THE UNIVERSITY OF CALGARY Interactive Modeling with Implicit Surfaces by Ryan Schmidt A THESIS SUBMITTED TO THE FACULTY OF GRADUATE STUDIES IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE
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چکیده
Interactive tools for shape modeling with hierarchical implicit surfaces have been limited both by the high computational cost of visualization, and the lack of techniques for direct surface manipulation. To address the visualization issue, Hierarchical Spatial Caching is developed. This novel technique combines caching and spatial approximation to accelerate queries of the functional model tree. By reducing the cost of evaluating cached branches from O(N) to O(1), an order-of-magnitude improvement in visualization speed is realized. A new implicit sweep surface formulation which supports direct manipulation of the sweep profile is also developed, providing a powerful and flexible free-form implicit primitive. These new techniques form the core of a proofof-concept interactive modeling environment, called ShapeShop. ShapeShop provides a level of interactive control over hierarchical implicit models which has not been previously available. A survey of current techniques for shape modeling with implicit surfaces is also provided.
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