Caustics of spline curves.
- Resource Type
- Article
- Authors
- Troll, Ede; Hoffmann, Miklós
- Source
- Annales Mathematicae et Informaticae. 2017, Vol. 47, p201-209. 9p.
- Subject
- *CAUSTICS (Optics)
*SPLINES
*CURVES
*LIGHT
*MATHEMATICAL functions
- Language
- ISSN
- 1787-5021
If we consider a curve as a mirror, then parallel light rays reflected by this mirror curve form a family of lines, which generally has an envelope. This envelope is called caustic curve of the given mirror curve. The aim of this paper is to describe the caustic curve of a free-form curve and study its alteration by the modification of a control point. We will provide results of general form, and case studies in terms of Bézier and B-spline curves. [ABSTRACT FROM AUTHOR]