On C1-continuity of Wachspress quadrilateral patches Original Research Article

Wachspress quadrilateral patches have been recently studied in (Dahmen et al., 2000) for surface generation over quadrilateral domains. In the present paper, we study the conditions under which a composite quadrilateral patch will be C1. Similar to the Bézier patch, these C1-continuity conditions have been expressed in terms of Wachspress control points of the surface. We also determine a nice formula for k-th order (k⩾1) directional derivative of a quadrilateral patch. We conclude by giving numerical examples of C1-continuous Wachspress patches.