Part I - Introduction and Numerical Tools

Introduction to non-rigid world - Rock, Paper, Scissors - Invariant similarity - Invariant correspondence - Analysis and synthesis - Landscape - Two perspectives - Metric model - Isometry - Examples of metrics - Rigid isometry - Hausdorff distance - ICP - Fairy tale shape similarity problem - Non-rigid similarity - 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