TANGENT, NORMAL, AND VISIBILITY CONES ON BEZIER SURFACES

Authors
KIM DS PAPALAMBROS PY WOO TC
Citation
Ds. Kim et al., TANGENT, NORMAL, AND VISIBILITY CONES ON BEZIER SURFACES, Computer aided geometric design, 12(3), 1995, pp. 305-320
Citations number
9
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
12
Issue
3
Year of publication
1995
Pages
305 - 320
Database
ISI
SICI code
0167-8396(1995)12:3<305:TNAVCO>2.0.ZU;2-T
Abstract
Definitions and properties for three types of cones, i.e., tangent, no rmal and visibility cones for regular parametric surfaces, are provide d. Algorithms to compute these cones for a regular Bezier surface are provided. It is shown that a tangent cone can be computed from a hodog raph, and a normal cone can be computed from a normal surface of a Bez ier surface. It is also shown that a simple transformation converts a normal cone to a visibility cone.