论文信息 - Surfaces defined on surfaces

Surfaces defined on surfaces

Abstract Two methods for constructing interpolants to data arbitrarily located on convex surfaces are presented. One is a modified Shepard's method [Barnhill, Piper & Rescorla'87] and the other is a triangular-based method. The latter is an extension of triangular-based methods on a sphere [Lawson '84], [Renka '84] and [Nielson & Ramaraj '87], to arbitrary convex surfaces. The two methods are compared both numerically and by means of color interactive computer graphics on a set of examples.

Robert E. Barnhill | H. S. Ou | R. Barnhill | H. Ou

[1] Gregory M. Nielson,et al. Interpolation over a sphere based upon a minimum norm network , 1987, Comput. Aided Geom. Des..

[2] W. J. Gordon,et al. Smooth interpolation in triangles , 1973 .

[3] Robert E. Barnhill,et al. Surfaces in computer aided geometric design: a survey with new results , 1985, Comput. Aided Geom. Des..

[4] Charles L. Lawson,et al. $C^1$ surface interpolation for scattered data on a sphere , 1984 .

[5] Thomas W. Sederberg,et al. Free-form deformation of solid geometric models , 1986, SIGGRAPH.

[6] G. Nielson. The side-vertex method for interpolation in triangles☆ , 1979 .

[7] T. A. Foley. Interpolation of scattered data on a spherical domain , 1990 .

[8] Robert J. Renka,et al. Interpolation of data on the surface of a sphere , 1984, TOMS.