Visual computing is a wide area that includes computer graphics and image processing, where the “eyeball-norm” rules. I will discuss two case studies involving numerical methods and analysis applied to this area.
The first case study involves motion simulation and calibration of soft objects such as plants, skin, and cloth. The governing elastodynamics PDE system, discretized in space al- ready at the variational level using co-rotated FEM, leads to a large, expensive to assemble, dynamical system in time, where the damped motion may mask highly oscillatory stiff- ness. An exponential differencing method will be described, in search for more quantitative computations.
The second case study involves some image processing problems, such as denoising, inpainting, image completion and finding salient features, where there is a premium for local approaches that do not necessarily use underlying PDEs. I will demonstrate and discuss.
Department of Computer Science, University of BC, Vancouver, Canada