Integer algorithm for rendering curved surfaces

C.W.A.M. Overveld, van

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)


An algorithm for rendering free-form surfaces is addressed, starting from boundary representation. The method combines bilinear blending and bicubic interpolation in one recursive scheme to allow for ‘on-the-fly’ texture mapping of colour texture, normal vector modulation, and also some forms of geometric transformations. A correction against undersampling the texture maps (anti-aliasing) takes place as a preprocess to avoid slowing down the rendering process. As the bilinear part of the algorithm is based on the generation of piecewise cubic boundary curves, a class of boundary curve algorithms, which includes the de Casteljau algorithm for four-point Bézier curves, is derived, starting from some general symmetry considerations.
Original languageEnglish
Pages (from-to)197-211
Number of pages15
JournalComputer-Aided Design
Issue number4
Publication statusPublished - 1988


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