Filtry
On a Special Class of Polynomial Surfaces with Pythagorean Normal Vector Fields
Rational shapes with rational offsets, especially Pythagorean hodograph (PH) curves and Pythagorean normal vector (PN) surfaces, have been thoroughly studied for many years. However compared to PH curves, Pythagorean
BA - Obecná matematika
- 2012 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Support Function of Pythagorean Hodograph Cubics and G(1) Hermite Interpolation.
The Tschirnhausen cubic represents all non-degenerate Pythagorean Hododgraph of a centrally symmetrical curve and a curve with linear normals. We use the support function to parametrize the Tschirnhausen cubic by normals. T...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Generalized minimizers of convex integral functionals and Pythagorean identities
Integral functionals based on convex normal integrands are minimized subject to finitely many moment constraints. The effective domain of the value function is described by a modification of the concept of convex core. The minimization is vi...
BD - Teorie informace
- 2013 •
- D •
- Odkaz
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D - Stať ve sborníku
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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 PSN curve). These curves r...
BA - Obecná matematika
- 2014 •
- Jx •
- Odkaz
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On one particular example of PSN pencils
When the rational-offset (or Pythagorean-normal, shortly PN) proper-ty~is not satisfied globally but only along some special curves we speak about curves providing Pythagorean surface normals (shortly PSN curves). ...
BA - Obecná matematika
- 2014 •
- O
Rok uplatnění
O - Ostatní výsledky
Smooth surface interpolation using patches with rational offsets
We present a simple functional method for the interpolation of given data points and associated normals with surface parametric patches with rational normal fields. We give some arguments why a dual approach is especially convenient...
BA - Obecná matematika
- 2016 •
- Jx •
- Odkaz
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Linear computational approach to interpolations with polynomial Minkowski Pythagorean hodograph curves
Methods using Pythagorean hodographs both in Euclidean plane and Minkowski Pythagorean hodograph (MPH) curves is the fact that they make the trimming procedure first not a tangent but a normal vector space satisfying the pr...
Pure mathematics
- 2019 •
- Jimp •
- Odkaz
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Jimp - Článek v periodiku v databázi Web of Science
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Hermite interpolation by hypocycloids and epicycloids with rational offsets
We show that all rational hypocycloids and epicycloids are curves with Pythagorean normals and thus have rational offsets. Then, exploiting the convolution properties and (implicit) support function representation of these curves, w...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A direct and local method for computing polynomial Pythagorean-normal patches with global G1 continuity
We present a direct and local construction for polynomial G1 spline surfaces with a piece-wise Pythagorean normal (PN) vector field. A key advantage of our method is that the constructed splines possess exact piece-wise rational off...
Applied mathematics
- 2018 •
- Jimp •
- Odkaz
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Jimp - Článek v periodiku v databázi Web of Science
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Iamblichus on Pythagorean Dietetics
The chapter analyzes Iamblichus' account of Pythagorean dietetics in Vit. Pyth. 29.
AA - Filosofie a náboženství
- 2016 •
- C
Rok uplatnění
C - Kapitola v odborné knize
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