𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Continuity of biparametric surface patches

✍ Scribed by M. Veron; G. Ris; J.-P. Musse


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
446 KB
Volume
8
Category
Article
ISSN
0010-4485

No coin nor oath required. For personal study only.

✦ Synopsis


The most convenient numerical method for defining surfaces is by bipararnetric vectors. The paper describes the conditions for ensuring second order continuity. A second definition of continuity is given which provides a mathematical generalization to order n between two surface patches.


πŸ“œ SIMILAR VOLUMES


Nonrectangular surface patches with curv
✍ A.K. Jones πŸ“‚ Article πŸ“… 1988 πŸ› Elsevier Science 🌐 English βš– 899 KB

Nonrectangular surface patches with curvature continuity ## A K Jones An n-sided region can be decomposed into n rectangles, all meeting at a common vertex. For odd n, derivative data can be defined for each rectangular patch at the common vertex that allows continuity of tangent planes and, opt

GC1 continuity conditions between adjace
✍ D. Liu; J. Hoschek πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 422 KB

Necessary and sufficient conditions for geometric C 7 continuity (GC 7) that cover all the four combinations between rectangular and triangular B6zier surface patches are presented. Further, some more practical sufficient conditions are developed. The GC ~ conditions in several special cases might b

Topologically Reliable Approximation of
✍ Wonjoon Cho; Takashi Maekawa; Nicholas M. Patrikalakis; Jaime Peraire πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 408 KB

We present an unstructured triangular mesh generation algorithm that approximates a set of mutually nonintersecting simple trimmed polynomial parametric surface patches within a user specified geometric tolerance. The proposed method uses numerically robust interval geometric representations/computa