Dynamic sculpting and deformation of point set surfaces

This paper presents a novel paradigm for point set surface editing, which takes advantages of the potential of implicit surfaces, the strength of physics based modeling techniques, and the simplicity of point sampled surfaces. Our point set surface is evaluated as the zero set of the weighted sum of the collection of the scalar trivariate B-spline functions defined over the local domain of each point sample. The implicit representation of the point set surfaces allows the user to easily modify the topology of the sculpted objects. The deformation of the surfaces is conducted by dynamically modifying the local reference domains, as well as their scalar control coefficients. We have developed a variety of sculpting toolkits that can dynamically manipulate the implicit point set surface and easily perform CSG Boolean operation on arbitrarily shaped objects. Our research work complements existing point rendering and modeling pipelines for efficient interactive sculpting and deformation.