of cloth phase shift figure then, and this group grating pattern that designs is projected on the object, is taken the photograph by CCD then and is back to computing machine;2.) employing makes the phase shift of 4 width of cloth figure respectively be: α with 4 width of cloth figure phase-shift methods of 90 ° of phase shifts 1=0, α 2=pi/2, α 3=π, α 4=3 pi/2s; Each figure representation is:I i(x,y)=I 0(x,y){1+γ(x,y)cos[(x,y)+α i]}Wherein, I i(x y) is the gray-scale value of i width of cloth figure, I 0(x y) is the background value of bar graph, γ (x y) is the modulate intensity function, (x y) is the field of behaviour to be asked, and supposes 4 width of cloth figure in same light field, and background gray levels is identical, according to formula:Obtain wrapped phase information;3.) with seven width of cloth progressively two minutes stripe pattern carry out the black and white binary conversion treatment, the pixel in white stripes zone is labeled as " 1 " in the image, the pixel in blackstreak zone is labeled as " 0 ", every like this through a projection, each pixel in the image just obtains a binary number " 0 " or " 1 "; After treating that the whole projections of projection pattern are intact, the binary number that pixel obtained is combined in order, pixel with same-code has just constituted a narrow belt-like zone, the measured object space just correspondingly is divided into numerous in the well-determined shaped like narrow of binary coding zone like this, be encoded to 0 successively from left to right with dividing the shaped like narrow zone of coming out, 1,2 The number of the optical grating projection that adopts makes that final number of regions of dividing is the twice of wrapped phase figure periodicity, and per two narrowband region are then corresponding to the one-period among the wrapped phase figure; For making each cycle corresponding to wrapped phase figure in each zone that gray encoding divides, the odd number stripe is found out and is removed on the border of Gray code zoning, then remaining each stripe all is in the center of the black streaking of first width of cloth phase shift figure just, in the width range of black streaking, find out stain, it is the fringe center point, the peak value striped that finds according to first width of cloth phase shift figure travels through in the certain limit of phase diagram, find the stain of phase diagram, and be numbered 0,1,2 ..., the border that is about to each cycle of phase diagram is found out; Whether the correctness for guaranteeing that stain is looked for travels through full figure once more, check in each certain zonule about the stain that has found and find really for stain, if not the point that will find originally removal; Promptly drawn the accurate numbering in each cycle of phase diagram thus, according to formula: Φ (i, j)= (i, j)+2k π, k=0,1,2 ... wherein, (i, j) be the phase value of certain point among the wrapped phase figure, k represents which cycle this point is positioned at wrapped phase figure, Φ (i, j) be the absolute phase values after this some expansion, can draw thus and launch the unique phase diagram of back whole audience phase place;4.) the phase value that the object edge place can't be launched because of the Gray code disappearance, it is complete to adopt backoff algorithm to replenish, incomplete phase unwrapping figure and wrapped phase figure are compared, travel through line by line, for avoiding the physics discontinuous point that phase unwrapping is produced error, travel through from left to right earlier, if the phase place of wrapped phase figure current location and the first from left position all exists, judge whether current location has 2 π transition, if have transition then the cycle add one, according to the wrapped phase value of current location and the cycle that calculates, by formula: Φ (i, j)=and (i, j)+2k π obtains launching phase place; From left to right traversal finishes when running into the physics discontinuous point, so just completion the expansion phase place in left side, discontinuous position among the wrapped phase figure; Therewith roughly the same, travel through one time the expansion phase place on right side, discontinuous position among the completion wrapped phase figure from right to left.
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