Algorithms for interactive editing of level set models
2005 (English)In: Computer graphics forum (Print), ISSN 0167-7055, E-ISSN 1467-8659, Vol. 24, no 4, 821-841 p.Article in journal (Refereed) Published
Level set models combine a low-level volumetric representation, the mathematics of deformable implicit surfaces and powerful, robust numerical techniques to produce a novel approach to shape design. While these models offer many benefits, their large-scale representation and numerical requirements create significant challenges when developing an interactive system. This paper describes the collection of techniques and algorithms (some new, some pre-existing) needed to overcome these challenges and to create an interactive editing system for this new type of geometric model. We summarize the algorithms for producing level set input models and, more importantly, for localizingminimizing computation during the editing process. These algorithms include distance calculations, scan conversion, closest point determination, fast marching methods, bounding box creation, fast and incremental mesh extraction, numerical integration and narrow band techniques. Together these algorithms provide the capabilities required for interactive editing of level set models. © The Eurographics Association and Blackwell Publishing Ltd 2005.
Place, publisher, year, edition, pages
2005. Vol. 24, no 4, 821-841 p.
Implicit modelling, Interactive graphics, Level set methods, Mesh extraction, Narrow band techniques, Numerical methods, Scan conversion
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-50349DOI: 10.1111/j.1467-8659.2005.00904.xOAI: oai:DiVA.org:liu-50349DiVA: diva2:271245