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KSS Projects for Communication

Low Dimensional Topology and Computer Graphics

This project has achieved an implementation as the goal hence we made a decision to finalize the project as of February 2015. The organizers of KSS and the chair of project would like to thank the people involved in this project for their cooperations.

"Low Dimensional Topology and Computer Graphics" is one of the projects of "KSS Projects for Communication", which is started since 2014.


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

Purpose and Contents

This project is conducted by a topologist M.Hirasawa, with mathematicians and researchers of computer graphics. Discussion over math and CG are promoted in and outside of KSS. Several algorithms and core implementations useful in topology are offered by Y.Kiriu of Studio Phones. We try to analyse, reconstruct and develop them. The implementation is actively used in the series of "Kobe Studio Seminar for studies with Renderman", using the software Renderman by Pixer. The research conductor utilizes the algorithms and implementations offered and developed in this project in his research and education programs. He and active participants discuss further development and introduce the obtained results in and outside of KSS.


During the Studio Phones Fellowship Program, discussion have been made with other participants to theoretically and practically develop some of the implementation offered by Y.Kiriu. Within the limited time of the project, it was difficult to modify the implementations since they were designed to be combined with several other algorithms. For this project, Kiriu is offering the implementations in a detached form so that it is easier to modify. We start by modifying them or redeveloping them theoretically and practically and discuss the possibilities of further development in the view points of math and CG.


The participating mathematicians and CG researchers use the results on their own responsibilities in their research and education programs, and try to integrate the implementations, which would be further developed through discussions. The implementations which require deeper knowledge of mathematics in handling are not open for public, but when they are made readily accessible, we would think of including them in papers or academic records open to public.