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.pptx (37 MB)
Dimensions of media - Landscape - Shapes vs images - Non-rigid world from macro to nano - Rock, paper, scissors - Similarity and correspondence - Structure - Invariance - Analysis and synthesis - Metric model - Isometry - Rigid isometry - Iterative closest point - Canonical forms - Isometric embedding - Mapmaker's problem - Minimum distortion embedding - Multidimensional scaling - Discrete embedding problem - Minimization of quadratic stress - Shapes as graphs - Discrete geodesic problem - Dijkstra's algorithm - Troubles with the metric - Metrication error - Eikonal equation - Fast marching - Raster scan fast marching - Parallelization - Topological invariance - Heat kernels - Probabilistic interpretation - Heat kernel computation - Laplace-Beltrami operator on a mesh - Diffusion distance - Local structures - Heat kernel signature - Combining local and global structures - Scale invariance - Commute time distance - Scale-invariance heat kernel signature - Self-similarity and symmetry - Extrinsic vs intrinsic symmetry - Finding permutations - Initial correspondences - Pruning - Completion by composition - Local refinement - Intrinsic regularity - Detail substitution - Scan completion and healing - Super-resolution - Structural correspondence - Texture transfer and substitution - Calculus of shapes - Metamorphing - Face caricaturization - Summary
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