Invariant properties of straight homogeneous generalized cylindersand their contours
Ponce, J.
Chelberg, D.
Mann, W.B.
Robotics Lab., Stanford Univ., CA;
This paper appears in: Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publication Date: Sep 1989
Volume: 11,
Issue: 9
On page(s): 951-966
ISSN: 0162-8828
References Cited: 37
CODEN: ITPIDJ
INSPEC Accession Number: 3509341
Digital Object Identifier: 10.1109/34.35498
Current Version Published: 2002-08-06
Abstract
A fundamental group in computer vision is the recovery of
three-dimensional shape from image data. While this problem is in
general underconstrained, the authors show that it can be simplified in
the case where the objects being viewed are generalized cylinders. They
consider the class of straight homogeneous generalized cylinders
(SHGCs), without any further assumption on the viewing direction or the
precise shape of these objects. They present a rigorous mathematical
study of the geometry of SHGCs and characterize their Gaussian curvature
and occluding contours, and use these results to prove several new
invariant properties of the contours of SHGCs. These properties are, in
turn, used in two implemented algorithms for recovering SHGC
descriptions from image contours. Several examples of segmentation of
real images are given. Other applications are also discussed
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