CN106878692A - A kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum - Google Patents

A kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum Download PDF

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Publication number
CN106878692A
CN106878692A CN201710025183.6A CN201710025183A CN106878692A CN 106878692 A CN106878692 A CN 106878692A CN 201710025183 A CN201710025183 A CN 201710025183A CN 106878692 A CN106878692 A CN 106878692A
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dimensional
fourier spectrum
displaying
projection
unobstructed
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CN106878692B (en
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王琼华
邢妍
熊召龙
邓欢
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Sichuan University
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Sichuan University
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    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N9/00Details of colour television systems
    • H04N9/12Picture reproducers
    • H04N9/31Projection devices for colour picture display, e.g. using electronic spatial light modulators [ESLM]
    • H04N9/3141Constructional details thereof
    • H04N9/3147Multi-projection systems
    • G06T3/16
    • G06T5/80
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N13/00Stereoscopic video systems; Multi-view video systems; Details thereof
    • H04N13/20Image signal generators
    • H04N13/275Image signal generators from 3D object models, e.g. computer-generated stereoscopic image signals
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N13/00Stereoscopic video systems; Multi-view video systems; Details thereof
    • H04N13/30Image reproducers
    • H04N13/302Image reproducers for viewing without the aid of special glasses, i.e. using autostereoscopic displays
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N13/00Stereoscopic video systems; Multi-view video systems; Details thereof
    • H04N13/30Image reproducers
    • H04N13/363Image reproducers using image projection screens
    • HELECTRICITY
    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04NPICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N9/00Details of colour television systems
    • H04N9/12Picture reproducers
    • H04N9/31Projection devices for colour picture display, e.g. using electronic spatial light modulators [ESLM]
    • H04N9/3179Video signal processing therefor

Abstract

The invention discloses a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum, it includes two processes of the map generalization of unobstructed rectangular projection parallax and the reconstruction of 3-D view.The method is a series of with the raster graphic for determining function representation to three-dimensional scene projection using projector array, unobstructed rectangular projection anaglyph is recovered by building image analysis algorithm for reconstructing, and then shown using integration imaging, the complete reproduction of the three-dimensional scenic that realization is blocked, the number of times of the method projection simultaneously is few, device is simple, it is easy to accomplish.

Description

A kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum
Technical field
The present invention relates to integration imaging technology, more particularly to a kind of three-dimensional body display side that is blocked based on Fourier spectrum Method.
Background technology
A kind of naked eye three-dimensional technology of integration imaging, can reconstruct three-dimensional scenic to parallax and authentic color entirely, and it is divided into Shoot and two processes of display.During shooting, the parallax information of three-dimensional scenic is obtained using video camera array, generate micro- image battle array Row;During display, micro- pattern matrix, according to light path principle, three is gone out in viewing space reconstruction by corresponding microlens array Dimension scene.
In three-dimensional scenic, there is the situation that target object is blocked by barrier sometimes, as shown in Figure 1.According to Conventional integration imaging technology cannot then reconstruct the complete steric information of the object, so that greatly influence stereoscopic display effect Really.For the removal of shelter, it has been disclosed that solution only for the three-dimensional body that is blocked of part effectively, work as target object When being blocked completely, such scheme will be difficult to high-quality Three-dimensional Display effect.
The content of the invention
It is contemplated that realizing the complete display of three-dimensional body blocked completely in existing integration imaging.
To reach above-mentioned purpose, the present invention proposes a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum.Institute Stating method includes two processes of the map generalization of unobstructed rectangular projection parallax and the reconstruction of 3-D view.Unobstructed rectangular projection is regarded Difference map generalization process, using projector array to a series of raster graphics of three-dimensional scene projection, using preposition scattering medium Imageing sensor obtain cannot resolution target object information image, it is raw by calculating the Fourier spectrum of rectangular projection disparity map Into the orthogonal parallax information that elimination is blocked;The process of reconstruction of 3-D view, it is unobstructed by what is recovered using vector rendering intent Rectangular projection anaglyph is woven into the micro- pattern matrix of integration imaging and shows on a display screen, by microlens array, realizes three Tie up the display of scene.
The generating process of the unobstructed rectangular projection disparity map, using projector array projecting structural optical to three-dimensional scenic Surface, by building image analysis algorithm for reconstructing, recovers the orthogonal parallax information that the elimination of different angles is blocked.In projector In array,P×QPlatform digital projector is respectively with different angles and sequential to three-dimensional scenic surface projectionfloor(M×N×2×k%) amplitude grating figure (wherein, scale factork=0,1 ..., 100), three-dimensional scenic is modulated to raster graphic, by hiding Block material scattering medium, obtains the light intensity letter from the deformed grating figure modulated by three-dimensional scenic successively on the image sensor Number.The a series of images obtained from sensor cannot observe directly any information of target object, only receive scattering Optical signal.The projected light gate figure, at the beginning of being the sinusoidal grating of the phase shift intervals such as different frequency, 4 steps, adjacent sinusoidal grating Phase difference isπ/2.When (p,q) platform projector projection frequency for (f x ,f y ) sinusoidal grating figureWhen, Sinusoidal grating figure is represented by:
(1)
Wherein,xyIt is the pixel point coordinates of raster graphic,x=0,1 ...,M- 1,y=0,1 ...,N- 1,A p, q (x,y) background intensity is represented,B p, q (x, y)/A p, q (x, y) it is fringe contrast, initial phaseσ=0,π/ 2,π, 3π/ 2,p=0, 1 ...,P- 1,q=0,1 ...,Q- 1,f x =0,1/M..., (0.1 ×M×k 1/2- 1)/M,f y =0,1/N..., (0.1×N×k 1/2- 1)/N.The total light intensity of the image that imageing sensor is receivedAnd then can be in the hope of:
(2)
Wherein,H p, q Represent ambient noise,R p, q (x, y) it is the uneven reflectivity in three-dimensional scenic surface.Due to a frequency (f x , f y ) correspondence four width difference initial phase sinusoidal grating figure, therefore imageing sensor be sequentially received four come from by three The light intensity signal of the deformed grating figure of dimension scene modulation, so as to obtain 4 total light intensity values.According to formula:
(3)
Calculate and obtain the (p, q) on width rectangular projection disparity map frequency spectrum (f x , f y ) Fourier coefficient at positionF p, q (f x ,f y ).During Fourier spectrum is calculated, ambient noiseH p, q To be completely eliminated.To the Fourier spectrum for obtainingF p, q (f x ,f y ) carry out inverse Fourier transform and try to achieve the uneven reflectivity in three-dimensional scenic surfaceR p, q (x, y), and then reconstruct (p, q) Orthogonal anaglyphf p, q (x, y), it is represented by:
(4)
(5)
In the present invention, the orthogonal anaglyph of reconstructionf p, q (x, y) can be observed to remove the three-dimensional scene information blocked.
The process of reconstruction of the 3-D view, by what is obtainedP×QUnobstructed orthogonal anaglyphf p, q (x, y) close As micro- pattern matrix, integration imaging Three-dimensional Display is carried out using microlens array.Micro- pattern matrix horizontal direction pixel Number isP×M, vertical direction pixel number isQ×N.Assuming thatE(i, j) represent on micro- pattern matrix theiRowjThe picture of row Element, then micro- pattern matrixE(i, j) with orthogonal anaglyphf p, q (x, y) meet:
(6)
Wherein:
(7)
(8)
(9)
(10)
The micro- pattern matrix that will synthesizeE(i, j) show on a display screen, by microlens array above, then can be micro- Complete three-dimensional scene information is watched in lens array front and back, so that the high-quality of three-dimensional scenic of realizing being blocked completely shows.
According to a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum proposed by the present invention, by with determination The raster graphic of mathematical function expression, builds image analysis algorithm for reconstructing and recovers high-quality rectangular projection anaglyph, enters And the complete reproduction of the three-dimensional scenic being blocked using integration imaging Display Realization, while methods described projection number of times is few, device Simply, it is easy to accomplish.
In addition, may be used also according to a kind of present invention method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum set forth above With with following additional technical characteristic:
Further, every projector in the projector array is independently arranged, and is equidistantly arranged between neighboring projectors.
Further, the acquisition of the rectangular projection anaglyph correspondence Fourier spectrum, can only obtain Fu of low frequency part In leaf system number, to reduce the projection number of times of structure light.
The additional aspect of the present invention and advantage will be set forth in part in the description, or be understood by practice of the invention Arrive.
Brief description of the drawings
Of the invention foregoing and additional aspect and advantage is incited somebody to action from the detailed description of following combination accompanying drawings and embodiment Further to define and be readily appreciated that, wherein:
The schematic diagram that Fig. 1 is blocked for target object in three-dimensional scenic.
Fig. 2 is a kind of flow chart of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum proposed by the present invention.
Fig. 3 is installation drawing of the projector array to three-dimensional scene projection.
Fig. 4 is the schematic diagram that single projector projects sine grating pattern.
Fig. 5 is the partial orthogonality anaglyph of reconstruction in embodiment.
Fig. 6 is the schematic diagram that integration imaging shows.
Fig. 7 is the three-dimensional scenic reproduced in different depth plane in embodiment.
Shown by reference numeral in above-mentioned accompanying drawing is:
1 three-dimensional scenic, 2 shelters, 3 video camera arrays, 4 projector arrays, 5 imageing sensors, 6 raster graphics, 7 projectors, 8 Display screen, 9 microlens arrays, 10 three-dimensional scenics rebuild, 11 beholders.
It should be appreciated that above-mentioned accompanying drawing is schematical, it is not drawn to draw.
Specific embodiment
It is described below in detail the one of a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum proposed by the present invention Individual exemplary embodiments, the example of the embodiment is shown in the drawings.Be necessary it is pointed out here that, the embodiments described below It is exemplary, it is intended to which the present invention will be further explained, and it is not intended that limiting the scope of the invention, the neck Field technique skilled person makes some nonessential modifications and adaptations to the present invention according to foregoing present invention, still falls within this hair Bright protection domain.
A kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum proposed by the present invention is described with reference to the accompanying drawings. Referring to the drawings 2, idiographic flow of the invention is as follows:
In the generating process of unobstructed rectangular projection disparity map, referring to the drawings shown in 3,8 × 8 digital projections of computer simulation Machine is respectively with different angles and sequential to the amplitude grating figure of three-dimensional scenic surface projection 200 × 200 × 2 × 40%(I.e.P=8,Q =8,M=200,N=200,k= 40), three-dimensional scenic is modulated to raster graphic, by shelter frosted glass, in phase The light intensity signal from the deformed grating figure modulated by three-dimensional scenic is obtained on machine successively.Every projector's projected light grid figure Shape, is the sinusoidal grating of the phase shift intervals such as different frequency, 4 steps, and the initial phase difference of adjacent sinusoidal grating isπ/ 2, referring to the drawings 4 institutes Show.When (p, q) platform projector projection frequency for (f x , f y ) sinusoidal grating figureWhen, sinusoidal light Gate figure is represented by formula(1), wherein,x=0,1 ..., 199,y=0,1 ..., 199,σ=0,π/ 2,π, 3π/ 2,p = 0,1 ..., 7,q=0,1 ..., 7,f x =0,1/200 ..., 125/200,f y =0,1/200 ..., 125/200,A p, q (x,y)=127.5,B p, q (x, y) = 127.5.The total light intensity on image that camera is receivedCan be by formula(2) Try to achieve.Due to a frequency (f x , f y ) correspondence 4 width difference initial phase sinusoidal grating figure, therefore camera is sequentially received four The individual light intensity signal from the deformed grating figure modulated by three-dimensional scenic, so as to obtain 4 total light intensity values.Using formula(3)Can try to achieve (p, q) on width rectangular projection disparity map frequency spectrum (f x , f y ) Fourier coefficient at positionF p, q (f x , f y ).To the Fourier spectrum for obtainingF p, q (f x , f y ) to carry out Fourier inverse Conversion, i.e. formula(4), can be in the hope of the uneven reflectivity in three-dimensional scenic surfaceR p, q (x, y), and then by formula(5)Reconstruction is gone out Except block (p, q) an orthogonal anaglyph.The partial orthogonality anaglyph for obtaining is rebuild in the specific embodiment of the inventionf 3, 0(x, y) andf 3, 7(x, y) referring to the drawings shown in 5.
In the process of reconstruction of 3-D view, principle is referring to the drawings shown in 6.8 × 8 unobstructed orthogonal parallaxes that will be obtained Image, according to formula(6)-(10)Synthesizing micro- pattern matrix, micro- pattern matrix horizontal direction number of pixels is 8 × 200= 1600, vertical direction pixel number is 8 × 200=1600.It is displayed in not using the Automated library system imaging three-dimensional based on depth The three-dimensional scenic of unobstructed carrying complete information is reconstructed with depth plane, referring to the drawings shown in 7.
According to a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum proposed by the present invention, by with determination The raster graphic of mathematical function expression, builds image analysis algorithm for reconstructing and recovers high-quality rectangular projection anaglyph, enters And the complete reproduction of the three-dimensional scenic being blocked using integration imaging Display Realization, while methods described projection number of times is few, device Simply, it is easy to accomplish.
Further, in a particular embodiment of the present invention, every projector in simulated projections machine array is independently arranged, Equidistantly arranged between neighboring projectors, spacing is 12.7cm.
Further, in a particular embodiment of the present invention, for the generation of each orthogonal anaglyph, correspondence is only obtained The Fourier coefficient of 40% spectrum point in Fourier spectrum, that is, it is 200 × 200 × 2 × 40%=32000 to project sinusoidal grating sum.

Claims (6)

1. a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum, it is characterised in that methods described includes unobstructed Two processes of the map generalization of rectangular projection parallax and the reconstruction of 3-D view:The generating process of unobstructed rectangular projection disparity map, Using projector array to a series of raster graphics of three-dimensional scene projection, nothing is obtained using the imageing sensor of preposition scattering medium The image of method resolution target object information, by calculating the Fourier spectrum of rectangular projection disparity map, it is orthogonal that generation elimination is blocked Parallax information, carries out the reconstruction of 3-D view afterwards, the unobstructed rectangular projection parallax that will be recovered using vector rendering intent Image is woven into the micro- pattern matrix of integration imaging and shows on a display screen, by microlens array, realizes unobstructed three dimensional field Scape shows.
2. a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum according to claim 1, it is characterised in that In the generating process of unobstructed rectangular projection disparity map,P×QPlatform digital projector is respectively with different angles and sequential to three dimensional field Scape surface projectionfloor(M×N×2×k%) amplitude grating figure (wherein, scale factork=0,1 ..., 100), three-dimensional scenic Raster graphic is modulated, by shelter scattering medium, is obtained to come from successively on the image sensor and is adjusted by three-dimensional scenic The light intensity signal of the deformed grating figure of system.
3. a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum according to claim 1 and claim 2, Characterized in that, the raster graphic for using, at the beginning of being the sinusoidal grating of the phase shift intervals such as different frequency, 4 steps, adjacent sinusoidal grating Phase difference isπ/ 2, when (p, q) platform projector projection frequency for (f x , f y ) sinusoidal grating figure When, light intensity letter of four for being sequentially received in the hope of imageing sensor from the deformed grating figure modulated by three-dimensional scenic Number, so as to obtain four total light intensity values, using four total light Intensity values calculate and obtain the (p, q) on width rectangular projection disparity map frequency spectrum (f x , f y ) Fourier coefficient at positionF p, q (f x ,f y ), to the Fourier spectrum for obtainingF p, q (f x , f y ) carry out inverse Fourier transform and try to achieve the uneven reflectivity in three-dimensional scenic surfaceR p, q (x, y), and then reconstruct that removal blocks the (p, q) an orthogonal anaglyphf p, q (x, y)。
4. a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum according to claim 1, it is characterised in that In the process of reconstruction of 3-D view, by what is obtainedP×QUnobstructed orthogonal anaglyphf p, q (x, y) synthesize micro- image Array, micro- pattern matrix horizontal direction number of pixels isP×M, vertical direction pixel number isQ×N, it is assumed thatE(i, j) Represent on micro- pattern matrixiRowjThe pixel of row, then micro- pattern matrixE(i, j) with orthogonal anaglyphf p, q (x, y) Meet:, wherein:,,,, the micro- pattern matrix that will synthesizeE(i, j) show on a display screen, by lenticule battle array above Row, complete three-dimensional scene information is shown in microlens array front and back.
5. a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum according to claim 1, it is characterised in that Every projector in the projector array is independently arranged, and is equidistantly arranged between neighboring projectors.
6. a kind of method for displaying three-dimensional object thereby that is blocked based on Fourier spectrum according to claim 1, it is characterised in that The acquisition of the rectangular projection anaglyph correspondence Fourier spectrum, can only obtain the Fourier coefficient of low frequency part.
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