G^2 Hermite interpolation by rational PH curves
BASTL, B. G^2 Hermite interpolation by rational PH curves. Zlenice, 2010.
|Anglický název:||G^2 Hermite interpolation by rational PH curves|
|Autoři:||Ing. Bohumír Bastl Ph.D.|
|Abstrakt EN:||Recently, Sir et al. proved that all algebraic epi- and hypocycloids are rational curves with rational offset, i.e., they belong to the class of rational PH curves. Following this result, it can be also proved that the convolution of any two rational epi- and hypocycloids is a rational PH curve. In this talk, we want to use this result and formulate an algorithm for G^2 Hermite interpolation with convolutions of rational epi- and hypocycloids. The proposed algorithm will demonstrated on several examples.|