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--- spi6 [2017/06/20 06:54] – [Geometric Foundations (Yan Gerard)] jm
+++ spi6 [2019/04/10 10:18] – [Geometric Foundations (Yan Gerard)] yan
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+====== Computational Geometry: Theory and Applications ======
+===== Geometric Foundations (Yan Gerard) =====
+The slides of the 4 lectures...
+[[https://yangerard.files.wordpress.com/2019/04/spi2019-lect1-1.pdf|lecture 1 - Convex Geometry]]
+[[https://yangerard.files.wordpress.com/2019/04/spi2019-lect5.pdf|lecture 2 - Geometric Modeling]]
+[[https://yangerard.files.wordpress.com/2019/04/spi2019-lect7.pdf|lecture 3 - Digital Geometry]]
+[[https://yangerard.files.wordpress.com/2019/04/spi2019-lect8.pdf| lecture 4 - Discrete Differential Geometry]]
+More material...
+About Convex Geometry
+[[https://www.fmf.uni-lj.si/~lavric/hug&weil.pdf|A course on Convex Geometry]]
+[[http://inis.jinr.ru/sl/vol1/UH/_Ready/Mathematics/Gruber,%20Wills%20(eds.).%20Vol.%20B.%20Handbook%20of%20convex%20geometry,%20selected%20chapters%20(NH,%201993)(L)(127s).pdf| Handbook of convex geometry]]
+About Geometric Modeling
+[[http://www.cin.ufpe.br/~mbs/livros/Curves%20and%20Surfaces%20for%20Computer%20Aided%20Geometric%20Design.pdf|The classical book of Farin - Curves and Surfaces for Computer Aided Geometric Design]]
+[[http://users.cms.caltech.edu/~cs175/cs175-00/materials/book.pdf|the book: Subdivision Methods for Geometric design]]
+[[http://math.hws.edu/eck/cs424/downloads/graphicsbook-linked.pdf|A book of Computer Graphics with a low-level introduction]]
+About Digital Geometry
+[[https://hal.archives-ouvertes.fr/hal-01314922/document| An introduction to Digital Geometry in french - petit manuel de survie en milieu digital (available on Hal) ]]
+[[https://dgtal.org/|The DGtal C++ library]]
+[[https://yangerard.wordpress.com/|You can find some research material around Digital Geometry on my own wordpress]]
+About Discrete Differential Geometry and Discrete Exterior Calculus
+[[https://www.cs.cmu.edu/~kmcrane/Projects/DDG/paper.pdf|An introduction to Discrete Differential Geometry by Keenan Crane]] and the webpage dedicated to this course [[https://www.cs.cmu.edu/~kmcrane/Projects/DDG/|here]].
+[[http://www.cs.jhu.edu/~misha/Fall09/18-dec.pdf|How to define the gradient, divergecne and laplacian]]
+[[http://ddg.cs.columbia.edu/|webpage providing resources of Discrete Differential Geometry and SIGGRAPH courses]]
+===== Computational Geometry (Guilherme da Fonseca) ======
+=== References ===
+  * [[http://www.cs.uu.nl/geobook/|Computational Geometry: Algorithms and Applications]]. Mark de Berg, Otfried Cheong, Marc van Kreveld, and Mark Overmars.
+  * [[http://www.cs.umd.edu/class/fall2016/cmsc754/Lects/cmsc754-fall16-lects.pdf |David Mount lecture notes]]
+=== Convex hulls ===
+  * Pages 11 to 25 of the lecture notes.
+  * Chapter 1 of the book (less complete).
+  * [[graham.py|Python code of Graham's algorithm]]
+=== Duality and Arrangements ===
+  * Chapter 8 of the book (and 2.2 for DCEL).
+  * Pages 39 to 44 and 80 to 90 of the notes (and 134 to 137 for DCEL).
+=== Randomized Algorithms and Linear Programming ===
+  * Chapter 4 of the book.
+  * Pages 45 to 53 and 148 to 152 of the notes.
+=== Data Structures ===
+  * [[https://en.wikipedia.org/wiki/Point_location|Point location]]: pages 144 to 148 of the notes.
+  * Orthogonal range searching: 163 to 169 of the notes and section 5.2 of the book
+===== Meshes and Blender (Jean-Marie Favreau) =====
+Lecture notes: [[http://jmfavreau.info/spi6/mesh-processing.pdf|Mesh processing]]
+Practical exercises:
+  * [[http://fc.isima.fr/~favreau/geometrie_algorithmique/modelisation-3D.html|3D modeling]] with blender
+  * [[http://fc.isima.fr/~favreau/geometrie_algorithmique/programmation-geometrique.html|python]] with blender
+See also [[http://jmfavreau.info/spi6/|ressources and links]], and [[http://fc.isima.fr/~favreau/geometrie_algorithmique/|algorithmic geometry module]] at ISIMA