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70 405 (0,319s)

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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 on the observationthat quadratic

BA - Obecná matematika

  • 2008
  • Jx
Result

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 for computing rational parameterizations ...

BA - Obecná matematika

  • 2007
  • D
Result

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 to the patch vertices and the ratios of the dist...

BA - Obecná matematika

  • 2011
  • Jx
  • Link
Result

A Symbolic-Numerical Envelope Algorithm Using Quadratic MOS Patches

envelope of a two-parameter family of spheres given by a quadratic patch in R^{3,1}, which is considered as a medial surface transform (MST) of a spatial domain. Recently, it has been proved that quadratic tri...

BA - Obecná matematika

  • 2009
  • D
Result

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^...

BA - Obecná matematika

  • 2008
  • D
Result

Volumes with piecewise quadratic medial surface transforms: Computation of boundaries and trimmed offsets

triangular Bézier patches in View the MathML source are MOS surfaces. Following-parameter family of spheres given by a quadratic patch in View the MathML sourceMOS surfaces (i.e., medial...

BA - Obecná matematika

  • 2010
  • Jx
Result

On Computing Approximate Parameterizations Of Algebraic Surfaces

In this paper we present a novel approach which can be used for computing approximate parameterizations of algebraic surfaces. The algorithm is based on determining the topological graph of a given surface and replacing its tria...

BA - Obecná matematika

  • 2012
  • D
Result

Biquadratic S-Patch in Bézier form

to quadrilateral patches, S-Patches, offers such possibility. The Bézier approach of Smart patches (S-Patch) in the biquadratic case is analyzed. Dependencies among the control points are derived. BS-...

IN - Informatika

  • 2011
  • D
Result

Construction of new cubic Bézier-like triangular patches with application in scattered data interpolation

This paper discusses the functional scattered data interpolation to interpolate the general scattered data. Compared with the previous works, we construct a new cubic Bézier-like triangular basis function controlled by three shape p...

Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

  • 2020
  • Jimp
  • Link
Result

Shading of Bézier Patches

of rendered surface. Computation of normal vector for Cartesian and triangular parametric surfaces is presented in the paper.There are well known shading algorithms (Gouraud, Phong) for the surfaces shading. The p...

BA - Obecná matematika

  • 2009
  • D
  • Link
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