2D23D. Seamless 2D23D Texture Mapping , : (1) ; (2) 1 ( LI Xiaolan 2),3) ZHA Hongbin 3)

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( ), 42, 5,2006 9 Acta Scientiarum Naturalium Universitatis Pekinensis, Vol. 42, No. 5 (Sept. 2006) 1) 2D23D 2),3) 3) ( 2),,310035 ; 3),,,100871) 2 :,,, ; ; ; ; TP 391141 Seamless 2D23D Texture Mapping LI Xiaolan 2),3) ZHA Hongbin 3) ( 2) Computer Science and Technology Department, Zhejiang Industry and Commerce University, Hangzhou, 310035 ; 3) National Laboratory on Machine Perception, Peking University, Beijing, 100871) Abstract Wavelete decomposition was performed to classify the source images into two types : the edge2riched image and the smooth image. Based on the Human Visual System theory, different combination techniques, the image stitching and the image blending methods, were selected to deal with different source images. A new algorithm was proposed to find an optimized stitching path in the overlapped area of Partial Texture Maps. View dependent weight was added into the ordinary blending weight, which made the generated texture map reveal some geometric properties of the 3D model. The experimental results verify the validity of the methods. Key words wavelet block ; human visual system ; multiresolution blending ; blending weight ; image stitching 0 2, : (1) 1 ( ), ; (2) 2D23D ( (c) (e), ),, :,, 2D23D 2D23D,,,,,, : (1) ; (2),, 1) (60333010) 973 (2004CB318005) 674 : 2005211207 ; : 2006206215

5 : 2D23D [1 ] : [13 ], (UV ),, UVmesh, 2 : (1),,UVmesh, ; (2),, [2,3 ] 2 2D I 1 I 2, 2, I I 1 I 2, I 3D 3D 2 3D Fig. 2 Parametization of 3D model I 1 I 2, I i, UVPtexture i i = 1, 2,, num, num, (UVPtexture i [14 ] ) (feathering) [4,5 ], UVPtexture i, [6,7 ] 3, :, Su 1) 2 I ov 1 I ov 2, Levin (wavelete block) ; [8,9 ], 2) 2, T 1, I ov 1 I ov 2 ( 2D ), 2 ;, 3D 3), Rocchini [10,11 ], Pighin [12 ], 4 :,,,,, 1, 2, 3, 1, UVmesh 3 3 Fig. 3 The flow chart of image combination 675

( ) 42 4) T 2, S1 60 %,, 2 ;, 2. 2,, ;,,, [14 ] 2 2. 1,, I 1 I 2, I ov 1 I ov 2,,, e i, j = abs( I ov 1 ( i, j) - I ov 2 ( i, j) ), i = 1,, 2,, w ov, j = 1,2,, h ov, w ov h ov 3,, e, ( 4 ) 3 E : E i,1 = e i,1 E i, j = e i, j + min ( E i - 1, j, E i - 1, j, E i - 1, j+1 ),, ( 4 ) j = 2,, h ov (1), E, P ath = arg min ( E i ) i = 1,, w ov 5 1, ( 5 (a1) ) 5 (b2), ( UVPtexture ) : (1) e i, j, - 1 ; T len ; (2), (3) i - 1 E i, j ; (4) i 5 4 Fig. 4 The wavelet block - 1, i, len (Path i ) ; (5) len ( Path i ) > T len - 5, E i, j, [1 ], 2 : 5 2, S1 ;, S2, ( 5 (b1) ),, number{abs( F ( u, v) ) > T f ( u, v) WB k 2. 3 } T n, WB k S1 ;, WB k S2, T f T n, ;, 676

5 : 2D23D 1 Fig. 1 The results of different image combination methods 5 Fig. 5 The demonstration of image stitching along optimizing path 6 2 Fig. 6 Comparing the results acquired with multiresolution blending and optimizing path stitching,,,,, : (1), M ; (2), T len, Keypos ; (3) Keypos,, 677

( ) 42 Num in < T len - 5, 3 ( 7 (a) ),, s l s r, ( 7 ( b) ) w = s r - s l + 1 ( 7 (c) ),,, 7(d), ( UV Ptexture), ( 7 (e) ), 7 (f) ( ),, UV Ptexture ( 7 (g) ) 7 (h),, ( ), ( (d), ), W = W m W f W v, (2) ; ( (h) ), ( (d) ), (1) W m, ( i, j) M, W m ( i, j) = 1 ; W m ( i, j) = 0 ; (2) W f, W f ( i, j) = 1 - ( i - s l )Πw ; (3) W v, ( i, j, D k ) - min ( i, j, D k ) ( i, j) M W v ( i, j) = max ( i, j, D k ) - min ( i, j, D k ), (3) ; ( (h) ) ( i, j) M ( i, j) M 8 ( i, j, D k ) ( i, j) 8 (a) 8 (b) 5 i, j k D k (, ) i, j = N ( v 1 ) + N ( v 2 ) + N ( v 3 ), N ( v i ) v i 3 ),, 8 (c) 8 (d), 1,,, : (1), 3 ; ( (h) ), ( (f) ),, (2,3, 4, 6 ; (2),,,, ( 6 (c) ) ;,, 2 ( 6(d) ) 5 (a5), 31504 16, 7 678

5 : 2D23D 7 Fig. 7 The definition of weight functions and their effects for the texture map combinating 8 Fig. 8 The rendering results from different viewpoints [ 1 ] BLAKEMORE C, CAMPBELL F W. On the existence of neurones in the human visual system selectively sensitive to the orientation and size of retinal images [ J ]. Journal of Physiology, 1969, 203 : 2372260. [ 2 ] EFROS A A, FREEMAN W T. Image quilting for texture synthesis and transfer [ C]. Proc of SIGGRAPH 2001. Los Angeles : ACM, 2001 : 3412346. [ 3 ] DAVIS J. Mosaics of scenes with moving objects[ C]. Proc of CVPR. Santa Barbara : IEEE, 1998: 3542360. [ 4 ] SZELISKIR,SHUMHY. Creatingfullviewpanoramic 679

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