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A topological hierarchy for functions on triangulated surfaces
IEEE Transactions on Visualization and Computer Graphics, 2004We combine topological and geometric methods to construct a multiresolution representation for a function over a two-dimensional domain. In a preprocessing stage, we create the Morse-Smale complex of the function and progressively simplify its topology by cancelling pairs of critical points.
Peer-Timo Bremer +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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NURBS Hyper-Surfaces for 3D Topology Optimization Problems
Mechanics of Advanced Materials and Structures, 2021Marco Montemurro, Jérôme Pailhès
exaly
Topological design of sculptured surfaces
Proceedings of the 19th annual conference on Computer graphics and interactive techniques, 1992Helaman Ferguson +2 more
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Stress-Based Topology Optimization Through Non-Uniform Rational Basis Spline Hyper-Surfaces
Mechanics of Advanced Materials and Structures, 2022Marco Montemurro
exaly