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of 19
pro vyhledávání: '"Techter, Jan"'
Conjugate line parametrizations of surfaces were first discretized almost a century ago as quad meshes with planar faces. With the recent development of discrete differential geometry, two discretizations of principal curvature line parametrizations
Externí odkaz:
http://arxiv.org/abs/2409.11322
Classical (Euclidean) Laguerre geometry studies oriented hyperplanes, oriented hyperspheres, and their oriented contact in Euclidean space. We describe how this can be generalized to arbitrary Cayley-Klein spaces, in particular hyperbolic and ellipti
Externí odkaz:
http://arxiv.org/abs/2009.00978
Canonical parametrisations of classical confocal coordinate systems are introduced and exploited to construct non-planar analogues of incircular (IC) nets on individual quadrics and systems of confocal quadrics. Intimate connections with classical de
Externí odkaz:
http://arxiv.org/abs/1908.00856
We present a procedure which allows one to integrate explicitly the class of checkerboard IC-nets which has recently been introduced as a generalisation of incircular (IC) nets. The latter class of privileged congruences of lines in the plane is know
Externí odkaz:
http://arxiv.org/abs/1808.07254
We propose a discretization of classical confocal coordinates. It is based on a novel characterization thereof as factorizable orthogonal coordinate systems. Our geometric discretization leads to factorizable discrete nets with a novel discrete analo
Externí odkaz:
http://arxiv.org/abs/1708.06800
Publikováno v:
"Advances in Discrete Differential Geometry", ed. A. I. Bobenko, pp. 421-439, Springer, 2016
We describe a project, called the "Discretization in Geometry and Dynamics Gallery", or DGD Gallery for short, whose goal is to store geometric data and to make it publicly available. The DGD Gallery offers an online web service for the storage, shar
Externí odkaz:
http://arxiv.org/abs/1512.04364
Publikováno v:
Journal of Integrable Systems (2016) Volume 1:1, 1-34
Confocal quadrics lie at the heart of the system of confocal coordinates (also called elliptic coordinates, after Jacobi). We suggest a discretization which respects two crucial properties of confocal coordinates: separability and all two-dimensional
Externí odkaz:
http://arxiv.org/abs/1511.01777
Autor:
Techter, Jan
Confocal quadrics constitute a special example of orthogonal coordinate systems. In this cumulative thesis we propose two approaches to the discretization of confocal coordinates, and study the closely related checkerboard incircular nets. First, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::713997ead365286f406da38ecce946da
https://depositonce.tu-berlin.de/handle/11303/12651
https://depositonce.tu-berlin.de/handle/11303/12651
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