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Apollonian de Casteljau-type algorithms for complex rational Bézier curves
. A rational curve of the complex degree n admits generically n! distinct de Casteljau-typeWe describe a new de Casteljau-type algorithm for complex rational Bezier curves. After proving that thes...
Applied mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Surfaces with Pythagorean normals along rational curves
A rational curve on a rational surface such that the unit normal vector field of the surface along this curve is rational will be called a curve providing Pythagorean surface normals (or shortly a...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Medial axis transforms yielding rational envelopes
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 yi...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Symbolic Algorithm For Computing Approximate Parameterizations Over Rationals
It is well known that an irreducible algebraic curve is rational if and only to parameterize approximately affine rational plane curves by means of linear systems of adjoint curves and one chosen ratio...
BA - Obecná matematika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Curvature continuous Hermite interpolation scheme with rational PH curves
are rational curves with rational offsets, 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 hyp...
BA - Obecná matematika
- 2010 •
- O
Rok uplatnění
O - Ostatní výsledky
Rational Pythagorean-hodograph space curves
A method for constructing rational Pythagorean-hoclograph (PH) curves in R(3 is a developable ruled surface. The rational PH space curve is identified as the edge of regression (or cuspidal edge) of this developabl...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Translation surfaces and isotropic nets on rational minimal surfaces
of rational isotropic curves with a prescribed tangent field which leads by translating one curve along another one. We focus on the geometry of translation surfaces generated by two algebraic curves in space and ...
Applied mathematics
- 2017 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
From planar to spatial Euclidean and Minkowski Pythagorean hodograph curves
and Lávička (2010) extended the notion of MPH curves also to the rational case by prescribing an associated planar rational PH curve and an additional rational functionSpatial Pythagorean hodograph (PH) <...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Mapping rational rotation-minimizing frames from polynomial curves on to rational curves
Given a polynomial space curve that has a rational rotation-minimizing frame (an RRMF curve), a methodology is developed to construct families of rational space. The construction employs the dual form of a rati...
Applied mathematics
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On rational Minkowski Pythagorean hodograph curves
. In the present paper we generalize this polynomial class to a rational class of curves in Minkowski 3-space. We show that any rational Minkowski Pythagorean hodograph curve can be obtained in terms of its associa...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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