Zobrazeno 1 - 10
of 185
pro vyhledávání: '"Ulrich Reif"'
Publikováno v:
Journal of Approximation Theory. 289:105883
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cd1362f555c3d039b3fd62f7b9dec869
https://doi.org/10.1016/j.jat.2023.105883
https://doi.org/10.1016/j.jat.2023.105883
Publikováno v:
Advances in Computational Mathematics. 48
We present a method to stabilize bases with local supports by means of extension. It generalizes the known approach for tensor product B-splines to a much broader class of functions, which includes hierarchical and weighted variants of polynomial, tr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c4651fcfd40d3b2d5ce61f36449a1cea
https://doi.org/10.1007/s10444-022-09945-3
https://doi.org/10.1007/s10444-022-09945-3
Autor:
Florian Martin, Ulrich Reif
Publikováno v:
Geometric Challenges in Isogeometric Analysis ISBN: 9783030923129
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::815f5f1135652b49a2727b1067d6e32c
https://doi.org/10.1007/978-3-030-92313-6_6
https://doi.org/10.1007/978-3-030-92313-6_6
Autor:
Benjamin Marussig, Ulrich Reif
We analyze surface patches with a corner that is rounded in the sense that the partial derivatives at that point are antiparallel. Sufficient conditions for $G^1$ smoothness are given, which, up to a certain degenerate case, are also necessary. Furth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1d96cbb83a2f92e4d0899cc5aedaf1c
Autor:
Andreas Weinmann, Ulrich Reif
Publikováno v:
Advances in Computational Mathematics. 47
We consider geometric Hermite subdivision for planar curves, i.e., iteratively refining an input polygon with additional tangent or normal vector information sitting in the vertices. The building block for the (nonlinear) subdivision schemes we propo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7c36534a86ded6d8427d0724cdd8e611
https://doi.org/10.1007/s10444-021-09876-5
https://doi.org/10.1007/s10444-021-09876-5
Autor:
Malcolm A. Sabin, Ulrich Reif
Publikováno v:
Journal of Computational and Applied Mathematics. 349:523-531
Subdivision has been an active research topic for about 40 years, and it has seen commercial exploitation in animated Computer Graphics. The question has to be asked: ‘Is there anything left to do research-wise?’ This note contains the authors’
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::04520ac942b3c840ea91f5c2697d0ab7
https://doi.org/10.1016/j.cam.2018.06.012
https://doi.org/10.1016/j.cam.2018.06.012
Autor:
Jan Hakenberg, Ulrich Reif
Publikováno v:
Applied Mathematics and Computation. 272:2-19
We present a method for the precise determination of the volume of subsets of R d which are bounded by a hypersurface parametrized by a set of refinable functions. The derivation is based on the linear refinement equations rather than on closed form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fafd47fc02cba18d129b36bab83c9d97
https://doi.org/10.1016/j.amc.2015.06.050
https://doi.org/10.1016/j.amc.2015.06.050
Publikováno v:
Constructive Approximation. 42:425-458
We present a framework for analyzing nonlinear $$\mathbb {R}^d$$ -valued subdivision schemes which are geometric in the sense that they commute with similarities in $$\mathbb {R}^d$$ . It allows us to establish $$C^{1,\alpha }$$ -regularity for arbit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce6bf42a235c1b7f2ac79140fec85d2c
https://doi.org/10.1007/s00365-015-9305-3
https://doi.org/10.1007/s00365-015-9305-3
Autor:
Ulrich Reif, Claudia Möller
Publikováno v:
Linear Algebra and its Applications. 463:154-170
We suggest a novel method to determine the joint spectral radius of finite sets of matrices by validating the finiteness property. It is based on finding a certain finite tree with nodes representing sets of matrix products. Our approach accounts for
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::227fd8eef093fff1044446b84641c8f5
https://doi.org/10.1016/j.laa.2014.08.009
https://doi.org/10.1016/j.laa.2014.08.009
Autor:
Nada Sissouno, Ulrich Reif
Publikováno v:
Computer Aided Geometric Design. 31:510-520
When approximating functions defined on some domain ? ? R d , standard tensor product splines reveal sub-optimal behavior, in particular, if ? is non-convex. As an alternative, we suggest a natural diversification strategy for the B-spline basis { B
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::784d74a8efda638fee08fb00ebf7bd8e
https://doi.org/10.1016/j.cagd.2014.05.002
https://doi.org/10.1016/j.cagd.2014.05.002