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of 149
pro vyhledávání: '"ŠÍR, Zbyněk"'
This paper presents PHODCOS, an algorithm that assigns a moving coordinate system to a given curve. The parametric functions underlying the coordinate system, i.e., the path function, the moving frame and its angular velocity, are exact -- approximat
Externí odkaz:
http://arxiv.org/abs/2410.07750
When a moving frame defined along a space curve is required to keep an axis aligned with the tangent direction of motion, the use of rotation-minimizing frames (RMF) avoids unnecessary rotations in the normal plane. The construction of rigid body mot
Externí odkaz:
http://arxiv.org/abs/2405.14229
Autor:
Schröcker, Hans-Peter, Šìr, Zbyněk
We solve the so far open problem of constructing all spatial rational curves with rational arc length functions. More precisely, we present three different methods for this construction. The first method adapts a recent approach of (Kalkan et al. 202
Externí odkaz:
http://arxiv.org/abs/2310.08047
Autor:
Schröcker, Hans-Peter, Šìr, Zbyněk
Using a residuum approach, we provide a complete description of the space of the rational spatial curves of given tangent directions. The rational Pythagorean hodograph curves are obtained as a special case when the norm of the direction field is a p
Externí odkaz:
http://arxiv.org/abs/2302.04632
Autor:
Schröcker, Hans-Peter, Šír, Zbyněk
All rational parametric curves with prescribed polynomial tangent direction form a vector space. Via tangent directions with rational norm, this includes the important case of rational Pythagorean hodograph curves. We study vector subspaces defined b
Externí odkaz:
http://arxiv.org/abs/2210.13177
Autor:
Schröcker, Hans-Peter, Šír, Zbyněk
Publikováno v:
In Applied Mathematics and Computation 1 October 2024 478
Publikováno v:
In Journal of Computational and Applied Mathematics September 2024 447
We propose a new method for constructing rational spatial Pythagorean Hodograph (PH) curves based on determining a suitable rational framing motion. While the spherical component of the framing motion is arbitrary, the translation part is determined
Externí odkaz:
http://arxiv.org/abs/2111.04600
Publikováno v:
In Computer Aided Geometric Design December 2023 107
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