Combination of Triangular Patches

This surface construction generates a triangular patch from three triangular patches by combining them with rational quadratic functions. One boundary curve of each given patch forms the side of a curvilinear triangle, which is interpolated by the resulting patch. In the algorithm used, the resulting patch joins to the constituents with contact, preserving tangential continuity.

References:

M. Szilvasi-Nagy, "Filling Triangular Holes by Convex Combination of Surfaces," Per. Pol. Mech. Engrg., 47, 2003 pp. 81–89.

M. Szilvasi-Nagy and I. Szabó, -Continuous of Coons-Type Blending of Triangular Patches," KoG, Information Journal of Croatian Society of Constructive Geometry and Computer Graphics, 9, 2005 pp. 29–34.

M. Szilvasi-Nagy and I. Szabó, "Generalization of Coons' Construction," Computers & Graphics, 30, 2006 pp. 588–597.