Multiresolution for Interactive Modeling

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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 industries such as Game, Film and CAD, 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 issue is due to the mathematical foundation of geometric models, our way of interacting with them, and the augmenting of these geometric models with respect to their macro- and microscopic character. This research program tries to address the challenge of geometric modeling by 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 considered for this program. The target mathematical representation is a multiresolution model, wherein a high-resolution model can be decomposed economically (in terms of time and storage) into a low resolution model and detail information (wavelets coefficients). Multiscale details are added by augmenting sketched features (e.g. creases) on base surfaces or volumes without a large disturbance of the geometry or connectivity of these base models. An important novel aspect of the proposed research is to develop a multiresolution framework that preserves augmented features properly at different resolutions, while keeping the pre-processing time and memory requirements low. These augmented features can be applied interactively or inherited from datasets. To create efficient methods, it is also necessary to explore a data structure that naturally supports multiresolution and hierarchical representations of objects.