Multiresolution for Interactive Modeling

In the past three decades the field of Computer Graphics has experienced a revolution, benefiting from significant research and technical achievements. Creating detailed digital content is a major task in the Game, Film, and CAD industries, and requires well-constructed, high quality geometric models. However, even with sophisticated software packages, geometric modeling is still a challenging, tedious and time consuming task. This is due to the mathematical foundation of geometric models, our ways of interacting with them, and the augmentation of these geometric models with respect to their macro- and microscopic character.

 
In this talk, some of the recent works of my research group will be described, specifically works focused on developing efficient methods for creating intuitive and flexible multiscale geometric objects (curves, surfaces and volumes) through interactive modeling. To support a more natural interface with a better fit to the ubiquity of tactile devices, sketch-based and sculpt-based interfaces are employed. The target mathematical representation is a multiresolution model, wherein a high-resolution model can be decomposed economically (in terms of time and storage) into low resolution model and detail information (wavelets coefficients).  In addition a data structure is presented that naturally supports multiresolution and hierarchical representations of objects.