Researchers

Education and Career

Education

• - 2000 , The University of Tokyo, Graduate School, Division of Mathematical Sciences,
• - 2000 , The University of Tokyo, 数理科学研究科,

Academic & Professional Experience

• Apr. 2014 - Today , Kindai University Faculty of Science and Engineering 教授
• Apr. 2010 - Mar. 2014 , Kochi University Research and Education Faculty, Natural Sciences Cluster Science Unit Associate Professor
• Apr. 2005 - Mar. 2010 , Kochi University 准教授
• Apr. 2004 - Mar. 2005 , Kochi University 助教授
• Oct. 2003 - Mar. 2004 , Kochi University Medical School 助教授
• Aug. 2000 - Sep. 2003 , Kochi Medical School 助教授

Research Activities

Research Areas

• Natural sciences, Geometry

Research Interests

finite group action, spatial graphs, knots, 3次元トポロジー, topology

Published Papers

1. Symmetries of hyperbolic spatial graphs and realization of graph symmetries
   Toru Ikeda
   Journal of Geometry  115  (1)  , article number 12-, 29, Jan. 2024  , Refereed
2. Realization of graph symmetries through spatial embeddings into the 3-sphere
   Toru Ikeda
   Topology and its Applications  282  , 107313-, Aug. 2020  , Refereed
3. Involutions of hyperbolic spatial graph exteriors whose fixed point sets are closed surfaces
   Toru Ikeda
   Journal of Knot Theory and its Ramifications  27  (1)  , 1850004-, 1, Jan. 2018  , Refereed

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Conference Activities & Talks

1. ３次元多様体上の向き反転周期的微分同相のsurgery descriptions , 池田 徹 , 日本数学会トポロジー分科会 , 19, Mar. 2019
2. 補空間が双曲多様体となる 空間グラフの構成について , 池田 徹 , ハンドル体結び目とその周辺IX , 9, Oct. 2016
3. Symmetries of spatial graphs in closed onrientable 3-manifolds , IKEDA Toru , AMS Sectional Meeting : Special Session on Spatial Graphs , 25, Oct. 2015

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MISC

1. 画像による車両認識アルゴリズム (ITS (高度道路交通システム)特集) , 大中 慎一; 池田 徹; 溝口 正典 , NEC技報 , 50 , 7 , 126 , 130 , Jul. 1997
2. Background Image Generation with Quick Adaptation to Uniform Image Fluctuations , IKEDA Toru; OHNAKA Shin'ichi; MIZOGUCHI Masanori , 電気学会研究会資料. RTA, 道路交通研究会 , 1997 , 6 , 9 , 16 , 15, May. 1997
3. APPLICATION OF HUMAN VISION CHARACTERISTICS TO COLOR IMAGE QUANTIZATION , 田島 譲二; 池田 徹 , 情報処理学会研究報告グラフィクスとCAD（CG） , 1989 , 33 , 1 , 9 , 12, May. 1989
   Summary:あらゆるカラー画像に対して最高の品質の限定色表示を得ることを目標とし、人の視覚特性を利用した2つの新手法を提案する。これらの手法では、人の色知覚を均一に評価するため、明度を重視した均等色空間を利用した。まず、固定限定色表示手法により、この色空間の品質への効果を確認する一方、ディザ法による改良を加えて画質を向上させた。また、適応型限定色表示手法について、上記の空間上で視覚特性を利用した改良を試みた。まず、人の視覚上で識別が不可能な分割を終結し、さらに、従来は考慮されなかった視覚の空間周波数特性を初めて利用した。以上の改良により、入力画像に対して安定に高品質な結果を得る限定色表示に成功した。For color image quantization, two new methods are suggested, which make high quality results from any color images by applying human vision characteristics. To uniformly estimate the human color perception, they both use uniform color scale space with modification on brightness scale. First, the space was evaluated by developping a color image quantization algorithm with fixed number of colors. The algorithm was improved by dithering. Next, the space was also applied to the color quantization algorithm with colors adaptively selected for each image. Several human vision characteristics were used for the algorithm. Color space division meaningless to human eyes were omitted, and the spatial characteristics of human vision which had never been considered were used. Consequently, we succeeded to make high quality results to any input images.

Research Grants & Projects

1. Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Topology of spatial embeddings realizing symmetries of graphs , Kindai University
2. Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Symmetries of spatial graphs by 3-manifold topology , Kindai University
3. Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Study of Hopf spaces and p-compact groups , Kochi University

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