Variable-radius offset parametric curves and surfaces are defined. The envelopes of these variable offset parametric curves and surfaces are computed explicitly. It is shown that in each case the equations for the envelope surfaces reduce: to the familiar offset equations for parametric nerves when
An overview of offset curves and surfaces
โ Scribed by Takashi Maekawa
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 228 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0010-4485
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Offset curves and surfaces: a brief survey B Pham The designing of offset curves and surfaces is an essential task in many industrial applications such as the generation of tool-path geometry in numerical-control machining and robot-path planning. The paper discusses problems that are encounter
This paper presents algorithms for computing offsets of NURBS curves and surfaces. The basic approach consists of four steps: (1) recognition of special curves and surfaces; (2) sampling the offset curve or surface based on bounds on second derivatives; (3) interpolating these points; and (4) removi
This paper presents an algorithm of modifying free-formed NURBS curve/surface for offsetting without local self-intersecting. The method consists of (1) sampling a number of points from a progenitor curve/surface based on second derivatives; (2) checking the curvature or maximum curvature of the pro