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Exact Offsets of Quadratic Bézier Triangles
The offset surfaces to non-developable quadratic triangular B´ezier patches are rational surfaces. We give a direct proof of this result and formulate an algorithm to generate exact offsets of general free-form surfaces approximated by q...
BA - Obecná matematika
- 2007 •
- D
Rok uplatnění
D - Stať ve sborníku
Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space
We consider special rational triangular Bézier surfaces of degree two on the sphere in standard form and show that these surfaces are parameterized by chord vertices of the (suitably chosen) domain triangle are identical. This obser...
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Curves and surfaces with rational chord length parameterization
quadratic circles in standard Bézier form are parametrized by chord length. Motivated to rational triangular Bézier surfaces of an arbitrary degree for which the distinguishing ofan arbitrary triangle inscribed to...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets
admit rationalparameterizations as well. Recently, it has been proved that quadratic triangular Bézier patches in View the MathML source are MOS surfaces. Following-parameter family of spheres given by a quadratic patch in...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Biquadratic S-Patch in Bézier form
points are derived. BS-Patches are presented. Close relation between Bézier trianglesMutual conversions between triangular and quadrilateral meshes need the same degree of both diagonal and boundary curves of quadrilateral meshes. ...
IN - Informatika
- 2011 •
- D
Rok uplatnění
D - Stať ve sborníku
Trimmed Offsets of General Surfaces Using Quadratic MOS Patches
MOS surfaces are rational surfaces in R^{3,1} which provide rational envelopes of the associated two-parameter family of spheres. Recently, it has been proved that quadratic triangular Bezier patches in R^{3,1} are MOS surfaces. In this pape...
BA - Obecná matematika
- 2008 •
- D
Rok uplatnění
D - Stať ve sborníku
Computing exact rational offsets of quadratic triangular Bézier surface patches
The offset surfaces to non-developable quadratic triangular B´ezier patches are rational surfaces. In this paper we give a direct proof of this result and formulate an algorithm for computing the parameterization of the offsets. Based on the...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Isoparametric Lagrange quadratic finite elements on a triangle
The definition of an quadratic Lagrange isoparametric element on a triangle is formulated and the results of the author's study of this element are briefly described....
BA - Obecná matematika
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
Rational hypersurfaces with rational convolutions
that the convolution surfaces of non-developable quadratic Bézier surfaces and an arbitrary...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A Symbolic-Numerical Envelope Algorithm Using Quadratic MOS Patches
. Recently, it has been proved that quadratic triangular Bézier patches in R^{3,1} belongIn this paper, we describe an algorithm for generating an exact rational envelope of a two-parameter family of spheres given by a quadratic...
BA - Obecná matematika
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
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