Výsledky vyhledávání - "Dominik Mokriš"

Low rank interpolation of boundary spline curves

Publikováno v: Computer Aided Geometric Design. 55:48-68

The coefficients of a tensor-product spline surface in R d with m × n control points form a tensor of order 3 and dimension ( m , n , d ) . Motivated by applications in isogeometric analysis we analyze the rank of this tensor. In particular, we prop

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a9e4841d8c462d81039d0cb514a1e19f
https://doi.org/10.1016/j.cagd.2017.03.012

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27 variants of Tutte's theorem for plane near-triangulations and an application to periodic spline surface fitting

Autor: Lisa Groiss, Bert Jüttler, Dominik Mokriš

Publikováno v: Computer Aided Geometric Design. 85:101975

The theoretical basis of Floater's parameterization technique for triangulated surfaces is simultaneously a generalization (to non-barycentric weights) and a specialization (to a plane near-triangulation, which is an embedding of a planar graph with

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::937f1d99844895e8d4683361747ff933
https://doi.org/10.1016/j.cagd.2021.101975

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On the error in transfinite interpolation by low-rank functions

Autor: Nira Dyn, Dominik Mokriš, Bert Jüttler

Publikováno v: Journal of Approximation Theory. 253:105379

Given a bivariate function and a finite rectangular grid, we perform transfinite interpolation at all the points on the grid lines. By noting the uniqueness of interpolation by rank- n functions, we prove that the result is identical to the output of

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::89a7f31a2aac794d7256ff464fcbbcbb
https://doi.org/10.1016/j.jat.2020.105379

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A Versatile Strategy for the Implementation of Adaptive Splines

Autor: Andrea Bressan, Dominik Mokriš

Publikováno v: Mathematical Methods for Curves and Surfaces ISBN: 9783319678849
MMCS

This paper presents an implementation framework for spline spaces over T-meshes (and their d-dimensional analogs). The aim is to share code between the implementations of several spline spaces. This is achieved by reducing evaluation to a generalized

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ac17a6c549b32830a2a410a819f5d621
https://doi.org/10.1007/978-3-319-67885-6_3

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On the completeness of hierarchical tensor-product B-splines

Autor: Bert Jüttler, Dominik Mokriš, Carlotta Giannelli

Publikováno v: Journal of Computational and Applied Mathematics. 271:53-70

Given a grid in R d , consisting of d bi-infinite sequences of hyperplanes (possibly with multiplicities) orthogonal to the d axes of the coordinate system, we consider the spaces of tensor-product spline functions of a given degree on a multi-cell d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dff60ba92b9a921089eb0103aeaa3481
https://doi.org/10.1016/j.cam.2014.04.001

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TDHB-splines: The truncated decoupled basis of hierarchical tensor-product splines

Autor: Dominik Mokriš, Bert Jüttler

Publikováno v: Computer Aided Geometric Design. 31:531-544

We introduce a novel basis for multivariate hierarchical tensor-product spline spaces. Our construction combines the truncation mechanism (Giannelli et al., 2012) with the idea of decoupling basis functions (Mokris et al., 2014). While the first mech

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::168ead8e3008f943051aaedc63d873f5
https://doi.org/10.1016/j.cagd.2014.05.004

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