This note conjectures that if two surface patches intersect with G1 continuity along an entire curve, the probability is one that the curve is rational. This idea has significance...
A canal surface is an envelope of a one parameter family of spheres. In this paper we present an efficient algorithm for computing the implicit equation of a canal surface generat...
Abstract. This paper presents the mathematical framework, and develops algorithms accordingly, to continuously and robustly track the intersection curves of two deforming parametri...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen...
We show how to extract a contour line (or isosurface) from quadratic elements—specifically from quadratic triangles and tetrahedra. We also devise how to transform the resultin...
David F. Wiley, Henry R. Childs, Benjamin F. Grego...
We propose an algorithm for contouring k-manifolds (k = 1, 2) embedded in an arbitrary n-dimensional space. We assume (n−k) geometric constraints are represented as polynomial e...