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- Rida T. Farouki, Zbynek Sír
- Computer Aided Geometric Design
- 2011

Article history: Received 11 August 2010 Received in revised form 16 December 2010 Accepted 10 January 2011 Available online 12 January 2011

- Zbynek Sír, Bert Jüttler
- IMA Conference on the Mathematics of Surfaces
- 2005

As observed by Farouki et al. [9], any set of C space boundary data (two points with associated first derivatives) can be interpolated by a Pythagorean hodograph (PH) curve of degree 5. In general… (More)

- Zbynek Sír, Robert Feichtinger, Bert Jüttler
- Computer-Aided Design
- 2006

This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on approximate conversion of the planar curve into circular splines and… (More)

- Zbynek Sír, Bert Jüttler
- J. Computational Applied Mathematics
- 2015

We consider the space of rational functions of degree n with a common denominator. It is shown that the corresponding rational Bézier curves admit up to 1 + n! different de Casteljau-type algorithms,… (More)

Boundary approximation of planar shapes by circular arcs ha s quantitative and qualitative advantages compared to using straight-line segments. We demonstrate t his by way of three basic and frequent… (More)

- Jens Gravesen, Bert Jüttler, Zbynek Sír
- Computer Aided Geometric Design
- 2008

We analyze the class of surfaces which are equipped with rational support functions. Any rational support function can be decomposed into a symmetric (even) and an antisymmetric (odd) part. We… (More)

- Zbynek Sír, Bert Jüttler
- Computer Aided Geometric Design
- 2005

Starting with a given planar cubic curve [x(t), y(t)]T, we construct Pythagorean hodograph (PH) space curves of the form [x(t), y(t), z(t)]T in Euclidean and in Minkowski space, which interpolate the… (More)

- Martin Aigner, Zbynek Sír, Bert Jüttler
- GMP
- 2006

The problem of approximating a given set of data points by splines composed of Pythagorean Hodograph (PH) curves is addressed. In order to solve this highly non-linear problem, we formulate an… (More)

- Eva Blazková, Zbynek Sír
- Computer Aided Geometric Design
- 2014

Algorithms describing the topology of real algebraic curves search primarily the singular points and they are usually based on algebraic techniques applied directly to the curve equation. We adopt a… (More)

- Eva Blazková, Zbynek Sír
- MMCS
- 2012

Describing the topology of real algebraic curves is a classical problem in computational algebraic geometry. It is usually based on algebraic techniques applied directly to the curve equation. We use… (More)