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Topology Aware Stream Surfaces
Computer Graphics Forum, 2010AbstractWe present an algorithm that allows stream surfaces to recognize and adapt to vector field topology. Standard stream surface algorithms either refine the surface uncontrolled near critical points which slows down the computation considerably and may lead to a poor surface approximation.
Dominic Schneider +3 more
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Combinatorial Topology of Surfaces
Mathematics Magazine, 1955Tlhe first section of this paper will be devoted to the study of two particular surfaces. The methods used to treat thiese surfaces will then be extended to develop a classificationof surfaces, each class consisting of combinatorially eauivalent surfaces.
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Topological Evolution of Surfaces
1996Proceedings of the 1996 Conference on Graphics Interface, Toronto, Ontario, Canada, 22 - 24 May 1996, 194 ...
DeCarlo, Douglas, Gallier, Jean
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Differential Topology of Surfaces
2021Cohomology appears as soon as one wishes to understand globally problems that one can solve locally. The cohomology will be a bookkeeping device for the obstructions preventing the existence of global solutions, provided that there are local solutions.
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1987
In the previous section we have discussed the generation of groups by given operations, and we have repeatedly come up against infinite groups thereby. In this chapter we shall now deal exclusively with such groups, and use them to make a series of important applications to analysis situs or topology.
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In the previous section we have discussed the generation of groups by given operations, and we have repeatedly come up against infinite groups thereby. In this chapter we shall now deal exclusively with such groups, and use them to make a series of important applications to analysis situs or topology.
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2013
This chapter briefly reviews the fundamental concepts and theorems in algebraic topology [1], surface differential geometry [6], and surface Ricci flow [4, 7]. Detailed discussion on Ricci flow on general Riemannian manifolds can be found in [5]. Advanced topics on differential geometry related to Yamabe equations can be found in [9].
Wei Zeng, Xianfeng David Gu
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This chapter briefly reviews the fundamental concepts and theorems in algebraic topology [1], surface differential geometry [6], and surface Ricci flow [4, 7]. Detailed discussion on Ricci flow on general Riemannian manifolds can be found in [5]. Advanced topics on differential geometry related to Yamabe equations can be found in [9].
Wei Zeng, Xianfeng David Gu
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Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
exaly
1995
Our aim in this section is to show that a compact orientable surface is homeomorphic to a sphere with handles, under the assumption that the surface can be triangulated. The idea is to “flatten” it out, to realize the surface as a polygon in the plane, with certain identifications on the boundary edges, and then, by cutting and pasting, to simplify ...
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Our aim in this section is to show that a compact orientable surface is homeomorphic to a sphere with handles, under the assumption that the surface can be triangulated. The idea is to “flatten” it out, to realize the surface as a polygon in the plane, with certain identifications on the boundary edges, and then, by cutting and pasting, to simplify ...
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