I will give a talk at the Geometry Seminar of the Mathematics Program, Department of Mathematics, Electronics and Informatics, Graduate School of Science and Engineering / Department of Mathematics, Faculty of Science, Saitama University.
– Title：Elementary mathematical models for CG character expression
– Abstract：
Characters represented in Computer Graphics (CG) are used in various fields ranging from entertainment to engineering. In this talk, I will discuss simple mathematical models related to CG characters.
The first topic is “Efficient simplification of 3D model geometry while preserving important features.” While there are several techniques to construct surface models from point clouds, I will explore methods to simplify massive point cloud data while preserving visually important parts. I will introduce algorithms using basic concepts of differential geometry and entropy calculations.
The second topic is “Intuitive character expression control.” I will present techniques that replace complicated operations involving numerous parameters with direct, intuitive manipulation of character face models, along with their applications. Character animation essentially reduces to interpolation problems, using mathematical models that combine reproducing kernel Hilbert spaces and optimization theory.
Through this lecture, I hope you will appreciate how mathematical concepts, though elementary, contribute to creating appealing character expressions in movies, games, and animations. I look forward to discussing future developments with you all.
– Date: Thursday, April 24, 2025, 16:30 – 18:00
– Venue: Mathematics Laboratory 1 (5th floor, Graduate School of Science and Engineering Building, Saitama University)