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Discrete Generalized Medial Axis Transform and Its Applications
The article deals with the discrete version of generalized medial axis transform abbreviated as DGMAT. The ordinary medial axis transform (MAT) describes a set as the union of the maximal inscribe...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Minkowski Operations via Discrete Generalized Medial Axis Transform
The paper uses the Discrete Generalized Medial Axis Transform (DGMAT) introduced the last year to compute the Minkowski sum and Minkowski difference. The notation is modified from last year to make it simpler and more under...
BA - Obecná matematika
- 2009 •
- O
Rok uplatnění
O - Ostatní výsledky
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 yield ratio...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On Canal Surfaces with Polynomial MATs and Rational Contour Curves
In this paper, we will study a condition which guarantees that a given canal surface with polynomial MAT (medial axis transform) has rational contour curves with respect to some chosen direction. These curves can be then us...
BA - Obecná matematika
- 2013 •
- O
Rok uplatnění
O - Ostatní výsledky
Blends of canal surfaces from polyhedral medial transform representations
of themedial surface transform. The resulting blend surface consists of trimmed envelopes of one- and two-parameter families of spheres. Blending the medial surface transform......
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Generalization of Laguerre Geometry
The article deals with the relationship between Laguerre geometry and Minkowski sum. This relationship is used to create new geometry based on fundamental object different to closed balls that formed Laguerre geometry. In the end of the article, ther...
BA - Obecná matematika
- 2006 •
- D
Rok uplatnění
D - Stať ve sborníku
Recognizing implicitly given rational canal surfaces
that if the squared medial axis transform is a rational curve then so is also the corresponding of the squared medial axis transform which can be then used for finding a rational......
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
C-2 Hermite interpolation by Minkowski Pythagorean hodograph curves and medial axis transform approximation
of the medial axis transform of a planar domain leading to rational parameterizations...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On rational Minkowski Pythagorean hodograph curves
Minkowski Pythagorean hodograph curves are polynomial curves with polynomial speed, measured with respect to Minkowski norm. Curves of this special class are particularly well suited for representing medial axis transforms ...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On Rational Minkowski Pythagorean Hodograph Curves
Minkowski Pythagorean hodograph curves are polynomial curves with polynomial speed, measured with respect to Minkowski norm. Curves of this special class are particularly well suited for representing medial axis transforms ...
BA - Obecná matematika
- 2009 •
- O
Rok uplatnění
O - Ostatní výsledky
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