CN107340703A - The multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram - Google Patents

The multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram Download PDF

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CN107340703A
CN107340703A CN201710474190.4A CN201710474190A CN107340703A CN 107340703 A CN107340703 A CN 107340703A CN 201710474190 A CN201710474190 A CN 201710474190A CN 107340703 A CN107340703 A CN 107340703A
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mrow
mfrac
perspective picture
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CN107340703B (en
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蒋晓瑜
袁泉
苏健
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Academy of Armored Forces Engineering of PLA
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    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/0005Adaptation of holography to specific applications
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/04Processes or apparatus for producing holograms
    • G03H1/0476Holographic printer
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/04Processes or apparatus for producing holograms
    • G03H1/10Processes or apparatus for producing holograms using modulated reference beam
    • G03H1/12Spatial modulation, e.g. ghost imaging
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/02Details of features involved during the holographic process; Replication of holograms without interference recording
    • G03H2001/0208Individual components other than the hologram
    • G03H2001/0224Active addressable light modulator, i.e. Spatial Light Modulator [SLM]
    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/04Processes or apparatus for producing holograms
    • G03H1/0476Holographic printer
    • G03H2001/0482Interference based printer

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  • General Physics & Mathematics (AREA)
  • Holo Graphy (AREA)

Abstract

The invention belongs to holography field, and in particular to a kind of multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram.Technical scheme comprises the steps:The first step, the determination of systematic parameter, the both realization for subsequent algorithm, and the laser printing light path with finally building are closely related;Second step, the sampling of multi-perspective picture, using the simple camera in modeling software, gather the multi-perspective picture of scene;3rd step, the segmentation restructuring of multi-perspective picture, splits reassembly algorithm principle according to multi-perspective picture, extracts and splice the valid pixel in multi-perspective picture, obtains synthesizing multi-perspective picture;4th step, the exposure printing of holographic stereogram, design and build holographic stereogram printing light path, exposure synthesis multi-perspective picture, obtain static holographic stereogram.The present invention is capable of the printing of the holographic stereogram of step completion, and obtains high-resolution reproduction image.

Description

The multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram
Technical field
The invention belongs to holography field, and in particular to the multi-perspective picture segmentation restructuring printing side of synthetic hologram stereogram Method.
Background technology
Holography can provide true Three-dimensional Display effect, be the optimal stereo display technique of application prospect.Holographic stereogram Technology is the characteristics of utilizing resolution of eye limited, holography to be combined with binocular parallax principle, to solve conventional photographic art A kind of holographic technique of this drawback of big data quantity.The general principle of synthetic hologram stereogram Method of printing is that utilization space light is adjusted Device processed, load and project several multi-perspective pictures, respectively with reference to the interference of light, interference fringe exposure to be recorded in the holography of piecemeal On medium, several holographic cells (Hogel) are formed, during the reconstruction of hologram, when the eyes of people are in appropriate location, it will observation To different multi-perspective pictures, so as to produce stereo perception.Static holographic stereogram is at first by the Massachusetts Institute of Technology (MIT) in the U.S. Succeed in developing, be widely used to the fields such as military affairs, business, medical treatment at present.
At present, scholars propose more synthetic hologram stereogram print output system (CN105223795A, Keehoon Hong et al., Resolution enhancement of holographic printer using a Hogel overlapping method, Opt.Express21,14047-14055 (2013);X.W.Rong et al., Multichannel holographic recording method for three-dimensional displays, Appl.Opt.50,77-80 (2011);M.Yamaguchi, Ray-based and wavefront-based holographic Displays for high-density light-field reproduction, SPIE8043 (2011);Wan Yuanhong, etc., A kind of digital implementation of three-dimensional hologram figure, photon journal 39,1268-1271 (2010)), above method can be concluded always Become two classes, one kind is two step transformation approach, i.e., shoots Fresnel hologram motherboard first, then by motherboard reproduction to shifting dry plate, The purpose of motherboard reproduction is to obtain the observing effect that holographic reconstructed image protrudes from holographic recording medium;Another kind of is that MIT makes Infinity camera method, first by multi-perspective picture segmentation combination into parallax picture, then a step printing is carried out, can directly obtained complete Breath reproduction image protrudes from the observing effect of holographic recording medium.Two step transformation approach light paths are complicated, ensureing same observation visual angle When, the size of motherboard need to be much larger than the size of transfer dry plate;The resolution ratio of infinity camera method reproduction image is relatively low, and its resolution ratio is Determined by the hits of multi-perspective picture.
To solve deficiency existing for both the above method, the present invention proposes a kind of new synthetic hologram stereogram printing side The multi-perspective picture segmentation restructuring Method of printing of method, i.e. synthetic hologram stereogram, can either a step complete the printing of holographic stereogram, High-resolution reproduction image can be obtained again.
The content of the invention
, can a step the purpose of the present invention is to propose to a kind of multi-perspective picture of synthetic hologram stereogram segmentation restructuring Method of printing Hologram type is completed, and obtains high-resolution reproduction image.
The present invention is to be based on Ray tracing principle, the taper radiation of trend and human eye sight of the simulated light in communication process Observing effect, recombinated by the segmentation to multi-perspective picture, to extract the pictorial information that certain view can receive, and then obtained Image for step printing.By a certain viewpoint it is observed that image information be used for replace the viewpoint around a square region Full detail in domain, i.e. holographic cell, holographic cell can complete hologram type after exposing line by line.Realize this method When, for convenience of understanding, the equivalent process of two step transformation approach can be envisioned for, needs is directly tried to achieve and prints on transfer dry plate Multi-perspective picture, motherboard are referred to as H1Dry plate, transfer dry plate are H2Dry plate.
The technical scheme is that:The multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram, its feature exist In comprising the steps:
The first step, the determination of systematic parameter.
Determine H1Dry plate, H2The distance of dry plate and spatial light modulator, H1Dry plate and H2The holographic cell number of dry plate and holography The systematic parameters such as unit size, observation visual angle, systematic parameter need and the full-size(d) of spatial light modulator, swashing of finally building The experiment conditions such as light printing light path are corresponding.
Second step, the sampling of multi-perspective picture.
Multi-perspective picture is gathered using the simple camera in modeling software, hits is respectively equal to H with the sampling interval1Dry plate Holographic cell number and holographic cell size, the angle of visual field of camera are equal to H1Of the corresponding multi-perspective picture of holographic cell on dry plate Angle.
3rd step, the segmentation restructuring of multi-perspective picture.
According to Ray tracing principle and systematic parameter, for H2Each holographic cell of dry plate, by what is contributed it Whole multi-perspective picture segmentation restructuring, obtain H2The synthesis multi-perspective picture of each holographic cell of dry plate.
4th step, the exposure printing of holographic stereogram.
Load each width synthesis multi-perspective picture successively to spatial light modulator, carry the object light light beam of pictorial information in H2Dry plate Corresponding position and reference light beam interference, form hologram fringe and be recorded, obtain static holographic stereogram.
The multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram proposed by the invention, its core are visual angle The segmentation reassembly algorithm of picture, compared to traditional synthetic hologram stereogram Method of printing, this method light path is simple, and reproduction image is differentiated Rate is high.
Brief description of the drawings
Implement illustration:
The accompanying drawing of the multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram provided by the invention has 6.
The flow chart of the multi-perspective picture segmentation restructuring Method of printing of Fig. 1 synthetic hologram stereograms.
The schematic diagram of multi-perspective picture segmentation reassembly algorithms of the Fig. 2 based on Ray tracing method.
The schematic diagram of multi-perspective picture samplings of the Fig. 3 based on simple camera method.
The specific implementation algorithm of Fig. 4 multi-perspective pictures segmentation restructuring.
The schematic diagram of the stereoscopic exposure map printing light path of Fig. 5 synthetic holograms.
The optical reproduction effect of Fig. 6 synthetic hologram stereograms.
In Fig. 1~Fig. 5, (1)-H1Dry plate, (2)-LCD screen, (3)-H2Dry plate, (4)-scene, (5)-camera, (6)-light source, (7)-shutter, (8)-polarization splitting prism, (9)-spatial filter, (10)-collimation lens, (11)-diffuse reflecting screen, (12)-hole Footpath diaphragm, (13)-holographic recording medium, (14)-displacement platform, (15)-plane mirror, (16)-computer.
To make the object, technical solutions and advantages of the present invention clearer, below in conjunction with accompanying drawing, to the present invention, " synthesis is complete The multi-perspective picture segmentation restructuring Method of printing of breath stereogram " embodiment is described in further detail.
Fig. 1 is the flow chart of the multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram provided by the invention.Bag Include the determination of systematic parameter, the sampling of multi-perspective picture, the segmentation restructuring of multi-perspective picture and the exposure of holographic stereogram and print four Step.
The first step is the determination of systematic parameter.
Fig. 2 is the schematic diagram that the multi-perspective picture based on Ray tracing method splits reassembly algorithm.For convenience of description, we will stand Body space is simplified to two dimensional surface, defines o-xz coordinate systems as depicted, selects LCDs (LCD) to be adjusted as spatial light Device processed.H is placed in parallel along Z axis1Dry plate (1), LCD screen (2) and H2Dry plate (3), H1Dry plate (1) and the distance of LCD screen (2) are L1, LCD screen (2) and H2The distance of dry plate (3) is L2, it is assumed that H1Dry plate (1) and H2Holographic cell size on dry plate (3) is respectively l1 With l2, H1The observation visual angle that dry plate (1) can be provided is θ, can be obtained for H2Any point of observation O, H on dry plate (3)1Dry plate (1) effective length part lMN, and holographic cell number corresponding to the part, as shown in Fig. 2 having
Corresponding holographic cell number is
If H2The holographic cell number of dry plate (3) is NH2, then H1The holographic cell number of dry plate is
Assuming that the H that point of observation O is faced1The holographic cell of dry plate (1) is Hogel0, and LCD screen (2) corresponding to it is AB Section, it is effective to only have CD parts according to Ray tracing principle, in AB sections, and the partial information can be delivered to O points;Similarly, for Hogel1 below Hogel0, LCD screen (2) corresponding to it are A ' B ' sections, and it is effective to only have DE parts in A ' B ' sections.With such Push away, by H in O point observation visual angles1The live part of dry plate (1) all holographic cells is extracted and is stitched together, and obtains the observation of O points Image, exposure print to H2At holographic cell on dry plate (3) centered on O points, H2The synthesis of dry plate (3) remaining holographic cell Multi-perspective picture is obtained using same way, and above method is referred to as into the multi-perspective picture based on Ray tracing method splits reassembly algorithm.
Second step is the sampling of multi-perspective picture.
Fig. 3 is the schematic diagram of the multi-perspective picture sampling based on simple camera method.Using modeling software collection scene (4) if Dry multi-perspective picture, camera (5) move along camera plane, and camera lens is perpendicular to movement locus photographed scene (4), the sampling interval of camera With H1The holographic cell size of dry plate (1) is consistent, i.e. l1, hits and H1The holographic cell number of dry plate (1) is consistent, i.e. NH1, camera The angle of visual field be θ ', the value should be equal in Fig. 2 LCD screen (2) relative to H1The subtended angle of dry plate (1) holographic cell, lLCDRepresent LCD Shield the size of (2), then have
3rd step is the segmentation restructuring of multi-perspective picture.
Fig. 4 is the specific implementation algorithm of multi-perspective picture segmentation restructuring.For convenience of description, Fig. 4 includes (a), (b) two parts, (a) it is side view along direction of visual lines, (b) is the front view along direction of visual lines, and adds Hogel and correspond to LCD screen (2) Image section, space coordinates o-xyz is established, by H1Dry plate (1) is to H2Dry plate (3) looks over, H1First is complete for dry plate (1) first trip The coordinate of the left upper apex of interest statement member is (0,0,0), and the positive direction of z-axis is perpendicular to H1Dry plate (1) points to H2The side of dry plate (3) To the positive direction of x-axis is along H1Dry plate (1) longitudinal axis and vertically downward direction, the positive direction of y-axis is along H1Dry plate (1) transverse axis and Vertically direction inwards, o-xy planes form left-handed system with z-axis.In Fig. 4 (a), O points represent to be located at H2Some sight of dry plate (3) Examine a little, coordinate value is (x0, y0, z0), human eye sight is that taper is radial, it is assumed that goes to observe H1Holographic cell on dry plate (1) ABCD, when sight passes through LCD screen (2), the scope intercepted in LCD screen (2) is A ' B ' C ' D ', A ' B ' C ' D ' z-axis coordinate value For z1, Fig. 2 is corresponding with Fig. 4, L be present1=| z1|, L2=| z0-z1|.In Fig. 4 (b), holographic cell ABCD, which is located to it, to be projected The center of the LCD screen (2) of multi-perspective picture, the border of multi-perspective picture are designated as A " B " C " D ", and pixel count is N × N.A ' B ' can be obtained Valid pixel part in C ' D ' interceptions A " B " C " D ", similarly extracts H1The valid pixel of dry plate (1) remaining holographic cell, splicing The final observing effect figure of O points is obtained after combination, that is, synthesizes multi-perspective picture.Size and the visual angle that is loaded by LCD screen (2) During the pixel count of picture is certain, then the pixel count in unit length is also to determine, and ABCD and A " B " C " D " is common Heart point, therefore the method for centre of location point can be used to calculate valid pixel part.
H2Dry plate (3) line n, the coordinate difference of m row holographic cells:A(nl1-l1, ml1-l1, 0), B (nl1, ml1-l1, 0), C(nl1, ml1, 0), D (nl1-l1, ml1, 0), center point coordinate isI.e.
By similar triangles, the length of side for obtaining A " B " C " D " is
In xoz planes, straight line OP ' P cross (x0, z0) and2 points, linear equation is: Work as z=z1When,
In yoz planes, straight line OP ' P cross (y0, z0) and2 points, linear equation is: Work as z=z1When,
Therefore, P ' point coordinates is
The x-axis coordinate of known P pointsAnd LCD screen (2) size lLCD, obtain the x-axis coordinate that A " is put
The x-axis coordinate of known P 'AndObtain the x-axis coordinate of A '
A ' are with distances of the A " points in x-axis directionSimilarly, A ' Put and be with the A " distances put in y-axis direction
Spatial value is converted into the pixel coordinate value of multi-perspective picture again, multi-perspective picture is N × N pixels, LCD screen (2) Size is lLCD, then pixel count corresponding to unit length beThe pixel coordinate value for making multi-perspective picture A " put is (1,1), is tried to achieve A ', B ', C ', the pixel coordinate value of D ' each points
By each holographic cell corresponding A ', after the pixel between B ', C ', D ' intercepts and splice, obtain point of observation O (x0, y0, z0) place synthesis multi-perspective picture.
4th step is the exposure printing of synthetic hologram stereogram.
Fig. 5 is the schematic diagram that the stereoscopic exposure map of synthetic hologram prints light path.Load step three obtains successively on to LCD screen (2) The synthesis multi-perspective picture arrived, light source (6) is divided into two-beam after shutter (7) and polarization splitting prism (8), all the way as object light light Beam, after spatial filter (9) and collimation lens (10) irradiate LCD screen (2), object light information after diffuse reflecting screen dissipates (11), Holographic recording medium (13) is irradiated, aperture diaphragm (12) remains stationary in front of holographic recording medium (13), command displacement platform (14), holographic recording medium (13) is driven to be moved respectively along X-axis and Y-axis;Another way passes in succession through plane as reference light light beam After speculum (15), spatial filter (9) and collimation lens (10), it is situated between from the side irradiation holographic recording opposite with object light light beam Matter (13), with object light beam interference, form hologram fringe.Computer (16) while shutter (7), displacement platform (14) are controlled, and Multi-perspective picture is loaded to LCD screen (2).
LCD screen (2) and the distance of holographic recording medium (13) should be equal to L in Fig. 2 when building hologram type light path2Keep one Cause, the moving step length of displacement platform should in Fig. 2 H2The holographic cell size l of dry plate (3)2It is consistent.
It should be noted that because the sampling orientation of multi-perspective picture with the observed bearing of O points is opposite, step 3 obtains Synthesis multi-perspective picture should carry out first level to upset, reload to LCD screen (2).
Fig. 6 is the optical reproduction effect of synthetic hologram stereogram.According to computation model, teapot should protrude from holographic recording Jie Matter (13) 11.4cm position, for clear description, 11.4cm opening position places a graduated scale before holographic recording medium, works as phase When machine focuses on teapot preceding surface, take pictures as shown in Fig. 6 (a), now graduated scale is also clear, when camera focusing holographic recording medium (13) when, take pictures as shown in Fig. 6 (b), now holographic recording medium (13) is clear.
The foregoing is only presently preferred embodiments of the present invention, be not intended to limit the invention, it is all the present invention spirit and Within principle, any modification, equivalent substitution and improvements made etc., it should be included in the scope of the protection.

Claims (3)

1. the multi-perspective picture segmentation restructuring Method of printing of a kind of synthetic hologram stereogram, it is characterised in that comprise the steps:
The first step, the determination of systematic parameter:
Two step transformation approach in analog synthesis holography stereogram Method of printing, should determine systematic parameter first, and motherboard, spatial light are adjusted Device processed is placed in parallel respectively with transfer dry plate, and the distance of motherboard and spatial light modulator is L1, spatial light modulator and transfer are dry The distance of plate is L2, analyzed by taking longitudinal size as an example, the size of spatial light modulator is lLCD, motherboard is with shifting on dry plate The size of holographic cell is respectively l1With l2, for any point of observation on transfer dry plate, the observation visual angle that motherboard can be provided is θ, the length of motherboard live part areHolographic cell number is corresponding to live partTransfer is dry The holographic cell number of plate is NH2, the holographic cell number of motherboard is
Second step, the sampling of multi-perspective picture:
Using the multi-perspective picture of modeling software collection scene, camera is moved along camera plane, and camera lens is shot perpendicular to movement locus Scene, the sampling interval of camera is l1, hits NH1, the angle of visual field of camera is
3rd step is the segmentation restructuring of multi-perspective picture;
Space coordinates o-xyz is established, is looked from motherboard to transfer dry plate, the left upper apex of first holographic cell of motherboard first trip is sat It is designated as (0,0,0), the positive direction of z-axis is perpendicular to the direction that motherboard points to transfer dry plate, and the positive direction of x-axis is along the motherboard longitudinal axis And vertically downward direction, the positive direction of y-axis are to be formed with z-axis left along motherboard transverse axis and vertical direction inwards, o-xy planes Hand system;
The coordinate value for shifting point of observation on dry plate is (x0, y0, z0), the radial sight of taper goes to observe the holographic cell on motherboard ABCD, it is A ' B ' C ' D ' that sight, which passes through and the scope of spatial light modulator is intercepted during spatial light modulator, the z-axis of spatial light modulator Coordinate value is z1, holographic cell ABCD be located to it project multi-perspective picture spatial light modulator center, multi-perspective picture Scope is A " B " C " D ", and pixel count is N × N, and the valid pixel portion in each multi-perspective picture is calculated using the method for centre of location point Point;
Motherboard line n, the apex coordinate of m row holographic cells are:A(nl1-l1, ml1-l1, 0), B (nl1, ml1-l1, 0), C (nl1, ml1, 0), D (nl1-l1, ml1, 0), the center point coordinate of holographic cell is
A ' B ' C ' D ' the length of side isA ' B ' C ' D ' center point coordinate is
By the x-axis coordinate of P pointsAnd the size l of spatial light modulatorLCD, obtaining the x-axis coordinate that A " is put is
By the x-axis coordinate of P 'AndObtain the x-axis coordinate of A '
A ' are with distances of the A " points in x-axis direction
A ' are with distances of the A " points in y-axis direction
Spatial value is converted into the pixel coordinate value of multi-perspective picture, pixel count corresponding to spatial light modulator unit length isThe pixel coordinate value for making multi-perspective picture A " put is (1,1), then A ', B ', C ', the pixel coordinate value of D ' each points are
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<mrow> <msup> <mi>B</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mo>(</mo> <mo>|</mo> <mfrac> <msub> <mi>z</mi> <mn>1</mn> </msub> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>(</mo> <mrow> <msub> <mi>x</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>nl</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>l</mi> <mn>1</mn> </msub> </mrow> <mo>)</mo> <mo>-</mo> <mfrac> <msub> <mi>l</mi> <mn>1</mn> </msub> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> <mn>2</mn> </mfrac> <mo>|</mo> <mo>&amp;times;</mo> <mfrac> <mi>N</mi> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>z</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>z</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>&amp;times;</mo> <mfrac> <mrow> <msub> <mi>Nl</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>,</mo> <mo>|</mo> <mfrac> <msub> <mi>z</mi> <mn>1</mn> </msub> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>(</mo> <mrow> <msub> <mi>y</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>ml</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>l</mi> <mn>1</mn> </msub> </mrow> <mo>)</mo> <mo>-</mo> <mfrac> <msub> <mi>l</mi> <mn>1</mn> </msub> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> <mn>2</mn> </mfrac> <mo>|</mo> <mo>&amp;times;</mo> <mfrac> <mi>N</mi> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mn>1</mn> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
<mrow> <msup> <mi>C</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mo>(</mo> <mo>|</mo> <mfrac> <msub> <mi>z</mi> <mn>1</mn> </msub> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>(</mo> <mrow> <msub> <mi>x</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>nl</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>l</mi> <mn>1</mn> </msub> </mrow> <mo>)</mo> <mo>-</mo> <mfrac> <msub> <mi>l</mi> <mn>1</mn> </msub> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> <mn>2</mn> </mfrac> <mo>|</mo> <mo>&amp;times;</mo> <mfrac> <mi>N</mi> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>z</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>z</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>&amp;times;</mo> <mfrac> <mrow> <msub> <mi>Nl</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>,</mo> <mo>|</mo> <mfrac> <msub> <mi>z</mi> <mn>1</mn> </msub> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>(</mo> <mrow> <msub> <mi>y</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>ml</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>l</mi> <mn>1</mn> </msub> </mrow> <mo>)</mo> <mo>-</mo> <mfrac> <mi>l</mi> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> <mn>2</mn> </mfrac> <mo>|</mo> <mo>&amp;times;</mo> <mfrac> <mi>N</mi> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>z</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>z</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>&amp;times;</mo> <mfrac> <mrow> <msub> <mi>Nl</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>)</mo> </mrow> <mo>,</mo> </mrow>
<mrow> <msup> <mi>D</mi> <mo>&amp;prime;</mo> </msup> <mrow> <mo>(</mo> <mo>|</mo> <mfrac> <msub> <mi>z</mi> <mn>1</mn> </msub> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>(</mo> <mrow> <msub> <mi>x</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>nl</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>l</mi> <mn>1</mn> </msub> </mrow> <mo>)</mo> <mo>-</mo> <mfrac> <msub> <mi>l</mi> <mn>1</mn> </msub> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>L</mi> <mi>D</mi> </mrow> </msub> <mn>2</mn> </mfrac> <mo>|</mo> <mo>&amp;times;</mo> <mfrac> <mi>N</mi> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mn>1</mn> <mo>,</mo> <mo>|</mo> <mfrac> <msub> <mi>z</mi> <mn>1</mn> </msub> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>(</mo> <mrow> <msub> <mi>y</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>ml</mi> <mn>1</mn> </msub> <mo>+</mo> <msub> <mi>l</mi> <mn>1</mn> </msub> </mrow> <mo>)</mo> <mo>-</mo> <mfrac> <msub> <mi>l</mi> <mn>1</mn> </msub> <mn>2</mn> </mfrac> <mo>+</mo> <mfrac> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> <mn>2</mn> </mfrac> <mo>|</mo> <mo>&amp;times;</mo> <mfrac> <mi>N</mi> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>+</mo> <mfrac> <mrow> <msub> <mi>z</mi> <mn>0</mn> </msub> <mo>-</mo> <msub> <mi>z</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>z</mi> <mn>0</mn> </msub> </mfrac> <mo>&amp;times;</mo> <mfrac> <mrow> <msub> <mi>Nl</mi> <mn>1</mn> </msub> </mrow> <msub> <mi>l</mi> <mrow> <mi>L</mi> <mi>C</mi> <mi>D</mi> </mrow> </msub> </mfrac> <mo>)</mo> </mrow> <mo>;</mo> </mrow>
After pixel corresponding to each holographic cell between A ', B ', C ', D ' is intercepted and spliced, point of observation (x is obtained0, y0, z0) place Synthesis multi-perspective picture;
4th step is the exposure printing of holographic stereogram;
Build holographic stereoscopic exposure map printing light path, the distance of spatial light modulator and holographic recording medium is equal to L2, displacement platform Moving step length be equal to l2, synthesize after multi-perspective picture answers flip horizontal and reload to spatial light modulator.
2. a kind of multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram as claimed in claim 1, its feature exist In spatial light modulator both can be LCDs or digital micromirror elements, can also be liquid crystal on silicon.
3. a kind of multi-perspective picture segmentation restructuring Method of printing of synthetic hologram stereogram as claimed in claim 1, its feature exist In multi-perspective picture both can be multi-perspective picture or the utilization for shooting to obtain using camera to actual 3 D stereo object The multi-perspective picture that computer is rendered to obtain to virtual three-dimensional model.
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