{"title":"$\\texttt{gsplat}$图书馆的数学补充","authors":"Vickie Ye, Angjoo Kanazawa","doi":"arxiv-2312.02121","DOIUrl":null,"url":null,"abstract":"This report provides the mathematical details of the gsplat library, a\nmodular toolbox for efficient differentiable Gaussian splatting, as proposed by\nKerbl et al. It provides a self-contained reference for the computations\ninvolved in the forward and backward passes of differentiable Gaussian\nsplatting. To facilitate practical usage and development, we provide a user\nfriendly Python API that exposes each component of the forward and backward\npasses in rasterization at github.com/nerfstudio-project/gsplat .","PeriodicalId":501061,"journal":{"name":"arXiv - CS - Numerical Analysis","volume":" 21","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Mathematical Supplement for the $\\\\texttt{gsplat}$ Library\",\"authors\":\"Vickie Ye, Angjoo Kanazawa\",\"doi\":\"arxiv-2312.02121\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This report provides the mathematical details of the gsplat library, a\\nmodular toolbox for efficient differentiable Gaussian splatting, as proposed by\\nKerbl et al. It provides a self-contained reference for the computations\\ninvolved in the forward and backward passes of differentiable Gaussian\\nsplatting. To facilitate practical usage and development, we provide a user\\nfriendly Python API that exposes each component of the forward and backward\\npasses in rasterization at github.com/nerfstudio-project/gsplat .\",\"PeriodicalId\":501061,\"journal\":{\"name\":\"arXiv - CS - Numerical Analysis\",\"volume\":\" 21\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - CS - Numerical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2312.02121\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Numerical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2312.02121","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical Supplement for the $\texttt{gsplat}$ Library
This report provides the mathematical details of the gsplat library, a
modular toolbox for efficient differentiable Gaussian splatting, as proposed by
Kerbl et al. It provides a self-contained reference for the computations
involved in the forward and backward passes of differentiable Gaussian
splatting. To facilitate practical usage and development, we provide a user
friendly Python API that exposes each component of the forward and backward
passes in rasterization at github.com/nerfstudio-project/gsplat .