Fig. 46.

Generation of conforming triangulations along the intersection of two patches: a definition of Bézier segments of the intersection curve $\widehat{\mathit{C}}(\tilde{x})$ and the trimming curves ${\mathit{C}}_1^t(\tilde{u})$ and ${\mathit{C}}_2^t(\tilde{s}).$ b Closest point projection to find corresponding points on the other curves. c Addition of Bézier segments due to the exchanged points and specification of associated triangular regions. Segments are marked by crosses, black points, and white points based on their origin. The offset between $\widehat{\mathit{C}}(\tilde{x})$ and the images $\mathcal{X}\circ {\mathit{C}}_1^t(\tilde{u})$ and $\mathcal{X}\circ {\mathit{C}}_2^t(\tilde{s})$ shall emphasize that they do not coincide in model space. In b, arrows indicate the projections performed