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KSS Projects for Communication

Invariant Theory, and techniques of visual effects

This project had been closed by the decision (dated October 8, 2014) of the organizers of Kobe Studio Seminar since the organizers reached a conclusion on the basis of the past workshops' discussions and the communications with the chair, that it is very difficult to achieve the project goal even if we continue the project with the member.

"Invariant Theory, and techniques of visual effects" is one of the projects of "KSS Projects for Communication", which is started since 2014.

Members

Please contact the corresponding organizer of KSS, Kosaku Nagasaka if you have a question on any project of KSS Projects for Communication.

Purpose and Contents

The main purpose of this project is to study various techniques of visual effects in the context of Invariant Theory.

We will provide several kinds of discussion in the series of Kobe Studio Seminar for Studies with Renderman, to discuss the relationships between Invariant Theory and Computer Graphics, with mathematicians, computer scientists, CG researchers, and CG practitioners taking part in the research of mathematics or of computer graphics.

Ryuji Tanimoto (Shizuoka University) asked Yusuke Kiriu (Studio Phones) for his support as the initial implementation of this project, and Kiriu contributed a shader for Tanimoto's academic research, derived from his shaders created by Studio Phones for his film making. The shader is informative for our discussions of the relationships between Invariant Theory and visual effects. We started this project.

Prehistory

Ryuji Tanimoto was interested in artistic techniques of visual effects of computer graphics created by Kiriu. Tanimoto started to study the relationships between Invariant Theory and Computer Graphics.

In the Kobe Studio Seminar for Studies with Renderman on 9 November 2013, we had discussions on exploring the relationships between Invariant Theory and Computer Graphics, and Kiriu suggested his ideas to study the relationships between Invariant Theory and Computer Graphics, especially match moving and image compositing. After the seminar, Kiriu informed Tanimoto that there are shaders created by Studio Phones for film making. Tanimoto expected to find mathematical structures.

In the Kobe Studio Seminar for Studies with Renderman on 26 April 2014, Kiriu provided some basic ideas for rethinking various shading models, we discussed the formulation of these ideas to study the relationships between Invariant Theory and Computer Graphics. We launched this project.

Contribution and Contact

Tanimoto will try to find mathematical structures in the relationships between Invariant Theory and various techniques of visual effects. In the future, if we get general techniques of visual effects in the context of Invariant Theory, we wish to contribute our results to academic journals or technical reports.

During the period of this project, we respond as far as possible to any question concerning participation in this project and concerning research results, intended for mathematicians, computer scientists, CG researchers, CG practitioners taking part in the research of mathematics or of computer graphics. Please contact the corresponding organizer of KSS if you have any question in this project.