PAOLUZZI ALBERTO
(syllabus)
Brief introduction to Julia, novel language for scientific computing. Introduction to geometric modeling and scientific visualization. Simplicial and cellular complexes. Chain complexes. Boundary and coboundary operators. Algebraic operators for incidence and adjacency. Duality of cell complexes. Extraction of geometric models from 3D images. Delaunay triangulations and Voronoi complexes. Alpha-shapes and alpha-complexes. Persistent homology. development of a collaborative progect: parallel LAR.
(reference books)
Lecture slides on Github:
Herbert Edelsbrunner and John Harer, Computational Topology. An Introduction, AMS, 2011.
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Università Roma Tre