Convolution Filtering of Continuous Signed Distance Fields for Polygonal Meshes

Signed distance fields obtained from polygonal meshes are commonly used in various applications. However, they can have C1 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 funct...

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Vydáno v:Computer Graphics Forum Ročník 34; číslo 6; s. 277 - 288
Hlavní autoři: Sanchez, Mathieu, Fryazinov, Oleg, Fayolle, Pierre-Alain, Pasko, Alexander
Médium: Journal Article
Jazyk:angličtina
Vydáno: Oxford Blackwell Publishing Ltd 01.09.2015
Wiley
Témata:
Analysis
Approximation
Blending
distance function
Filtering
Filtration
Finite element method
geometric modelling
I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Geometric algorithms
Image processing systems
implicit surfaces
languages and systems
Mathematical analysis
Mathematical models
polygonal modelling
Preserving
signed distance fields
Studies
Topological manifolds
ISSN:0167-7055, 1467-8659
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Shrnutí:Signed distance fields obtained from polygonal meshes are commonly used in various applications. However, they can have C1 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 C1‐continuous distance field approximation. Several applications are presented such as blending, metamorphosis and heterogeneous modelling with polygonal meshes. Signed distance fields obtained from polygonal meshes are commonly used in various applications. However, they can have C1 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 C1‐continuous distance field approximation. Several applications are presented such as blending, metamorphosis and heterogeneous modelling with polygonal meshes.
Bibliografie:istex:47C33E742FE1EF986FE7BD86E7BBBDF3FD5C5A3C
ark:/67375/WNG-X14S26HZ-Z
ArticleID:CGF12599
ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12599