Interpolation of the Irregular Curve Network of Ship Hull Form Using Subdivision Surfaces
Kyu-Yeul Lee, Doo‐Yeoun Cho, Tae‐Wan Kim
Abstract
Kyu-Yeul Lee, Doo‐Yeoun Cho, Tae‐Wan Kim
Abstract
Ribbons may be used for the modeling of DNAs and proteins.The topology of a ribbon can be described by the link Lk, while its geometry is represented by the writhe Wr and the twist Tw.These three quantities are numerical integrals and are related by a single formula from knot theory.This article discusses the meanings of these three quantities, offers an approach for calculating their numerical values, and provides some examples.
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Ribbons may be used for the modeling of DNAs and proteins.The topology of a ribbon can be described by the link Lk, while its geometry is represented by the writhe Wr and the twist Tw.These three quantities are numerical integrals and are related by a single formula from knot theory.This article discusses the meanings of these three quantities, offers an approach for calculating their numerical values, and provides some examples.
Key concepts: Hull, Subdivision, Interpolation (computer graphics), Mathematics, Geometry, Computer science, Algorithm, Marine engineering