A Crystalline Motion of Spiral-Shaped Curves with Symmetry

✍ Scribed by Hitoshi Imai; Naoyuki Ishimura; TaKeo Ushijima

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 102 KB
• Volume: 240
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1999.6599

✦ Synopsis

We study the evolution of spiral-shaped polygonal curves by crystalline curvature. Crystalline curvature is known to extend the notion of ordinary curvature to the special class of nonsmooth curves. With the assumption of symmetry, we show that the motion of our spirals can be analyzed up to the rest state, possibly beyond singularities.