Recovery of surface pose from texture orientation statistics under perspective projection

被引:49
作者
Warren, Paul A. [1 ]
Mamassian, Pascal [2 ]
机构
[1] Univ Manchester, Sch Psychol Sci, Manchester M13 9PL, Lancs, England
[2] Univ Paris 05, CNRS, UMR 8158, Lab Psychol Percept, F-75006 Paris, France
关键词
Shape from texture; Computational vision; Human vision; STRUCTURE-FROM-MOTION; IDEAL OBSERVERS; SHAPE; PERCEPTION; INFORMATION; ISOTROPY; SLANT; CONTOUR; CUES;
D O I
10.1007/s00422-010-0389-3
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
080201 [机械制造及其自动化];
摘要
In a seminal paper, Witkin (1981) derived a model of surface slant and tilt recovery based on the statistics of the orientations of texture elements (texels) on a planar surface. This model made use of basic mathematical properties of probability distributions to formulate a posterior distribution on slant and tilt given a set of image orientations under orthographic projection. One problem with the Witkin model was that it produced a posterior distribution with multiple maxima, reflecting the inherent ambiguity in scene reconstruction under orthographic projection. In the present article, we extend Witkin's method to incorporate the effects of perspective projection. An identical approach is used to that of Witkin; however, the model now reflects the effects of perspective projection on texel orientation. Performance of the new model is compared against that of Witkin's model in a basic surface pose recovery task using both a maximum a posteriori (MAP) decision rule and a rule based on the expected value of the posterior distribution. The resultant posterior of the new model is shown to have only one maximum and thereby the ambiguity in scene interpretation is resolved. Furthermore, the model performs better than Witkin's model using both MAP and expected value decision rules. The results are discussed in the context of human slant estimation.
引用
收藏
页码:199 / 212
页数:14
相关论文
共 28 条
[1]
[Anonymous], 1950, PERCEPTION VISUAL WO
[2]
[Anonymous], 2000, DIRECTIONAL STAT, DOI DOI 10.1002/9780470316979
[3]
SHAPE FROM TEXTURE - IDEAL OBSERVERS AND HUMAN PSYCHOPHYSICS [J].
BLAKE, A ;
BULTHOFF, HH ;
SHEINBERG, D .
VISION RESEARCH, 1993, 33 (12) :1723-1737
[4]
SHAPE FROM TEXTURE - ESTIMATION, ISOTROPY AND MOMENTS [J].
BLAKE, A ;
MARINOS, C .
ARTIFICIAL INTELLIGENCE, 1990, 45 (03) :323-380
[5]
AN EXTREMUM PRINCIPLE FOR SHAPE FROM CONTOUR [J].
BRADY, M ;
YUILLE, A .
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1984, 6 (03) :288-301
[6]
MOTION AND TEXTURE AS SOURCES OF SLANT INFORMATION [J].
BRAUNSTEIN, ML .
JOURNAL OF EXPERIMENTAL PSYCHOLOGY, 1968, 78 (2P1) :247-+
[7]
Does the human visual system implement an ideal observer theory of slant from texture? [J].
Buckley, D ;
Frisby, JP ;
Blake, A .
VISION RESEARCH, 1996, 36 (08) :1163-1176
[8]
The role of perspective information in the recovery of 3D structure-from-motion [J].
Eagle, RA ;
Hogervorst, MA .
VISION RESEARCH, 1999, 39 (09) :1713-1722
[9]
[10]
SHAPE FROM TEXTURE AND CONTOUR BY WEAK ISOTROPY [J].
GARDING, J .
ARTIFICIAL INTELLIGENCE, 1993, 64 (02) :243-297