C. Cottin et R. Vandamme, CONSTRUCTION OF A VC1 INTERPOLANT OVER TRIANGLES VIA EDGE DELETION, Computer aided geometric design, 11(6), 1994, pp. 675-686
We present a construction of a visually smooth surface which interpola
tes to position values and normal vectors of randomly distributed poin
ts on a 3D object. The method is local and uses quartic triangular and
bicubic quadrilateral patches without splits. It heavily relies on an
edge deleting algorithm which, starting from a given triangulation, d
erives a suitable combination of three- and four sided patches.