Abstract
A new definition of geometric continuity for implicitly defined surfaces is introduced. Under this definition, it is shown that algebraic
blending
surfaces (surfaces that smoothly join two or more surfaces) have a very specific form. In particular, any polynomial whose zero set blends the zero sets of several other polynomials is always expressible as a simple combination of these polynomials. Using this result, new methods for blending several algebraic surfaces simultaneously are derived.
Publisher
Association for Computing Machinery (ACM)
Subject
Computer Graphics and Computer-Aided Design
Reference18 articles.
1. DEROSE T. Geometric continuity: A parameterization independent measure of continuity for computer aided geometric design. Ph.D. dissertation Department of Computer Science University of California at Berkeley 1985. DEROSE T. Geometric continuity: A parameterization independent measure of continuity for computer aided geometric design. Ph.D. dissertation Department of Computer Science University of California at Berkeley 1985.
2. On computing the intersection of a pair of algebraic surfaces
3. HARTSHORNE R. Algebraic Geometry Springer-Verlag New York 1977. HARTSHORNE R. Algebraic Geometry Springer-Verlag New York 1977.
4. Quadratic blending surfaces
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