Zobrazeno 1 - 10
of 112
pro vyhledávání: '"Ulrich Pinkall"'
Publikováno v:
ACM Transactions on Graphics. 40:1-17
Smooth curves and surfaces can be characterized as minimizers of squared curvature bending energies subject to constraints. In the univariate case with an isometry (length) constraint this leads to classic non-linear splines. For surfaces, isometry i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c4b8ea7375520d720a8a725a8c4e97f6
https://doi.org/10.1145/3450626.3459759
https://doi.org/10.1145/3450626.3459759
Publikováno v:
ACM Transactions on Graphics. 38:1-14
We introduce variable thickness, viscous vortex filaments. These can model such varied phenomena as underwater bubble rings or the intricate "chandeliers" formed by ink dropping into fluid. Treating the evolution of such filaments as an instance of N
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::453a0ee86f2e3996397098e4d00d334d
https://doi.org/10.1145/3306346.3322962
https://doi.org/10.1145/3306346.3322962
Autor:
Ulrich Pinkall, Boris Springborn
Liouville’s theorem says that in dimension greater than two, all conformal maps are Möbius transformations. We prove an analogous statement about simplicial complexes, where two simplicial complexes are considered discretely conformally equivalent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a3ca2b3cee15b811992331f7f3d9a00b
Publikováno v:
Springer Proceedings in Mathematics & Statistics ISBN: 9783030685409
We introduce a family of variational functionals for spinor fields on a compact Riemann surface M that can be used to find close-to-conformal immersions of M into \(\mathbb {R}^3\) in a prescribed regular homotopy class. Numerical experiments indicat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::627e063f33b83f4f16048d096896d69d
https://doi.org/10.1007/978-3-030-68541-6_2
https://doi.org/10.1007/978-3-030-68541-6_2
Starting from the vortex filament flow introduced in 1906 by Da Rios, there is a hierarchy of commuting geometric flows on space curves. The traditional approach relates those flows to the nonlinear Schrodinger hierarchy satisfied by the complex curv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd93023b5862cb4cee0d07ae4b5dbee0
https://doi.org/10.1017/9781108773287.013
https://doi.org/10.1017/9781108773287.013
Publikováno v:
ACM Transactions on Graphics. 37:1-17
We study the isometric immersion problem for orientable surface triangle meshes endowed with only a metric: given the combinatorics of the mesh together with edge lengths, approximate an isometric immersion into R 3 . To address this challenge we dev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::81ad37e72c1b946bd2c5f6bb3acf17e4
https://doi.org/10.1145/3197517.3201276
https://doi.org/10.1145/3197517.3201276
Autor:
Ulrich Pinkall, Wai Yeung Lam
Publikováno v:
Discrete & Computational Geometry. 60:831-858
We study infinitesimal conformal deformations of a triangulated surface in Euclidean space and investigate the change in its extrinsic geometry. A deformation of vertices is conformal if it preserves length cross-ratios. On one hand, conformal deform
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76e325b0ce2a35d25a731a884aa82050
https://doi.org/10.1007/s00454-018-0008-y
https://doi.org/10.1007/s00454-018-0008-y
Publikováno v:
ACM Transactions on Graphics. 34:1-13
Conformal deformations are infinitesimal scale-rotations, which can be parameterized by quaternions. The condition that such a quaternion field gives rise to a conformal deformation is nonlinear and in any case only admits Möbius transformations as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2910cc8f41aaf7768c22d540bc19908b
https://doi.org/10.1145/2766916
https://doi.org/10.1145/2766916
Publikováno v:
ACM Transactions on Graphics. 34:1-11
Stripe patterns are ubiquitous in nature, describing macroscopic phenomena such as stripes on plants and animals, down to material impurities on the atomic scale. We propose a method for synthesizing stripe patterns on triangulated surfaces, where si
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ac57dd3946e2cfdac14e10fbf88b8677
https://doi.org/10.1145/2767000
https://doi.org/10.1145/2767000
Publikováno v:
Symposium on Computer Animation
We propose a novel method to extract hierarchies of vortex filaments from given three-dimensional flow velocity fields. We call these collections of filaments Hierarchical Vorticity Skeletons (HVS). They extract multi-scale information from the input
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::17741844005884efd16830d3a15ee6a3
https://doi.org/10.1145/3099564.3099569
https://doi.org/10.1145/3099564.3099569