Michael Lounsbery, Tony D. DeRose, Joe Warren
In this article, we present a new class of wavelets, based on
subdivision surfaces, that radically extends the class of representable functions. Whereas previous two-dimensional methods were restricted to functions defined on R, the subdivision wavelets developed here may be applied to functions defined on compact surfaces of arbitrary topological type. We envision many applications of this work, including continuous level-of-detail control for graphics rendering, compression of geometric models, and acceleration of global illumination algorithms. Level-ofdetail control for spherical domains is illustrated using two examples: shape approximation of a polyhedral model, and color approximation of global terrain data.
Available in ACM Transactions on Graphics, Vol. 16, No. 1, January 1997.