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computer science, software engineering (27) 27
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computer imaging, vision, pattern recognition and graphics (4) 4
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Computer-Aided Design, ISSN 0010-4485, 06/2017, Volume 87, pp. 41 - 51
We continue the study of rational envelope (RE) surfaces. Although these surfaces are parametrized with the help of square roots, when considering an RE patch... 
Medial axis transform | Skinning | Blending | Rational envelope surface | RINGED SURFACES | REPRESENTATIONS | CANAL SURFACES | CURVES | To be checked by Faculty | COMPUTER SCIENCE, SOFTWARE ENGINEERING
Journal Article
Computer-Aided Design, ISSN 0010-4485, 08/2017, Volume 89, pp. 1 - 11
In this paper we will continue in investigating ‘contour method’ and its using for the computation of rational parameterizations of canal surfaces without a... 
Canal surfaces | Contour curves | Blends | Rational envelope curves | Bypassing obstacles | COMPUTER SCIENCE, SOFTWARE ENGINEERING | PYTHAGOREAN HODOGRAPH CURVES | PERSPECTIVE | LAGUERRE GEOMETRY
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2011, Volume 235, Issue 12, pp. 3413 - 3424
Algorithms based on Pythagorean hodographs (PH) in the Euclidean plane and in Minkowski space share common goals, the main one being rationality of offsets of... 
Medial axis transform | Minkowski space | Trimmed offsets | Pythagorean hodograph curve | Hermite interpolation | MATHEMATICS, APPLIED | CUBICS | SMOOTH | RATIONAL PARAMETERIZATION | CURVES | SURFACES | Algorithms
Journal Article
Computer aided design, ISSN 0010-4485, 09/2018, Volume 102, pp. 44 - 51
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... 
Rational offsets | Piece-wise polynomial PN surfaces | Macro-elements | Hermite interpolation
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2015, Volume 290, pp. 125 - 135
Results of number of geometric operations are in many cases surfaces described implicitly. Then it is a challenging task to recognize the type of the obtained... 
Surfaces of revolution | Rational surfaces | Algebraic surfaces | Surface recognition | MATHEMATICS, APPLIED | PARAMETRIZATION | CURVES | Parametrization | Algebra | Tasks | Mathematical analysis | Implicit equations | Mathematical models | Polynomials | Models
Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 2010, Volume 27, Issue 7, pp. 514 - 524
Minkowski Pythagorean hodograph curves are polynomial curves with polynomial speed, measured with respect to Minkowski norm. Curves of this special class are... 
Medial axis transform | Minkowski space | Curvature | Pythagorean hodograph curve | To be checked by Faculty | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | C-1 HERMITE INTERPOLATION | OFFSET CURVES | Hodographs | Planes | Rational functions | Transforms | Norms | Computer aided design
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 09/2019, Volume 357, pp. 302 - 318
We present novel, deterministic, efficient algorithms to compute the symmetries of a planar algebraic curve, implicitly defined, and to check whether or not... 
Similarity | Harmonic polynomials | Dihedral groups | Planar algebraic curves | Symmetry detection | MATHEMATICS, APPLIED | Analysis | Algorithms
Journal Article
Computer-Aided Design, ISSN 0010-4485, 11/2011, Volume 43, Issue 11, pp. 1477 - 1484
We present a new method for constructing G1 blending surfaces between an arbitrary number of canal surfaces. The topological relation of the canal surfaces is... 
Canal surface | Blend surface | Medial axis | Medial structure | RATIONAL OFFSETS | PARAMETRIC SURFACES | QUADRICS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | ALGEBRAIC-SURFACES | BOUNDARIES | CYCLIDES | SPLINES | GEOMETRY | Blends | Polymer blends | Blending | Canals | Transforms | Polyhedrons | Representations | Computer aided design
Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 08/2017, Volume 56, pp. 52 - 66
In this paper we study situations when non-rational parameterizations of planar or space curves as results of certain geometric operations or constructions are... 
Weierstrass form | Hyperelliptic curves | Rational approximation | Topological graph | Square-root parameterization | OFFSETS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | SPACE-CURVES | CANAL SURFACES | BISECTOR | Analysis | Algorithms
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 05/2016, Volume 74, pp. 367 - 377
It is still a challenging task of today to recognize the type of a given algebraic surface which is described only by its implicit representation. In this... 
Canal surfaces | Medial axis transform | Rational surfaces | Algebraic surfaces | Surface recognition | MATHEMATICS, APPLIED | COMPUTER SCIENCE, THEORY & METHODS | Analysis | Algorithms
Journal Article
Journal of Symbolic Computation, ISSN 0747-7171, 2010, Volume 45, Issue 6, pp. 657 - 676
We focus on the investigation of relations between plane algebraic curves and their convolution. Since the convolution of irreducible algebraic curves is not... 
Rational curves | Algebraic curves | Convolutions | Convolution degree | Offsets | Genus | MATHEMATICS, APPLIED | BEHAVIOR | PARAMETRIZATION | COMPUTER SCIENCE, THEORY & METHODS | QUADRICS | SURFACES
Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 11/2016, Volume 48, pp. 75 - 85
We present a simple functional method for the interpolation of given data points and associated normals with surface parametric patches with rational normal... 
Coons patches | Isotropic model | Rational offsets | Surfaces with Pythagorean normal fields | Hermite interpolation | NORMALS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | SUPPORTED SURFACES | SPHERE | CURVES | QUADRICS
Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 02/2017, Volume 51, pp. 30 - 47
•Special classes of polynomial 2-surfaces possessing polynomial area element are investigated.•Piecewise polynomial PN and MOS interpolating prescribed Hermite... 
Polynomial area element | PN surfaces | Hermite interpolation | MOS surfaces | RATIONAL OFFSETS | MATHEMATICS, APPLIED | SPHERE | PATCHES | CURVES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | BOUNDARIES | PYTHAGOREAN HODOGRAPHS | TRANSFORMS
Journal Article
Computer-Aided Design, ISSN 0010-4485, 2008, Volume 40, Issue 2, pp. 197 - 209
Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 06/2012, Volume 29, Issue 5, pp. 231 - 241
The investigation of rational varieties with chord length parameterization (shortly RCL varieties) was started by Farin (2006) who observed that rational... 
Rational varieties | Chord lengths parameterizations | Rational Bézier patches | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | Rational Bezier patches | Parametrization | Triangles | Computer aided design | Standards | Bezier
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 02/2014, Volume 257, pp. 65 - 78
In this paper the C1 Hermite interpolation problem by spatial Pythagorean-hodograph cubic biarcs is presented and a general algorithm to construct such... 
Biarc | Hermite | Interpolation | Pythagorean-hodograph | Cubic | Spatial
Journal Article
Mathematics in Computer Science, ISSN 1661-8270, 6/2014, Volume 8, Issue 2, pp. 299 - 319
... and Rational Canal Surfaces Bohumír Bastl · Bert Jüttler · Miroslav Lávi cka · Tino Schulz · Zbyn ek Šír Received: 11 October 2013 / Revised: 16 February 2014 / Accepted... 
Blending | Rational parameterization | Darboux cyclide | Mathematics, general | Ringed surface | Canal surface | 65D17 | Mathematics | 68U05 | 53A05 | Computer Science, general | Dupin cyclide | Analysis | Algorithms
Journal Article
Computer aided design, ISSN 0010-4485, 08/2017, Volume 89, p. 1
In this paper we will continue in investigating 'contour method' and its using for the computation of rational parameterizations of canal surfaces without a... 
Shape | Transitions | Computer aided design--CAD | Barriers | 3-D technology | Contours | Envelope curves
Journal Article
Computer Aided Geometric Design, ISSN 0167-8396, 2007, Volume 24, Issue 7, pp. 410 - 426
The aim of this article is to focus on the investigation of such rationally parametrized hypersurfaces which admit rational convolutions generally, or in some... 
GRC hypersurfaces | Rational curves and surfaces | Convolution hypersurfaces | Quadratic triangular Bézier surfaces | Offsets | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | rational curves and surfaces | offsets | convolution hypersurfaces | quadratic triangular Bezier surfaces | SURFACES
Journal Article
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