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Medial axis transforms yielding rational envelopes

BIZZARRI, M., LÁVIČKA, M., KOSINKA, J. Medial axis transforms yielding rational envelopes. COMPUTER AIDED GEOMETRIC DESIGN, 2016, roč. 46, č. August 2016, s. 92-102. ISSN: 0167-8396
Jazyk publikace: eng
Anglický název: Medial axis transforms yielding rational envelopes
Rok vydání: 2016
Autoři: RNDr. Michal Bizzarri Ph.D. , Doc. RNDr. Miroslav Lávička Ph.D. , Jiří Kosinka
Abstrakt EN: 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.
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