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Journal of Inforamtion Science and Engineering, Vol.6 No.4, pp.339-360 (December 1990)
2-D Contour and 3-D Shape Analysis of
Straight Homogeneous Generalized Cylinders

Chung-Lin Huang
Department of Electrical Engineering
National Tsing Hua University
Hsinchu 30043, Taiwan, R.O.C.

Object restoration is an unsolved problem in computer vision. We apply the concept of Straight Homogeneous Generalized Cylinders (SHGCs) as a significant model to constrain a variety of 3-D objects for viewpoint independent shape recovery. The SHGCs are represented with a straight axis and cross-section that have constant shape but vary in size. This paper presents a new approach to recover the 3-D shape of the SHGCs from their projected 2-D contour images with a single view. In addition, the analytical form of the SHGCs applied to various shapes, such as the Circular SHGC, the Polygonal SHGC., and the Ellipsoidal SHGC, is also discussed.

Keywords: computer vision, shape restoration, straight homogeneous generalized cylinders, occluding contour, contour generator

Received December 15, 1989; revised July 15, 1990.
Communicated by J. H. Huang.