Keenan Crane | Geometry Processing with Intrinsic Triangulations I
5/7/2021 FRG Workshop on Geometric Methods for Analyzing Discrete Shapes
Speaker: Keenan Crane
Title: Geometry Processing with Intrinsic Triangulations I
Abstract: The intrinsic viewpoint was a hallmark of 19th century geometry, enabling one to reason about shapes without needing to consider an embedding in space---and leading to major developments in the 20th century such as Einstein's theory of general relativity. Yet 21st century digital geometry processing still largely adopts an extrinsic mindset, where the geometry of a polyhedral surface is expressed via vertex positions in n-dimensional space. This talk explores how the intrinsic view of polyhedral surfaces helps relax some standard assumptions in geometric computing, leading to algorithms that are more flexible and numerically more robust. In particular we will examine fundamental data structures for intrinsic triangulations, extensions of important triangulation algorithms to curved surfaces, as well as methods for finite element problems, finding geodesics, and computing discrete conformal maps.
Видео Keenan Crane | Geometry Processing with Intrinsic Triangulations I канала Harvard CMSA
Speaker: Keenan Crane
Title: Geometry Processing with Intrinsic Triangulations I
Abstract: The intrinsic viewpoint was a hallmark of 19th century geometry, enabling one to reason about shapes without needing to consider an embedding in space---and leading to major developments in the 20th century such as Einstein's theory of general relativity. Yet 21st century digital geometry processing still largely adopts an extrinsic mindset, where the geometry of a polyhedral surface is expressed via vertex positions in n-dimensional space. This talk explores how the intrinsic view of polyhedral surfaces helps relax some standard assumptions in geometric computing, leading to algorithms that are more flexible and numerically more robust. In particular we will examine fundamental data structures for intrinsic triangulations, extensions of important triangulation algorithms to curved surfaces, as well as methods for finite element problems, finding geodesics, and computing discrete conformal maps.
Видео Keenan Crane | Geometry Processing with Intrinsic Triangulations I канала Harvard CMSA
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
![Gromov-Witten/Donaldson Thomas theory and Birational/Symplectic invariants for algebraic surfaces](https://i.ytimg.com/vi/j8K8OGK1WXw/default.jpg)
![Subir Sachdev | Quantum statistical mechanics of charged black holes and strange metals](https://i.ytimg.com/vi/-Kjl8WehIPw/default.jpg)
![Ronald L. Rivest | Election Security](https://i.ytimg.com/vi/WEpgH5Anjdg/default.jpg)
![Abeer ElBahrawy | Coordinating in the Dark: the lives and deaths of Bitcoin Marketplaces](https://i.ytimg.com/vi/Rg993l5yBSc/default.jpg)
![Nancy Aggarwal | Gravitational waves at frequencies above 10 kHz](https://i.ytimg.com/vi/ebRl3FDq-WY/default.jpg)
![Jonathan Luk | A tale of two tails](https://i.ytimg.com/vi/cTVbXuORP2E/default.jpg)
![David Dunsky | Gravitational Wave Gastronomy](https://i.ytimg.com/vi/VO3tDJC3gSY/default.jpg)
![Tian Yang | Hyperbolic Geometry and Quantum Invariants](https://i.ytimg.com/vi/IgrSTZGLFm0/default.jpg)
![Aghil Alaee | Positivity of static quasi-local mass in general relativity](https://i.ytimg.com/vi/b4vyZvml0aw/default.jpg)
![Rob Leigh | Edge Modes and Gravity](https://i.ytimg.com/vi/qqmRbQT3m7o/default.jpg)
![Mike Jordan, "Computational thinking, inferential thinking and Big Data"](https://i.ytimg.com/vi/ZYP8GWXh7lo/default.jpg)
![Just a few seeds more: Value of network data for diffusion](https://i.ytimg.com/vi/7u6jO0_6fyI/default.jpg)
![Philippe G. LeFloch | The localized seed-to-solution method for the Einstein constraints](https://i.ytimg.com/vi/eGU1AQBcxNw/default.jpg)
![Isaac Kohane | What’s in a label? The case for and against monolithic group/ethnic/race labeling ...](https://i.ytimg.com/vi/b2ibX026mfI/default.jpg)
![Michael Douglas | Numerical Higher Dimensional Geometry](https://i.ytimg.com/vi/ZWFI3fArT1c/default.jpg)
![CMSA Interdisciplinary Seminar 09/29/2021](https://i.ytimg.com/vi/rPjZkfKnT4c/default.jpg)
![Big Data 2017 | Marena Lin](https://i.ytimg.com/vi/aYA1L8ZK-Do/default.jpg)
![Elena Giorgi | The stability of charged black holes](https://i.ytimg.com/vi/Al_1ibkh8ic/default.jpg)
![Pragya Sur | A New Central Limit Theorem for the Augmented IPW estimator in high dimensions](https://i.ytimg.com/vi/Oq2lheNi3Cg/default.jpg)
![Maciej Zworski | Quasinormal modes and Ruelle resonances: mathematician’s perspective](https://i.ytimg.com/vi/FyJ6TieNQBc/default.jpg)
![Andrea Montanari | Self-induced regularization from linear regression to neural networks](https://i.ytimg.com/vi/bjRqmlI_SFs/default.jpg)