CN104123754A - Solid-state volumetric type true three-dimensional depth anti-aliasing algorithm - Google Patents

Solid-state volumetric type true three-dimensional depth anti-aliasing algorithm Download PDF

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CN104123754A
CN104123754A CN201410345915.6A CN201410345915A CN104123754A CN 104123754 A CN104123754 A CN 104123754A CN 201410345915 A CN201410345915 A CN 201410345915A CN 104123754 A CN104123754 A CN 104123754A
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layer
voxel
depth
dimensional
brightness value
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CN104123754B (en
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方勇
张应松
吕国强
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Hefei University of Technology
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Abstract

The invention discloses a solid-state volumetric type true three-dimensional depth anti-aliasing algorithm. The to-be-displayed voxels of the depth between adjacent two layers of display bodies are decomposed into three or four component voxels to be respectively distributed on three or four adjacent display bodies according to the algorithm, so that the number of component voxels is increased, the RGB (Red Green Blue) luminance of every voxel to be displayed is decomposed on many related display bodies, the RGB luminance value of every voxel and the distance of the display bodies are in a linear inverse relationship, and the sum of RGB luminance values is equal to twice of RGB luminance values of the voxels to be displayed. The off-axis observation angle of three-dimensional images in the depth continuous condition is enlarged. Compared with the prior art, the sum of the RGB luminance values of the component voxels decomposed from every voxel to be displayed is doubled, so that the display brightness is effectively enhanced.

Description

The anti-sawtooth algorithm of the true three dimensional depth of a kind of solid-state volume type
Technical field
The present invention relates to solid-state volume type real tri-dimension display technique, relate in particular to the anti-sawtooth algorithm of the true three dimensional depth of a kind of solid-state volume type.
Background technology
The true 3-D display of solid-state volume type be by the sectioning image sequence of one group of three-dimensional body by high speed projection arrangement successively sequential projection to one group of stacked demonstration body of the corresponding degree of depth, thereby by stacked demonstration body, the high speed under transparent and scattering two states is switched at three dimensions and is produced the stereo-picture with the actual physical degree of depth.
If the sectioning image sequence of three-dimensional body is without processing, directly be presented on the demonstration body of the corresponding degree of depth, although can generate stereo-picture, as long as viewed off-axis angle is slightly large, stereo-picture is watched stacking just as one group of two dimensional image rather than a continuous three-dimensional body.Therefore, the sectioning image sequence of three-dimensional body must be through certain algorithm process on depth direction, eliminates or weakens this defects of vision.A kind of technology that is called the anti-sawtooth of multilayer (multiplanaranti-aliasing) that adopted in the DepthCube real three-dimensional display system of the anti-sawtooth algorithm Jin You of the degree of depth U.S. Lightspace company exploitation that at present solid-state volume type very adopts in three-dimensional.For thering is N layer (being numbered the 0th layer to N-1 layer), show body, the dimensional resolution of display space is the solid-state volume type real three-dimensional display system of X * Y * (D * (N-1)) (D is the depth resolution between any two-layer demonstration body), the degree of depth is positioned to L (0≤L≤N-2) layer to the anti-sawtooth technology of multilayer and L+1 layer shows between body, three-dimensional coordinate is (x, y, D * L+d) (0≤x ﹤ X, 0≤y ﹤ Y, 0≤d ﹤ D), RGB brightness value is the voxel P to be shown of B, when showing with being positioned at L layer, on this continuous 2 layers of demonstration body of L+1 layer, three-dimensional coordinate is respectively (x, y, D * L), (x, y, D * (L+1)) 2 component voxel P1, P2 equivalent substitution, and P1, the RGB brightness value B of P2 p1, B p2be respectively:
B P1=B×(1-d/D)
B P2=B×(d/D)
The anti-sawtooth technology of multilayer is to utilize the stereoscopic vision characteristic of human eye: observer receives object transmitting or the amount of light of reflection and the distance of observer and object and is inversely proportional to, and people often think that brighter object distance is nearer.In the processing of the anti-sawtooth technology of multilayer, the degree of depth is broken down into 2 component voxels at 2 layers of RGB brightness value that shows the voxel to be shown between body, when actual displayed, with the component voxel being positioned on this two-layer demonstration body, replaces.Synthetic effect while showing by component voxel, observer can experience the original degree of depth of voxel to be shown and monochrome information.
By adopting the anti-sawtooth technology of multilayer, under larger viewed off-axis angle, the three-dimensional body of imaging is excessive smoother and continuous depth direction.But this only limits to three-dimensional body the situation of larger continuous shape at in-plane.If three-dimensional body is less the continuous shape of in-plane, when viewed off-axis angle is slightly large, depth direction can produce discontinuous sense again, and the anti-sawtooth technology of multilayer no longer works.
In addition the RGB brightness value B that, in the anti-sawtooth technology of multilayer, the RGB brightness value sum of component voxel is voxel to be shown.And the brightness that a difficult problem of the true 3-D display of solid-state volume type is demonstration image is dispersed aspect the degree of depth, compares plane and show that 3-D view brightness is much lower.How to improve display brightness is a technical bottleneck always.
Summary of the invention
The object of the invention is to provide the anti-sawtooth algorithm of the true three dimensional depth of a kind of solid-state volume type, to solve the anti-sawtooth algorithm of the existing degree of depth when the less three-dimensional body of the continuous shape of display plane direction, viewed off-axis angle will can produce the problem of discontinuous sense again at depth direction slightly greatly, can effectively improve true three-dimensional imaging brightness simultaneously.
In order to achieve the above object, the technical solution adopted in the present invention is:
The anti-sawtooth algorithm of the true three dimensional depth of solid-state volume type, described solid-state volume type real three-dimensional display system has N layer (being numbered the 0th layer to N-1 layer) and shows that body, its dimensional resolution are X * Y * (D * (N-1)) (D is the depth resolution between any two-layer demonstration body); It is characterized in that: described anti-sawtooth algorithm is the voxel to be shown between any two-layer adjacent demonstration body by the degree of depth in solid-state volume type real three-dimensional display system, be decomposed into 3 (or 4) component voxels that are distributed in respectively on 3 (or 4) adjacent demonstration bodies, specific as follows:
(1), for the degree of depth the 0th layer and the 1st layer, show between body, three-dimensional coordinate is (x, y, d) (0≤x ﹤ X, 0≤y ﹤ Y, 0≤d ﹤ D), the RGB brightness value voxel P to be shown that is B, when showing with 3 component voxel P1, P2, P3 equivalent substitution, 3 described component voxel P1, P2, P3 lays respectively at the 0th layer, and the 1st layer, the 2nd layer continuous 3 layers show on body, three-dimensional coordinate is respectively (x, y, 0), (x, y, D), (x, y, 2D), RGB brightness value is respectively B * (1/2+3 * (D-d)/2D), B * (d/D), B * (d/2D);
(2), for the degree of depth, be positioned between M (1≤M≤N-3) layer and M+1 layer demonstration body, three-dimensional coordinate is (x, y, D * M+d) (0≤x ﹤ X, 0≤y ﹤ Y, 0≤d ﹤ D), RGB brightness value is the voxel P to be shown of B, while showing with 4 component voxel P1, P2, P3, P4 equivalent substitution, 4 described component voxel P1, P2, P3, P4 lays respectively at M-1 layer, M layer, M+1 layer, on the continuous 4 layers of demonstration body of M+2 layer, three-dimensional coordinate is respectively (x, y, D * (M-1)), (x, y, D * M), (x, y, D * (M+1)), (x, y, D * (M+2)), RGB brightness value is respectively B * (1-(d+D)/3D), B * (1-d/D), B * (d/D), B * ((d+D)/3D),
(3) for the degree of depth, at N-2 layer and N-1 layer, show between body, three-dimensional coordinate is (x, y, D * (N-2)+d) (0≤x ﹤ X, 0≤y ﹤ Y, 0≤d ﹤ D), RGB brightness value is the voxel P to be shown of B, when showing with 3 component voxel P1, P2, P3 equivalent substitution, 3 described component voxel P1, P2, P3 lays respectively at N-3 layer, N-2 layer, on the continuous 3 layers of demonstration body of N-1 layer, three-dimensional coordinate is respectively (x, y, D * (N-3)), (x, y, D * (N-2)), (x, y, D * (N-1)), RGB brightness value is respectively B * ((D-d)/2D), B * ((D-d)/D), B * (2-3 * (D-d)/2D).
Above-mentioned voxel to be shown refers to from graphics sources and is transferred to solid-state real three-dimensional display system, waits voxel to be shown, and its packet has contained RGB brightness value and three-dimensional coordinate two parts.
Above-mentioned component voxel refers to that by voxel to be shown, carrying out the decomposition of RGB brightness value produces, be positioned at show on body can actual displayed voxel.
Compared with prior art, beneficial effect of the present invention is:
1, each voxel to be shown is shown on body and carries out the decomposition of RGB brightness value in more heterogeneous pass, increased the quantity of component voxel, increased the viewed off-axis angle of 3-D view under the degree of depth condition of continuity.
Compared to the prior art being doubled of the RGB brightness value of the component voxel that 2, each voxel to be shown decomposes, has effectively promoted display brightness.
Accompanying drawing explanation
Fig. 1 is solid-state volume type real three-dimensional display system display space three-dimensional coordinate schematic diagram in the present invention;
Fig. 2 is a three-view diagram that shows the 3-D view of body in the present invention;
Fig. 3 is the component distribution schematic diagram while using the anti-sawtooth algorithm of prior art multilayer;
Fig. 4 is the component distribution schematic diagram while using the anti-sawtooth algorithm of the degree of depth of the present invention.
Embodiment
Below in conjunction with embodiment and accompanying drawing, the present invention is further elaborated.
In the present embodiment, solid-state volume type real three-dimensional display system has 20 layers of demonstration body (being numbered the 0th layer to the 19th layer), i.e. N=20.Display space dimensional resolution is 1024 * 768 * 608, and any 2 layers show depth resolution D=32 between body.
As shown in Figure 1, solid-state volume type real three-dimensional display system has 20 layers of liquid crystal light valve, display space dimensional resolution 1024 * 768 * 608 refers to that directions X (column direction) has 1024 voxel resolution, Y-direction (line direction) has 768 voxel resolution, and direction (depth direction) has 608 voxel resolution.The demonstration body that is numbered i (0≤i≤19) layer, on Z axis, depth coordinate is 32i.
Be illustrated in figure 2 the three-view diagram of a 3-D view to be shown of solid-state volume type real three-dimensional display system.This 3-D view is a cone, and on the Z axis of place, cone bottom surface, depth coordinate is 0, and on the Z axis of place, summit, depth coordinate is 607.
Be illustrated in figure 3 the component distribution situation of voxel to be shown on demonstration body while using the anti-sawtooth algorithm of existing multilayer.Visible, each voxel to be shown between two-layer adjacent demonstration body is broken down into 2 component voxels, is distributed in respectively on these two adjacent demonstration bodies.When observer's viewed off-axis angle is α, the component voxel of the 3-D view of watching has non-continuous event, and image produces fracture sense at depth direction.
If Fig. 4 is the component distribution situation of voxel to be shown on demonstration body while using the anti-sawtooth algorithm of the degree of depth of the present invention.
For shown cone, the degree of depth is positioned at M (1≤M≤17) layer and M+1 layer shows between body, three-dimensional coordinate is (x, y, D * M+d) (0≤x ﹤ 1024, 0≤y ﹤ 768, 0≤d ﹤ 32), RGB brightness value is the voxel P to be shown of B, when showing with being positioned at M-1 layer, M layer, M+1 layer, on this continuous 4 layers of demonstration body of M+2 layer, three-dimensional coordinate is respectively (x, y, 32 * (M-1)), (x, y, 32 * M), (x, y, 32 * (M+1)), (x, y, 32 * (M+1)) 4 component voxel P1, P2, P3, P4 equivalent substitution, and P1, P2, P3, the RGB brightness value of P4:
B P1=B×(1-(d+32)/96)
B P2=B×(1-d/32)
B P3=B×(d/32)
B P4=B×((d+D)/96)
The degree of depth the 0th layer and the 1st layer show between body, three-dimensional coordinate is the voxel P to be shown that (x, y, d), RGB brightness value are B, when showing, with being positioned at the 0th layer, the 1st layer, the 2nd layer these continuous 3 layers show that on body, three-dimensional coordinate is respectively (x, y, 0), (x, y, 32), 3 component voxel P1 of (x, y, 64), P2, P3 equivalent substitution, and P1, P2, the RGB brightness value of P3:
B P1=B×(1/2+3×(32-d)/64)
B P2=B×(d/32)
B P3=B×(d/64)
The degree of depth the 18th layer and the 19th layer show between body, three-dimensional coordinate is the voxel P to be shown that (x, y, 576+d), RGB brightness value are B, when showing, with being positioned at the 17th layer, the 18th layer, the 19th layer these continuous 3 layers show that on body, three-dimensional coordinate is respectively (x, y, 544), (x, y, 576), 3 component voxel P1 of (x, y, 608), P2, P3 equivalent substitution, and P1, P2, the RGB brightness value of P3:
B P1=B×((32-d)/64)
B P2=B×((32-d)/32)
B P3=B×(2-3×(32-d)/64)
Visible, each voxel to be shown between two-layer adjacent demonstration body is broken down into 3 or 4 component voxels, is distributed in respectively on 3 or 4 adjacent demonstration bodies.When observer's viewed off-axis angle is α, the component voxel of the 3-D view of watching is still continuous, and image is in depth direction transitions smooth.In three kinds of situations, the RGB brightness value sum of component voxel is 2 * B, and compared with prior art the brightness of all voxels to be shown doubles; And the RGB brightness of each component voxel and voxel to be shown and the linear inverse relation of distance that shows body, meet the stereoscopic vision characteristic of human eye, and the synthetic result of RGB brightness value of each component voxel meets the psychological degree of depth impression of voxel to be shown.

Claims (3)

1. the anti-sawtooth algorithm of the true three dimensional depth of solid-state volume type, described solid-state volume type real three-dimensional display system has N layer (being numbered the 0th layer to N-1 layer) and shows that body, its dimensional resolution are X * Y * (D * (N-1)) (D is the depth resolution between any two-layer demonstration body); It is characterized in that: described anti-sawtooth algorithm is the voxel to be shown between any two-layer adjacent demonstration body by the degree of depth in solid-state volume type real three-dimensional display system, be decomposed into 3 (or 4) component voxels that are distributed in respectively on 3 (or 4) adjacent demonstration bodies, specific as follows:
(1), for the degree of depth the 0th layer and the 1st layer, show between body, three-dimensional coordinate is (x, y, d) (0≤x ﹤ X, 0≤y ﹤ Y, 0≤d ﹤ D), the RGB brightness value voxel P to be shown that is B, when showing with 3 component voxel P1, P2, P3 equivalent substitution, 3 described component voxel P1, P2, P3 lays respectively at the 0th layer, and the 1st layer, the 2nd layer continuous 3 layers show on body, three-dimensional coordinate is respectively (x, y, 0), (x, y, D), (x, y, 2D), RGB brightness value is respectively B * (1/2+3 * (D-d)/2D), B * (d/D), B * (d/2D);
(2), for the degree of depth, be positioned between M (1≤M≤N-3) layer and M+1 layer demonstration body, three-dimensional coordinate is (x, y, D * M+d) (0≤x ﹤ X, 0≤y ﹤ Y, 0≤d ﹤ D), RGB brightness value is the voxel P to be shown of B, while showing with 4 component voxel P1, P2, P3, P4 equivalent substitution, 4 described component voxel P1, P2, P3, P4 lays respectively at M-1 layer, M layer, M+1 layer, on the continuous 4 layers of demonstration body of M+2 layer, three-dimensional coordinate is respectively (x, y, D * (M-1)), (x, y, D * M), (x, y, D * (M+1)), (x, y, D * (M+2)), RGB brightness value is respectively B * (1-(d+D)/3D), B * (1-d/D), B * (d/D), B * ((d+D)/3D),
(3) for the degree of depth, at N-2 layer and N-1 layer, show between body, three-dimensional coordinate is (x, y, D * (N-2)+d) (0≤x ﹤ X, 0≤y ﹤ Y, 0≤d ﹤ D), RGB brightness value is the voxel P to be shown of B, when showing with 3 component voxel P1, P2, P3 equivalent substitution, 3 described component voxel P1, P2, P3 lays respectively at N-3 layer, N-2 layer, on the continuous 3 layers of demonstration body of N-1 layer, three-dimensional coordinate is respectively (x, y, D * (N-3)), (x, y, D * (N-2)), (x, y, D * (N-1)), RGB brightness value is respectively B * ((D-d)/2D), B * ((D-d)/D), B * (2-3 * (D-d)/2D).
2. according to the anti-sawtooth algorithm of the true three dimensional depth of a kind of solid-state volume type described in right 1, it is characterized in that, described voxel to be shown refers to from image source and is transferred to solid-state volume type real three-dimensional display system, waits voxel to be shown, and its packet has contained three-dimensional coordinate and RGB brightness value two parts.
3. according to the anti-sawtooth algorithm of the true three dimensional depth of a kind of solid-state volume type described in right 1, it is characterized in that, described component voxel refers to that by voxel to be shown, carrying out the decomposition of RGB brightness value produces, be positioned at show on body can actual displayed voxel, its packet has contained three-dimensional coordinate and RGB brightness value two parts.
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