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Numerical Analysis in Visual Computing: not too little, not too much

Banff International Research Station for Mathematical Innovation and Discovery

Visual computing is a wide area that includes computer graphics and image processing, where the 'eye-norm' rules. I will briefly discuss two case studies involving numerical methods and analysis applied to this area. The first involves motion simulation and calibration of soft objects such as cloth, plants and skin. The governing elastodynamics PDE system, discretized in space already at the variational level using FEM,leads to a large, expensive to assemble, dynamical system in time, where the damped motion may mask highly oscillatory stiffness. Geometric integration ideas are making their way into visual computing research these days in search for more quantitative computations. The other case study involves some image processing problems where theremis a premium for local approaches that do not necessarily use underlying PDEs. Here the trend is in the other direction. I will demonstrate and discuss.

Mathematics; Numerical analysis; Mechanics of deformable solids; Applied computer science

video/mp4

Author affiliation: University of British Columbia

2018-03-25

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/64921

Unreviewed

http://creativecommons.org/licenses/by-nc-nd/4.0/