Sémi­naire

Nous avons l’im­mense plai­sir d’ac­cueillir Pierre Alliez de l’In­ria Sophia Anti­po­lis le mardi 19 avril. Celui-ci nous présen­tera :

We present a novel approach to crea­ting a homeo­mor­phic map between two surfaces. While most previous approaches compose maps over inter­me­diate domains, we directly opti­mize a map between two surfaces by compu­ting a variance-mini­mi­zing mass trans­port plan. We solve this non-linear problem, which is akin to mini­mi­zing the Diri­chlet energy of both the map and its inverse, using two alter­na­ting convex opti­mi­za­tion problems for which effi­cient nume­ri­cal algo­rithms exist. A coarse-to-fine approach based on fast evalua­tion of geode­sic distances through diffu­sion distances is then employed to provide a robust and effi­cient inter-surface mapping algo­rithm that natu­rally finds corres­pon­dences between surfaces, with little to no user inter­ac­tion.

Pierre Alliez, Inria Sophia Anti­po­lis