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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...
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) ...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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 hodogra...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Rational framing motions and spatial rational Pythagorean hodograph curves
We propose a new method for constructing rational spatial Pythagorean Hodograph (PH) curves based on determining a suitable rational framing motion. While surprisingly, generic input data will only result in polyno...
Applied mathematics
- 2022 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Parameterizing rational offset canal surfaces via rational contour curves
a construction of rational spatial MPH curves from the associated planar PH rational contour curves, which are later used for a straightforward computation at the spine curve m(t) and with the ra...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Reducibility of offsets to algebraic curves
conditions (PH curves/PN surfaces). A certain analogy of the PH condition for implicitly given (not necessarily rational) curves (or hypersurfaces).Computing offset curves and surfaces is a funda...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Three paths to rational curves with rational arc length
We solve the so far open problem of constructing all spatial rational curves with rational arc length functions. More precisely, we present three different methods PH curves and requires solving a modestly...
Applied mathematics
- 2024 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Rational hypersurfaces with rational convolutions
are discussed.We also aim to examine links between well-known curves and surfaces (PH/PN or LNThe aim of this article is to focus on the investigation of such rationally parametrized hypersurfaces which admit rational<...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Non-generic curves of given direction
A new method was given recently for constructing rational curves with Pythagorean directions. Existing results focus mostly on the generic cases. We formulate the problem for curves with any given direction and show on the ...
Applied mathematics
- 2022 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
A Unified Pythagorean Hodograph Approach to the Medial Axis Transform and Offset Approximation
be found in the literature. It was recently revealed that rational PH curves the discussion of the interplay between spatial MPH curves and their associated planar PH computations, an arbitrary algorithm ...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
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