Efficient Lipschitz function evaluation for CSG implicit surfaces

V.P. Phap Nguyen, H.M.M. Wetering, van de

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review


The rendering of an implicit surface requires many function evaluations of the underlying implicit function. The time efficiency of the rendering is dominated by the number of function evaluations times the efficiency of these evaluations. If the implicit surface is created by means of a constructive solid geometry (CSG) model, the function evaluations can be made more efficient if the underlying function is a Lipschitz function. In this paper, implicit surfaces defined as a blended CSG model with Lipschitz functions are considered. It is shown how bounding volumes can be integrated in this framework and how they can be exploited to improve the evaluation efficiency
Original languageEnglish
Title of host publicationProceedings International Conference on Shape Modeling and Applications (Genova, Italy, May 7-11, 2001)
EditorsA. Pasko, M. Spagnuolo
Place of PublicationLos Alamitos, CA
PublisherIEEE Computer Society
ISBN (Print)0-7695-0853-7
Publication statusPublished - 2001


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