Interactive function-based artistic shape modeling

This paper addresses interactive function-based shape modeling where relatively small formulas are used rather than thousands of polygons. Interactive modification of the function model with concurrent visualization of the respective polygonal mesh provides both interactivity and any required level of detail leading to a photorealistic appearance of the resulting shapes. We have proposed a rendering method capable of handling local shape modifications with any desired precision. We have also proposed methods which let us accelerate the final function evaluation - a common bottleneck for function-based shape modeling. Finally, we describe applications of interactive function-based shape modeling to photorealistic virtual embossing and carving.