%0 Journal Article %1 noauthororeditor2019geometry %D 2019 %E Olga Diamanti, Marcel Padilla %K 2019 course geometry germany %T Geometry Processing and Applications WS19 %U https://wordpress.discretization.de/geometryprocessingandapplicationsws19/2019/10/17/lecture-progress/ %X Geometry processing is an applied area of research aiming at modeling, analysis and editing of digital 2D and 3D shapes, typically represented as polygonal meshes. In terms of research, geometry processing lies at the intersection of applied mathematics, computer science and engineering. This course will cover some of the mathematical foundations underpinning this domain, and showcase some of its recent applications. Subject matters of the theoretical background will include elements from differential geometry of curves and surfaces, classical exterior calculus, discrete exterior calculus, sampling and reconstruction of differential forms, low dimensional algebraic and computational topology, Helmholtz-Hodge decomposition, structure preserving time integration, connections and their curvatures on complex line bundles. In terms of applications, various of the following will be studied: elastica and rods, surface parameterization, conformal surface deformations, computation of geodesics, tangent vector field design, connections, discrete thin shells, fluids, electromagnetism, and elasticity. Tutorials will be held based on the free version of Houdini (SideFX), which is the leading modeling and rendering software for motion pictures. Working knowledge of multivariate calculus and linear algebra as well as some programming experience will be useful. This is a course will be held in english.

@article{noauthororeditor2019geometry, abstract = { Geometry processing is an applied area of research aiming at modeling, analysis and editing of digital 2D and 3D shapes, typically represented as polygonal meshes. In terms of research, geometry processing lies at the intersection of applied mathematics, computer science and engineering. This course will cover some of the mathematical foundations underpinning this domain, and showcase some of its recent applications. Subject matters of the theoretical background will include elements from differential geometry of curves and surfaces, classical exterior calculus, discrete exterior calculus, sampling and reconstruction of differential forms, low dimensional algebraic and computational topology, Helmholtz-Hodge decomposition, structure preserving time integration, connections and their curvatures on complex line bundles. In terms of applications, various of the following will be studied: elastica and rods, surface parameterization, conformal surface deformations, computation of geodesics, tangent vector field design, connections, discrete thin shells, fluids, electromagnetism, and elasticity. Tutorials will be held based on the free version of Houdini (SideFX), which is the leading modeling and rendering software for motion pictures. Working knowledge of multivariate calculus and linear algebra as well as some programming experience will be useful. This is a course will be held in english. }, added-at = {2020-07-06T09:10:31.000+0200}, biburl = {https://www.bibsonomy.org/bibtex/2da384a7817f5c56c2d5fb2a0643dea79/analyst}, editor = {Olga Diamanti, Marcel Padilla}, interhash = {3d18d5dcd5233dac371245340d9ea31d}, intrahash = {da384a7817f5c56c2d5fb2a0643dea79}, keywords = {2019 course geometry germany}, timestamp = {2020-07-06T09:12:28.000+0200}, title = {Geometry Processing and Applications WS19}, url = {https://wordpress.discretization.de/geometryprocessingandapplicationsws19/2019/10/17/lecture-progress/}, year = 2019 }