Medial axis transforms yielding rational envelopes

作者：Bizzarri Michal; Lavicka Miroslav; Kosinka Jiri^*

来源：Computer Aided Geometric Design, 2016, 46: 92-102.

DOI：10.1016/j.cagd.2016.05.006

• Rational envelope
• Pythagorean hodograph curve
• Medial axis
• MOS surface

Minkowski Pythagorean hodograph (MPH) curves provide a means for representing domains with rational boundaries via the medial axis transform. Based on the observation that MPH curves are not the only curves that yield rational envelopes, we define and study rational envelope (RE) curves that generalise MPH curves while maintaining the rationality of their associated envelopes.
To demonstrate the utility of RE curves, we design a simple interpolation algorithm using RE curves, which is in turn used to produce rational surface blends between canal surfaces. Additionally, we initiate the study of rational envelope surfaces as a surface analogy to RE curves.

• 出版日期2016-8