A topological approach for surface reconstruction from sample points
Most algorithms for surface reconstruction from sample points rely on computationally
demanding operations to derive the reconstruction. In this paper we introduce an innovative
approach for generating 3D piecewise linear approximations from sample points that relies
strongly on topological information, thus reducing the computational cost and numerical
instabilities typically associated with geometric computations. Discrete Morse theory
provides the basis for a topological framework that supports a robust reconstruction …
demanding operations to derive the reconstruction. In this paper we introduce an innovative
approach for generating 3D piecewise linear approximations from sample points that relies
strongly on topological information, thus reducing the computational cost and numerical
instabilities typically associated with geometric computations. Discrete Morse theory
provides the basis for a topological framework that supports a robust reconstruction …
[PDF][PDF] A topological approach for surface reconstruction from sample points
LG Nonato, MCF de Oliveira - CEP, 2007 - academia.edu
Most algorithms for surface reconstruction from sample points rely on computationally
demanding operations to derive the reconstruction. In this paper we introduce an innovative
approach for generating 3D piecewise linear approximations from sample points that relies
strongly on topological information, thus reducing the computational cost and numerical
instabilities typically associated with geometric computations. Discrete Morse theory
provides the basis for a topological framework that supports a robust reconstruction …
demanding operations to derive the reconstruction. In this paper we introduce an innovative
approach for generating 3D piecewise linear approximations from sample points that relies
strongly on topological information, thus reducing the computational cost and numerical
instabilities typically associated with geometric computations. Discrete Morse theory
provides the basis for a topological framework that supports a robust reconstruction …
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