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Theory and Applications of Kinetic Computational Geometry with Uncertanity

Research Project

Project/Area Number 15H02665
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Theory of informatics
Research InstitutionKwansei Gakuin University (2019)
Tohoku University (2015-2018)

Principal Investigator

Tokuyama Takeshi  関西学院大学, 理工学部, 教授 (40312631)

Co-Investigator(Kenkyū-buntansha) 小池 敦  一関工業高等専門学校, その他部局等, 准教授 (20639166)
全 眞嬉  東北大学, 情報科学研究科, 准教授 (80431550)
Korman Matias  東北大学, 情報科学研究科, 助教 (80732718)
Project Period (FY) 2015-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥15,730,000 (Direct Cost: ¥12,100,000、Indirect Cost: ¥3,630,000)
Fiscal Year 2019: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2018: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2017: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2016: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2015: ¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Keywordsアルゴリズム理論 / 計算幾何学 / データ構造 / 理論計算機科学 / アルゴリズム / 動的計算幾何学 / 動力学的データ構造 / 時系列データ処理 / 時系列データ解析
Outline of Final Research Achievements

In this project, we developed a theory of kinetic and efficient data structure to handle nondeterministic update of continuous data movement. We considered realistic model of kinetic data structure to store the discrete features of geometric trajectories. We considered several solutions of important problems of geometric data processing including geographic data management and ad-hoc network construction. As consequence, we enabled efficient and flexible handling of time-space data analysis. We have done several international joint research with Korea Hong-Kong, US, Holland and Germany, and published 21 research papers in international journals and international refereed conferences, as well as a lot of presentations on those results.

Academic Significance and Societal Importance of the Research Achievements

幾何的な軌跡から作られる離散的構造の変化をデータ構造化する動力学的データ構造に関して、実用的なモデルでの理論構築を行い、地理情報管理やアドホックネットワークの構築など様々な幾何学データ処理の重要問題の解決を行い、より柔軟かつ効率的な時系列データ解析を行うことを可能にした。これらの成果は、計算幾何学やグラフアルゴリズムに関する学術の世界最先端を行くものであり、国際的に高く評価されている。更にアドホックネットワークは、災害対応ネットワークなど、次世代の情報通信の重要な要素と考えられており、特に震災などの災害の多発する我が国において、その研究開発は大きな社会的意義を持つ。

Report

(6 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • 2016 Annual Research Report
  • 2015 Annual Research Report
  • Research Products

    (68 results)

All 2019 2018 2017 2016 2015 Other

All Int'l Joint Research (24 results) Journal Article (21 results) (of which Int'l Joint Research: 13 results,  Peer Reviewed: 18 results,  Open Access: 9 results,  Acknowledgement Compliant: 7 results) Presentation (21 results) (of which Int'l Joint Research: 11 results,  Invited: 4 results) Funded Workshop (2 results)

  • [Int'l Joint Research] Tufts 大学(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] ベルリン自由大学(ドイツ)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] グラーツ工科大学/ウイーン工科大学(オーストリア)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ベルリン自由大学(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] 浦項工科大学/キョンギ大学(韓国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ユトレヒト工科大学/アイントホーヘン工科大学(オランダ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] タマサート大学(タイ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] アイントホーヘン工科大学/ユトレヒト大学(オランダ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ベルリン自由大学/MPII(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] グラーツ工科大学/ウイーン工科大学(オーストリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] 浦項工科大学/KAIST(韓国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research]

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] アイントホーフェン工科大学/ユトレヒト大学(オランダ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] 浦項工科大学/KAIST/キョンギ大学(韓国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] Bem Gurion大学(イスラエル)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] ヴェルツブルグ大学/ベルリン自由大学/ザールランド大学(ドイツ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] カールトン大学/ブリティッシュコロンビア大学/オタワ大学(カナダ)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research]

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] 浦項工科大学/KAIST(韓国)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Eindhoven工科大学/Utrecht大学(オランダ)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] Ben Gurion大学(イスラエル)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] カールトン大学/ブリティッシュコロンビア大学(カナダ)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research] タマサート大学(タイ)

    • Related Report
      2015 Annual Research Report
  • [Int'l Joint Research]

    • Related Report
      2015 Annual Research Report
  • [Journal Article] Consistent Digital Curved Rays and Pseudoline Arrangements2019

    • Author(s)
      Jinhee Chun, Kenya Kikuchi, Takeshi Tokuyama
    • Journal Title

      27th Annual European Symposium on Algorithms

      Volume: 27

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Capsule Net for Micro-Expression Recognition2019

    • Author(s)
      Nguyen Van Quang, Jinhee Chun, Takeshi Tokuyama
    • Journal Title

      The 14th IEEE International Conference on Automatic Face and Gesture Recognition(FG 2019)

      Volume: 2019 Pages: 1-7

    • DOI

      10.1109/fg.2019.8756544

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Model-Agnostic Explanations for Decisions Using Minimal Patterns2019

    • Author(s)
      Kohei Asano, Jinhee Chun, Atsushi Koike, Takeshi Tokuyama
    • Journal Title

      The 28th International Conference on Artificial Neural Networks

      Volume: LNCS11727 Pages: 241-252

    • DOI

      10.1007/978-3-030-30487-4_19

    • ISBN
      9783030304867, 9783030304874
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] The dual diameter of triangulations2018

    • Author(s)
      Korman Matias、Langerman Stefan、Mulzer Wolfgang、Pilz Alexander、Saumell Maria、Vogtenhuber Birgit
    • Journal Title

      Computational Geometry: Theory and Applications

      Volume: 68 Pages: 243-252

    • DOI

      10.1016/j.comgeo.2017.06.008

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Colored spanning graphs for set visualization2018

    • Author(s)
      Hurtado Ferran、Korman Matias、van Kreveld Marc、Loffler Maarten、Sacristan Vera、Shioura Akiyoshi、Silveira Rodrigo I.、Speckmann Bettina、Tokuyama Takeshi
    • Journal Title

      Computational Geometry: Theory and Applications

      Volume: 68 Pages: 262-276

    • DOI

      10.1016/j.comgeo.2017.06.006

    • Related Report
      2018 Annual Research Report 2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the complexity of barrier resilience for fat regions and bounded ply2018

    • Author(s)
      Korman Matias、Loffler Maarten、Silveira Rodrigo I.、Strash Darren
    • Journal Title

      Computational Geometry

      Volume: 72 Pages: 34-51

    • DOI

      10.1016/j.comgeo.2018.02.006

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Time?space trade-offs for triangulations and Voronoi diagrams2018

    • Author(s)
      Korman Matias、Mulzer Wolfgang、van Renssen Andr?、Roeloffzen Marcel、Seiferth Paul、Stein Yannik
    • Journal Title

      Computational Geometry

      Volume: 73 Pages: 35-45

    • DOI

      10.1016/j.comgeo.2017.01.001

    • Related Report
      2018 Annual Research Report
  • [Journal Article] High Dimensional Consistent Digital Segments2018

    • Author(s)
      Chiu Man-Kwun、Korman Matias
    • Journal Title

      SIAM Journal on Discrete Mathematics

      Volume: 32 Issue: 4 Pages: 2566-2590

    • DOI

      10.1137/17m1136572

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Efficiently Correcting Matrix Products2017

    • Author(s)
      Gasieniec Leszek、Levcopoulos Christos、Lingas Andrzej、Pagh Rasmus、Tokuyama Takeshi
    • Journal Title

      Algorithmica

      Volume: 79 Issue: 2 Pages: 428-443

    • DOI

      10.1007/s00453-016-0202-3

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Gap-Planar Graphs2017

    • Author(s)
      Sang Won Bae, Jean-Francois Baffier, Jinhee Chun, Peter Eades, Kord Eickmeyer, Luca Grilli, Seok-Hee Hong, Matias Korman, Fabrizio Montecchiani, Ignaz Rutter, Csaba D. Toth
    • Journal Title

      Proceedings of the 25th International Symposium on Graph Drawing and Network Visualization

      Volume: LNCS10692 Pages: 531-545

    • DOI

      10.1007/978-3-319-73915-1_41

    • ISBN
      9783319739144, 9783319739151
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Faster Algorithms for Growing Prioritized Disks and Rectangles2017

    • Author(s)
      Hee-Kap Ahn, Sang Won Bae, Jong Min Choi, Matias Korman, Wolfgang Mulzer, Eunjin Oh, Ji-won Park, Andre van Renssen, Antoine Vigneron
    • Journal Title

      Proc, ISAAC 2017, LIPIcs

      Volume: 92

    • DOI

      10.4230/LIPIcs.ISAAC.2017.3

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] High Dimensional Consistent Digital Segments2017

    • Author(s)
      Man-Kwun Chiu, Matias Korman
    • Journal Title

      Proc. 33rd Symposium on Computational Geometry, LIPIcs

      Volume: 77

    • DOI

      10.4230/LIPIcs.SoCG.2017.31

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Routing on the Visibility Graph.2017

    • Author(s)
      Bahareh Banyassady, Man-Kwun Chiu, Matias Korman, Wolfgang Mulzer, Andre van Renssen, Marcel Roeloffzen, Paul Seiferth, Yannik Stein, Birgit Vogtenhuber, Max Willert
    • Journal Title

      Proc, ISAAC 2017, LIPIcs

      Volume: 92

    • DOI

      10.4230/LIPIcs.ISAAC.2017.10

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Routing on the Visibility Graph2017

    • Author(s)
      Prosenjit Bose, Matias Korman, Andre van Renssen, Sander Verdonschot
    • Journal Title

      Proc, ISAAC 2017, LIPIcs

      Volume: 92

    • DOI

      10.4230/LIPIcs.ISAAC.2017.18

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On Interference Among Moving Sensors and Related Problems.2016

    • Author(s)
      J. De Carufel, M.J. Katz, M. Korman, A. van Renssen, M. Roeloffzen, S. Smorodinsky:
    • Journal Title

      Proceedings of 24th European Symposium on Algorithms

      Volume: 24

    • DOI

      10.4230/LIPIcs.ESA.2016.34

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Packing Short Plane Spanning Trees in Complete Geometric Graphs2016

    • Author(s)
      O. Aichholzer, T. Hackl, M. Korman ,A. Pilz, G. Rote ,A. van Renssen,M. Roeloffzen,B. Vogtenhuber
    • Journal Title

      Proceedings of 27th International Symposium on Algorithms and Computation

      Volume: 27

    • DOI

      10.4230/LIPIcs.ISAAC.2016.9

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Time-Space Trade-offs for Triangulating a Simple Polygon2016

    • Author(s)
      B.Aronov, M. Korman, S.Pratt, A. van Renssen, M. Roeloffzen
    • Journal Title

      15th Scandinavian Symposium and Workshops on Algorithm Theory

      Volume: 15

    • DOI

      10.4230/LIPIcs.SWAT.2016.30

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A linear-time algorithm for the geodesic center of a simple polygon2016

    • Author(s)
      H.-K. Ahn, L. Barba, P. Bose, J.-L. De Carufel, M. Korman, and E. Oh
    • Journal Title

      Discrete & Computational Geometry

      Volume: 56(4) Issue: 4 Pages: 836-859

    • DOI

      10.1007/s00454-016-9796-0

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Distance Interior Ratio: a new shape signature for 2D shape retrieval2016

    • Author(s)
      Natsuda Kaothanthong, Jinhee Chun, Takeshi Tokuyama
    • Journal Title

      Pattern Recognition Letters

      Volume: 印刷中 Pages: 14-21

    • DOI

      10.1016/j.patrec.2016.03.029

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Buyback Problem with Discrete Concave Valuation Functions2016

    • Author(s)
      S. Fukuda, A. Shioura, and T. Tokuyama
    • Journal Title

      Proceedings of the 13th International Workshop on Approximation and Online Algorithms (WAOA 2015)

      Volume: LNCS 9499 Pages: 72-83

    • DOI

      10.1007/978-3-319-28684-6_7

    • ISBN
      9783319286839, 9783319286846
    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Colored Spanning Graphs for Set Visualization2016

    • Author(s)
      Ferran Hurtado, Matias Korman, Marc J. van Kreveld, Maarten Loffler, Vera Sacriston, Akiyoshi Shioura, Rodrigo I. Silveira, Bettina Speckmann, Takeshi Tokuyama
    • Journal Title

      Computational Geometry Theory and Applications

      Volume: -

    • Related Report
      2015 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Presentation] Consistent Digital Curved Rays2019

    • Author(s)
      Jinhee Chun, Kenya Kikuchi, Takeshi Tokuyama
    • Organizer
      AAAC 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Near Unit Distance Embedding of Points into the Plane and Space2019

    • Author(s)
      Tetsuo Asano, Naoki Katoh, Takeshi Tokuyama
    • Organizer
      WAAC 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 局所領域におけるモデルの模倣による機械学習の説明法2019

    • Author(s)
      浅野孝平、全眞嬉
    • Organizer
      第22回情報論的学習理論ワークショップ (IBIS 2019)
    • Related Report
      2019 Annual Research Report
  • [Presentation] 並列計算による機械学習の説明手法の高速化の検討2019

    • Author(s)
      浅野孝平、全眞嬉
    • Organizer
      第18回情報科学技術フォーラム(FIT2019)
    • Related Report
      2019 Annual Research Report
  • [Presentation] 特徴パターンを用いた機械学習の説明手法2019

    • Author(s)
      浅野孝平、全眞嬉、徳山豪
    • Organizer
      第33回人工知能学会全国大会
    • Related Report
      2019 Annual Research Report
  • [Presentation] GPU向け非可換リダクションと差分配列演算への応用2019

    • Author(s)
      小池 敦,定兼 邦彦
    • Organizer
      コンピュテーション研究会
    • Related Report
      2018 Annual Research Report
  • [Presentation] GPUを用いた非可換リダクションの高速計算とその応用2019

    • Author(s)
      小池 敦
    • Organizer
      数理工学ワークショップ
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Consistent Digital Curved Rays2019

    • Author(s)
      Jinhee Chun, Kenya Kikuchi, Takeshi Tokuyama
    • Organizer
      EuroCG2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 整合的なデジタル曲線族の構築法2019

    • Author(s)
      菊地賢也, 全眞嬉, 徳山豪
    • Organizer
      情報処理学会第81回全国大会
    • Related Report
      2018 Annual Research Report
  • [Presentation] 有向道路ネットワーク向け最短路クエリのための効率的枝刈り探索手法2018

    • Author(s)
      小池 敦
    • Organizer
      情報処理学会アルゴリズム研究会
    • Related Report
      2018 Annual Research Report
  • [Presentation] A New Strategy for Solving N-Person Perfect Information Stochastic Games via Pareto Optimal Strategy Enumeration.2017

    • Author(s)
      Takanari Seito, Matias Korman, Atsushi Koike, Takeshi Tokuyama
    • Organizer
      AAAC 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Improving Thai Optical Character Recognition Using Circular-Scan Histogram2017

    • Author(s)
      Natsuda Kaothanthong, Thanaruk Theeramunkong, Jinhee Chun
    • Organizer
      ICDAR 2017
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] 計算複雑性と数学の接点について2017

    • Author(s)
      徳山 豪
    • Organizer
      表現論シンポジウム
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Packing Short Plane Spanning Trees in Complete Geometric Graphs2016

    • Author(s)
      Matias Korman
    • Organizer
      27th International Symposium on Algorithms and Computation
    • Place of Presentation
      シドニー、オーストラリア
    • Year and Date
      2016-12-12
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Theoretical Computer Science for Data Science2016

    • Author(s)
      徳山 豪
    • Organizer
      FIT 2016
    • Place of Presentation
      富山大学
    • Year and Date
      2016-09-07
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] On Interference Among Moving Sensors and Related Problems.2016

    • Author(s)
      Matias Korman
    • Organizer
      24th European Symposium on Algorithms
    • Place of Presentation
      オーフス、デンマーク
    • Year and Date
      2016-08-22
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Theoretical Computer Science for Big Data Analysis: Recent Activities in Japan.2015

    • Author(s)
      Takeshi Tokuyama
    • Organizer
      The Tenth International Conference on Knowledge, Information and Creativity Support Systems
    • Place of Presentation
      タイ プーケット
    • Year and Date
      2015-11-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Efficient Top-k Dominating Query on Uncertain Database2015

    • Author(s)
      余翔, 全眞嬉, 徳山豪
    • Organizer
      第14回FIT情報科学技術フォーラム2015
    • Place of Presentation
      松山
    • Year and Date
      2015-09-15
    • Related Report
      2015 Annual Research Report
  • [Presentation] A Reliable Top-k Dominating Query on Uncertain Big Database2015

    • Author(s)
      Xiang Yu, Jinhee Chun, Takeshi Tokuyama
    • Organizer
      Workshop on Algorithms and Computation
    • Place of Presentation
      韓国 仁川
    • Year and Date
      2015-08-23
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Unit-Cost Buyback Problem with Matching-Weight Valuation Function2015

    • Author(s)
      S. Fukuda, A. Shioura, T. Tokuyama
    • Organizer
      Workshop on Algorithms and Computation
    • Place of Presentation
      韓国 仁川
    • Year and Date
      2015-08-22
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Buyback Problem with Discrete Cocave Valuation Functions2015

    • Author(s)
      S. Fukuda, A. Shioura, T. Tokuyama
    • Organizer
      Workshop on Approximation and Online Algorithms
    • Place of Presentation
      ギリシャ パトラス
    • Year and Date
      2015-07-17
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Funded Workshop] Korean Workshop on Computational Geometry2017

    • Place of Presentation
      山形県蔵王町
    • Year and Date
      2017-02-16
    • Related Report
      2016 Annual Research Report
  • [Funded Workshop] 日韓計算幾何学ワークショップ2016

    • Place of Presentation
      山形県蔵王町
    • Year and Date
      2016-01-25
    • Related Report
      2015 Annual Research Report

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Published: 2015-04-16   Modified: 2022-11-04  

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