1 March 1990 Surface Structure Curves: Toward a Smooth Surface Descriptor
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Proceedings Volume 1192, Intelligent Robots and Computer Vision VIII: Algorithms and Techniques; (1990) https://doi.org/10.1117/12.969739
Event: 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, 1989, Philadelphia, PA, United States
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.
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Hiromi T. Tanaka, Hiromi T. Tanaka, Daniel T. L. Lee, Daniel T. L. Lee, Yukio Kobayashi, Yukio Kobayashi, } "Surface Structure Curves: Toward a Smooth Surface Descriptor", Proc. SPIE 1192, Intelligent Robots and Computer Vision VIII: Algorithms and Techniques, (1 March 1990); doi: 10.1117/12.969739; https://doi.org/10.1117/12.969739

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