Advertisement
Published in:
1998 | OriginalPaper | Chapter
Fill-in Regions
Authors : C. Labenski, B. Piper
Published in: Geometric Modelling
Publisher: Springer Vienna
Included in: Professional Book Archive
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We approach the problem of three-dimensional shape preserving interpolation by defining fill-in regions that are regions in space which contain all interpolating curves with a desired shape. These regions are defined for special types of curves called coils, which are non-strict versions of curves of geometric order three in three dimensions. We establish that the fill-in regions are a set of tetrahedra and show how they must be restricted to form interpolating curves.