Characteristic spaces of images

2016 Fiscal Year Final Research Report

• Project/Area Number: 26610026
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Basic analysis
• Research Institution: Kyushu University
• Principal Investigator: Ochiai Hiroyuki 九州大学, マス・フォア・インダストリ研究所, 教授 (90214163)
• Project Period (FY): 2014-04-01 – 2017-03-31
• Keywords: 映像数学 / リー群 / アニメーション / 運動群 / 変形 / 極分解 / リー理論 / 離散微分幾何学

Outline of Final Research Achievements

We study movie from the mathematical point of view. We introduce a structure on the set of a class of movies
and find a common property and a characteristic. We regard a motion and a deformation as a transformation.
with the help of Lie theory in math, and of a technique in computer graphics. We made a book and a video, as well as a paper, for public.

Free Research Field

数学