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Proceedings Paper

Surface Structure Curves: Toward a Smooth Surface Descriptor
Author(s): Hiromi T. Tanaka; Daniel T. L. Lee; Yukio Kobayashi
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Paper Abstract

We have been developing a framework for the visual representation of three-dimensional free-form curved surfaces based on a special class of surface curves which we call the surface structure curves. By analyzing their properties, we attempt to construct a basis for describing the topographical structures of curved surfaces that leads to a global description of the surface geometry. Surface structure curves are a set of surface curves defined by using viewpoint-invariant features - surface curvatures (and their gradients and asymptotes), from differential geometry. From the surface structure curves, surface sketches by means of the topographical structures of ridges lines, valley lines, and enclosing boundaries of bumps and dents can be inferred. In this paper, we propose a viewpoint invariant representation scheme that provides a smooth surface sketch which can be used as a natural parameterization of free-form curved surfaces. We define three types of surface structure points and five types of surface structure curves in terms of zero-crossings, asymptotes and gradients of the Gaussian and mean curvatures. We discuss their properties and functions in edge-based segmentation and description of free-form curved surfaces. Some examples of surface sketches by the surface structure curves are shown.

Paper Details

Date Published: 1 March 1990
PDF: 13 pages
Proc. SPIE 1192, Intelligent Robots and Computer Vision VIII: Algorithms and Techniques, (1 March 1990); doi: 10.1117/12.969739
Show Author Affiliations
Hiromi T. Tanaka, ATR Communication Systems Research Laboratories (Japan)
Daniel T. L. Lee, ATR Communication Systems Research Laboratories (Japan)
Yukio Kobayashi, ATR Communication Systems Research Laboratories (Japan)

Published in SPIE Proceedings Vol. 1192:
Intelligent Robots and Computer Vision VIII: Algorithms and Techniques
David P. Casasent, Editor(s)

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