Title :
Smoothed local generalized cones: an axial representation of 3D shapes
Author :
Sato, Yoshinobu ; Ohya, Jun ; Ishii, Kenichiro
Author_Institution :
NTT Human Interface Labs., Kanagawa, Japan
Abstract :
The recovery of viewpoint-independent descriptions of 3D shapes from two-and-one-half dimensional images. A novel 3D shape representation called the smoothed local generalized cones (SLGCs) is proposed. This representation is suitable for recovery of the axis, because the local constraint that characterizes a data set corresponding to the same axis point, namely, the local generalized cone (LGC), is explicitly defined. The extracted axis can be used as a basis for determining a natural parameterization of the object surface. Using this parameterization, the deformable surface fitting problem results in a linear least-squares problem, so stable volumetric recovery is possible. Recovery experiments involving real 3D range images are reported
Keywords :
computational geometry; computer vision; least squares approximations; surface fitting; 3D range images; 3D shape representation; 3D shapes; axial representation; deformable surface fitting; linear least-squares problem; local constraint; natural parameterization; object surface; smoothed local generalized cones; stable volumetric recovery; two-and-one-half dimensional images; viewpoint-independent descriptions; Biomedical imaging; Constraint optimization; Deformable models; Ear; Humans; Least squares methods; Object recognition; Optimization methods; Shape; Surface fitting;
Conference_Titel :
Computer Vision and Pattern Recognition, 1992. Proceedings CVPR '92., 1992 IEEE Computer Society Conference on
Conference_Location :
Champaign, IL
Print_ISBN :
0-8186-2855-3
DOI :
10.1109/CVPR.1992.223227