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Convolution Filtering of Continuous Signed Distance Fields for Polygonal Meshes
Author(s) -
Sanchez Mathieu,
Fryazinov Oleg,
Fayolle PierreAlain,
Pasko Alexander
Publication year - 2015
Publication title -
computer graphics forum
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.578
H-Index - 120
eISSN - 1467-8659
pISSN - 0167-7055
DOI - 10.1111/cgf.12599
Subject(s) - polygon mesh , signed distance function , classification of discontinuities , smoothing , computer science , distance transform , filter (signal processing) , convolution (computer science) , algorithm , volume mesh , function (biology) , mesh generation , mathematics , computer graphics (images) , artificial intelligence , computer vision , image (mathematics) , mathematical analysis , finite element method , physics , evolutionary biology , biology , artificial neural network , thermodynamics
Signed distance fields obtained from polygonal meshes are commonly used in various applications. However, they can have C 1 discontinuities causing creases to appear when applying operations such as blending or metamorphosis. The focus of this work is to efficiently evaluate the signed distance function and to apply a smoothing filter to it while preserving the shape of the initial mesh. The resulting function is smooth almost everywhere, while preserving the exact shape of the polygonal mesh. Due to its low complexity, the proposed filtering technique remains fast compared to its main alternatives providing C 1 ‐continuous distance field approximation. Several applications are presented such as blending, metamorphosis and heterogeneous modelling with polygonal meshes.