Abstract
The problem of approximating a surface normal by linear interpolation across a surface facet is considered from a geometric point of view. This point of view makes the coordinate independence for triangular facets particularly easy to see, and provides some insight into the problem of non-uniqueness for the non-triangular case.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Cairns SS (1961) Introductory topology. Ronald Press, New York
Campbell SL, Meyer CD, Jr (1979) Generalized inverses of linear transformations. Pitman, London San Francisco Melbourne
Gouraud H (1971) Continuous shading of curved surfaces. IEEE Trans Comput C-20:623–629
Phong BT (1975) Illumination for computer generated pictures. Commun ACM 18(6):311–317
Strang G, Fix GJ (1973) An Analysis of the Finite Element Method. Prentice-Hall, Englewood Cliffs, NJ
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Low, R.J. Vector interpolation for surface normal calculation. The Visual Computer 5, 158–159 (1989). https://doi.org/10.1007/BF01901390
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01901390