Convolution Filtering of Continuous Signed Distance Fields for Polygonal Meshes

Mathieu Sanchez, Oleg Fryazinov, Pierre Alain Fayolle, Alexander Pasko

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)277-288
Number of pages12
JournalComputer Graphics Forum
Issue number6
Publication statusPublished - 1 Sep 2015
Externally publishedYes


  • distance function
  • geometric modelling
  • I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling - Geometric algorithms
  • implicit surfaces
  • languages and systems
  • polygonal modelling
  • signed distance fields


Dive into the research topics of 'Convolution Filtering of Continuous Signed Distance Fields for Polygonal Meshes'. Together they form a unique fingerprint.

Cite this