Recovering surface curvature and orientation from texture distortion: a least squares algorithm and sensitivity analysis

作者: Jitendra Malik , Ruth Rosenholtz

DOI: 10.1007/3-540-57956-7_39

关键词:

摘要: Shape from texture is best analyzed in two stages, analogous to stereopsis and structure motion: (a) Computing the ‘texture distortion’, (b) Interpreting distortion’ infer orientation shape of surface. We model distortion for a given point direction on image plane as an affine transformation derive relationship between parameters this parameters. use non-linear minimization least squares error criterion estimate transformations, using simple linear algorithm obtain initial guess. Under assumption that measurement errors are independent normally distributed, we can find bounds parameter estimates. present results images planar curved surfaces under perspective projection. all five local with no priori assumptions about

参考文章(16)
Barrett O'Neill, Elementary differential geometry ,(1966)
Jonas G�rding, Shape from texture for smooth curved surfaces in perspective projection Journal of Mathematical Imaging and Vision. ,vol. 2, pp. 327- 350 ,(1992) , 10.1007/BF00121877
J. Malik, R. Rosenholtz, A differential method for computing local shape-from-texture for planar and curved surfaces computer vision and pattern recognition. pp. 267- 273 ,(1993) , 10.1109/CVPR.1993.340979
B.J. Super, A.C. Bovik, Shape-from-texture by wavelet-based measurement of local spectral moments computer vision and pattern recognition. pp. 296- 301 ,(1992) , 10.1109/CVPR.1992.223260
Ruzena Bajcsy, Lawrence Lieberman, Texture gradient as a depth cue Computer Graphics and Image Processing. ,vol. 5, pp. 52- 67 ,(1976) , 10.1016/S0146-664X(76)80005-6
Andrew Blake, Constantinos Marinos, Shape from texture Artificial Intelligence. ,vol. 45, pp. 323- 380 ,(1990) , 10.1016/0004-3702(90)90011-N
Andrew P. Witkin, Recovering surface shape and orientation from texture Artificial Intelligence. ,vol. 17, pp. 17- 45 ,(1981) , 10.1016/0004-3702(81)90019-9
J. Aloimonos, Shape from texture Biological Cybernetics. ,vol. 58, pp. 345- 360 ,(1988) , 10.1007/BF00363944
Ken-ichi Kanatani, Tsai-Chia Chou, Shape from texture: General principle Artificial Intelligence. ,vol. 38, pp. 1- 48 ,(1989) , 10.1016/0004-3702(89)90066-0
Larry S. Davis, Ludvik Janos, Stanley M. Dunn, Efficient Recovery of Shape from Texture IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. PAMI-5, pp. 485- 492 ,(1983) , 10.1109/TPAMI.1983.4767427