Name
Title | ||
|---|---|---|
C2 Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation |
Abstract | ||
|---|---|---|
We describe and fully analyze an algorithm for C^2 Hermite interpolation by Pythagorean hodograph curves of degree 9 in Minkowski space R^2^,^1. We show that for any data there exists a four-parameter system of interpolants and we identify the one which preserves symmetry and planarity of the input data and which has the optimal approximation degree. The new algorithm is applied to an efficient approximation of segments of the medial axis transform of a planar domain leading to rational parameterizations of the offsets of the domain boundaries with a high order of approximation. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.cagd.2010.04.005 | Computer Aided Geometric Design |
Keywords | Field | DocType |
input data,minkowski space r,new algorithm,c2 hermite interpolation,medial axis,hermite interpolation,efficient approximation,optimal approximation degree,pythagorean hodograph curve,domain boundary,planar domain,minkowski pythagorean hodograph curve,minkowski space,four-parameter system,medial axis transform | Parametric surface,Topology,Planarity testing,Parametrization,Curve fitting,Polynomial interpolation,Mathematical analysis,Medial axis,Minkowski space,Hermite interpolation,Mathematics | Journal |
Volume | Issue | ISSN |
27 | 8 | Computer Aided Geometric Design |
Citations | PageRank | References |
5 | 0.42 | 12 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jiří Kosinka | 1 | 91 | 6.53 |
| Zbynk Šír | 2 | 54 | 3.25 |