Conversion of B-rep CAD models into globally G1 triangular splines

Hettinga, G. J. & Kosinka, J., Feb-2020, In : Computer aided geometric design. 77, 16 p., 101832.

Research output: Contribution to journalArticleAcademicpeer-review

Existing techniques that convert B-rep (boundary representation) patches into Clough-Tocher splines guarantee watertight, that is C0, conversion results across B-rep edges. In contrast, our approach ensures global tangent-plane, that is G1, continuity of the converted B-rep CAD models. We achieve this by careful boundary curve and normal vector management, and by converting the input models into Shirman-Séquin macro-elements near their (trimmed) B-rep edges. We propose several different variants and compare them with respect to their locality, visual quality, and difference with the input B-rep CAD model. Although the same global G1 continuity can also be achieved by conversion techniques based on subdivision surfaces, our approach uses triangular splines and thus enjoys full compatibility with CAD.

Original languageEnglish
Article number101832
Number of pages16
JournalComputer aided geometric design
Publication statusPublished - Feb-2020


  • Bézier triangle, CAD model, Clough-Tocher spline, Shirman-Séquin spline, SURFACES

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