Conformal Geometry Processing
Symposium on Geometry Processing
2017 Graduate School Lecture by Keenan Crane
https://www.cs.cmu.edu/~kmcrane/
http://geometry.cs.ucl.ac.uk/SGP2017/?p=gradschool#abs_conformal_geometry
Digital geometry processing is the natural extension of traditional signal processing to three-dimensional geometric data. In recent years, methods based on so-called conformal (i.e., angle-preserving) transformations have proven to be a powerful paradigm for geometry processing since (i) numerical problems are typically linear, providing scalability and guarantees of correctness and (ii) conformal descriptions of geometry are often dramatically simpler or lower-dimensional than traditional encodings. Conformal geometry is also linked to constitutive laws appearing in computational mechanics and 3D fabrication. This lecture will touch on both the mathematical foundations of conformal geometry, as well as recent numerical techniques and applications in 3D geometry processing.
Видео Conformal Geometry Processing канала SmartGeometry
2017 Graduate School Lecture by Keenan Crane
https://www.cs.cmu.edu/~kmcrane/
http://geometry.cs.ucl.ac.uk/SGP2017/?p=gradschool#abs_conformal_geometry
Digital geometry processing is the natural extension of traditional signal processing to three-dimensional geometric data. In recent years, methods based on so-called conformal (i.e., angle-preserving) transformations have proven to be a powerful paradigm for geometry processing since (i) numerical problems are typically linear, providing scalability and guarantees of correctness and (ii) conformal descriptions of geometry are often dramatically simpler or lower-dimensional than traditional encodings. Conformal geometry is also linked to constitutive laws appearing in computational mechanics and 3D fabrication. This lecture will touch on both the mathematical foundations of conformal geometry, as well as recent numerical techniques and applications in 3D geometry processing.
Видео Conformal Geometry Processing канала SmartGeometry
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
Discrete Differential Geometry - Helping Machines (and People) Think Clearly about ShapeRoger Penrose: Infinite Cycles of the Universe Punctuated by Big Bang SingularitiesConformal Mapping | Möbius Transformation | Complex Analysis #22General Relativity Explained simply & visuallyPiTP 2015 - "Introduction to Topological and Conformal Field Theory (1 of 2)" - Robbert DijkgraafSGP 2020 Graduate School: PDE and Spectral Approaches to Geometry ProcessingLet's remove Quaternions from every 3D Engine: Intro to Rotors from Geometric Algebraconform!03 Geometry ProcessingWhat are Conformal Mappings? | Nathan DalaklisConformal geometry processingA Swift Introduction to Geometric AlgebraDr Leo Dorst' Keynote talk at CGI2020Boundary First Flattening — Tutorial VideoNon-Euclidean Geometry Explained - Hyperbolica Devlog #1Sacred Geometry Explained Part 1 of 2The key to transforming yourself -- Robert Greene at TEDxBrixtonDiscrete Differential Geometry and DevelopabilitySiggraph2019 Geometric AlgebraGeometry Processing with Intrinsic Triangulations (Day I)