{"external_id":{"arxiv":["1705.02422"]},"date_updated":"2025-07-14T12:42:13Z","citation":{"bibtex":"@article{Campen_Zorin_2017, title={On Discrete Conformal Seamless Similarity Maps}, journal={arXiv:1705.02422}, author={Campen, Marcel and Zorin, Denis}, year={2017} }","ieee":"M. Campen and D. Zorin, “On Discrete Conformal Seamless Similarity Maps,” <i>arXiv:1705.02422</i>. 2017.","chicago":"Campen, Marcel, and Denis Zorin. “On Discrete Conformal Seamless Similarity Maps.” <i>ArXiv:1705.02422</i>, 2017.","short":"M. Campen, D. Zorin, ArXiv:1705.02422 (2017).","ama":"Campen M, Zorin D. On Discrete Conformal Seamless Similarity Maps. <i>arXiv:170502422</i>. Published online 2017.","mla":"Campen, Marcel, and Denis Zorin. “On Discrete Conformal Seamless Similarity Maps.” <i>ArXiv:1705.02422</i>, 2017.","apa":"Campen, M., &#38; Zorin, D. (2017). On Discrete Conformal Seamless Similarity Maps. In <i>arXiv:1705.02422</i>."},"language":[{"iso":"eng"}],"title":"On Discrete Conformal Seamless Similarity Maps","year":"2017","status":"public","_id":"60406","type":"preprint","author":[{"last_name":"Campen","id":"114904","orcid":"0000-0003-2340-3462","full_name":"Campen, Marcel","first_name":"Marcel"},{"last_name":"Zorin","first_name":"Denis","full_name":"Zorin, Denis"}],"department":[{"_id":"969"}],"date_created":"2025-06-26T08:37:34Z","publication":"arXiv:1705.02422","extern":"1","user_id":"117512","abstract":[{"text":"An algorithm for the computation of global discrete conformal\r\nparametrizations with prescribed global holonomy signatures for triangle meshes\r\nwas recently described in [Campen and Zorin 2017]. In this paper we provide a\r\ndetailed analysis of convergence and correctness of this algorithm. We\r\ngeneralize and extend ideas of [Springborn et al. 2008] to show a connection of\r\nthe algorithm to Newton's algorithm applied to solving the system of\r\nconstraints on angles in the parametric domain, and demonstrate that this\r\nsystem can be obtained as a gradient of a convex energy.","lang":"eng"}]}