WAVELET REPRESENTATIONS OF CURVES AND SURFACES

Dan Popescu, 
CSIRO, Mathematical and Information Sciences

**Note: special time:** Tuesday 18 May at 2pm

Abstract

The ever-growing ammounts of data we have to deal with in virtually all fields of science and its practical application have let to the idea of multiresolution representations - that is, representations allowing for data to be accessed at various levels of detail.

Graphical objects like curves and surfaces are the building blocks in a large number of applictions related to visualiation and virtual environments. We present a class of representations for such objects, based on linear subdivision, that leads to hierarchical multiresolution representations. The resulting schemes are flexible (adjustable basis functions) and efficient (linear-time algorithms).

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