Anisotropic energy descent and Minkowski-type formula for discrete surfaces
In architectural surface design, it is important to establish design methods for surfaces with "anisotropy" for the "ideal lighting". In this talk, we show a shape generation method for "orientation-based area distribution" via anisotropic energy descent for triangulated surfaces. Moreover, we discuss so-called the Minkowski-type formula for discrete setting, which holds for stationary surfaces of the energy.
We are glad to announce the upcoming talk given by in the Oberseminar "Geometrie und Visualisierung" (Geometry and Visualization).
Title
Anisotropic energy descent and Minkowski-type formula for discrete surfaces
Date, Time, and Place
11.09.2025, 2:00 pm, Arnimallee 6 - room 108/109
Abstract
In architectural surface design, it is important to establish design methods for surfaces with "anisotropy" for the "ideal lighting". In this talk, we show a shape generation method for "orientation-based area distribution" via anisotropic energy descent for triangulated surfaces. Moreover, we discuss so-called the Minkowski-type formula for discrete setting, which holds for stationary surfaces of the energy.
This talk is based on the joint work with Kentaro Hayakawa (Nihon Univ.), Kazuki Hayashi (Kyoto Univ.), Miyuki Koiso (Kyushu Univ.) and Shun Kumagai (Hachinohe Institute of Technology).