Learning#
Siggraph 2010 Spectral Mesh Processing Course:
- http://alice.loria.fr/WIKI/index.php/Graphite/SpectralMeshProcessing
- http://alice.loria.fr/publications/papers/2010/spectral_course/spectral_course.pdf
- http://alice.loria.fr/WIKI/index.php/Graphite/ManifoldHarmonics
SIGGRAPH ASIA 2011 Course : Elements of Geometry Processing: http://alice.loria.fr/WIKI/index.php/Graphite/TheElements
Gentle Course Slides on Laplacian:
- Overview: https://perso.liris.cnrs.fr/julie.digne/cours/slides-weeks7-8.pdf
- Mesh Laplacian & Manifold Harmonics: https://perso.liris.cnrs.fr/julie.digne/cours/slides_lecture1.pdf
- Sparse Coding & Dictionary Learning: https://perso.liris.cnrs.fr/julie.digne/cours/slides_lecture3.pdf
- Dictionary Learning: https://perso.liris.cnrs.fr/julie.digne/cours/slides_lecture4.pdf
Dictionary Learning Using Optimal Transport
- WASSERSTEIN DICTIONARY LEARNING: https://arxiv.org/pdf/1708.01955.pdf
- Wasserstein Dictionary Learning: Optimal Transport-based unsupervised non-linear dictionary learning
- https://hal.archives-ouvertes.fr/hal-01717943/document
- http://dlm.cosmostat.org/wp-content/uploads/2017/09/heitz.pdf
- Fast Dictionary Learning with a Smoothed Wasserstein Loss: http://marcocuturi.net/Papers/rolet16fast.pdf
- Alternative: Wasserstein principal geodesics.
- Wasserstein Dictionary Learning and Non-negative Matrix Factorization: http://arolet.github.io/wasserstein-dictionary-learning/
- Convolutional Wasserstein Distances: Efficient Optimal Transportation on Geometric Domains,
- https://github.com/gpeyre/2015-SIGGRAPH-convolutional-ot
- https://www.youtube.com/watch?v=UXOFgE7LCKQ
Optimal Transport for ComputerGraphics and Temporal Coherenceof Image Processing Algorithms Thesis: https://perso.liris.cnrs.fr/nicolas.bonneel/hdr_nbonneel_compressed.pdf
Software#
AliceVision: https://github.com/alicevision/AliceVision LibIGL: http://libigl.github.io/ CGAL: https://www.cgal.org/ GEOGRAM: https://github.com/alicevision/geogram Graphite:
- http://alice.loria.fr/index.php/software/3-platform/22-graphite.html
- http://alice.loria.fr/WIKI/index.php/Graphite/Graphite
Resources#
Bruno Levy https://members.loria.fr/BLevy/ Keenan Crane
Misc#
Mean Curvature Skeleton#
https://github.com/ataiya/starlab-mcfskel
L1 Medial Skeleton#
https://github.com/HongqiangWei/L1-Skeleton
Optimal Transport#
Optimal Transport is a mathematical theory that studies how to transform a shape into another one while minimizing a certain cost.
- Graphite video: https://www.youtube.com/watch?v=X7m7iSWuVK4
Geom Loss Library#
Geometric Loss functions between sampled measures, images and volumes
- https://www.kernel-operations.io/geomloss/
- https://www.math.ens.fr/~feydy/Teaching/DataScience/gradient_flows.html