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Studies on Realistic Solutions to Theoretically Hard Problems

Research Project

Project/Area Number 10205207
Research Category

Grant-in-Aid for Scientific Research on Priority Areas (B)

Allocation TypeSingle-year Grants
Research InstitutionJapan Advanced Institute of Science and Technology

Principal Investigator

ASANO Tetsuo  JAIST, Information Science, Professor, 情報科学研究科, 教授 (90113133)

Co-Investigator(Kenkyū-buntansha) OBOKATA Koji  JAIST, Information Science, Associate, 情報科学研究科, 助手 (50303326)
TOKUYAMA Takeshi  Tohoku Univ. Information Science, Prof., 情報科学研究科, 教授 (40312631)
Project Period (FY) 1998 – 2000
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥14,300,000 (Direct Cost: ¥14,300,000)
Fiscal Year 2000: ¥2,300,000 (Direct Cost: ¥2,300,000)
Fiscal Year 1999: ¥5,800,000 (Direct Cost: ¥5,800,000)
Fiscal Year 1998: ¥6,200,000 (Direct Cost: ¥6,200,000)
KeywordsAlgorithm / Computational Geometry / Asymptotic analysis / データ構造 / クラスタリング / 画像処理 / 画像検索 / 計算複雑度 / 近似アルゴリズム / 印刷
Research Abstract

In this study we have been engaged in several problems which were thought to be computationally Hard within the traditional framework of asymptotic analysis popular in the theory of algorithms. More concretely, we have studied the problem of designing optimal dot patterns for printing and that of clustering. For the former problem, we have noticed that the discrepancy theory can be applied to the problem. The discrepancy theory has been rigorously studied and is full of important theoretical results. Combining it with the notion of matching in the graph theory, we have succeeded in improving the performance of the solutions obtained. Since we also had satisfactory experimental results, we intend to submit the result to some journal. For the problem of clustering, we have applied an algorithmic approach to image query system On image database with good experimental results that exceed results by traditional Approaches. We are planning to summarize the results in a paper to be submitted to some International journal in near future.

Report

(4 results)
  • 2001 Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • 1998 Annual Research Report
  • Research Products

    (25 results)

All Other

All Publications (25 results)

  • [Publications] S.C.Nandy, T.Harayama, T.Asano: "Dynamically maintaining the widest k-dense corridor"Theoretical Computer Science. 255. 627-639 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Asano, N.Katoh, T.Tokuyama: "A Unified Scheme for Detecting Fundamental Curves in Binary Edge Images"Computational Geometry:Theory and Applications. 18. 73-79 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Asano, D.Z.Chen, N.Katoh, T.Tokuyama: "Efficient Algorithms for Optimization-based Image Segmentation"International Journal of Computational Geometry and Applications. 11,2. 145-166 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] S. C. Nandy, T. Harayama, T. Asano: "Dynamically maintaining the widest k-dense corridor"Theoretical Computer Science. 255. 627-639 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Asano, N. Katoh, and T. Tokuyama: "A Unified Scheme for Detecting Fundamental Curves in Binary Edge Images"18. 73-79 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Asano, D. Z. Chen, N. Katoh, and T. Tokuyama: "Efficient Algorithms for Optimization-based Image Segmentation"11, 2. 145-166 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Asano,K.Obokata,T.Tokuyama: "On Detecting Digital Line Components in a Binary Image"Trans.of IEICE of Japan. (accepted).

    • Related Report
      2000 Annual Research Report
  • [Publications] S.C.Nandy,T.Harayama,T.Asano: "Dynamically Maintaining the Widest K-dense Corridor"Theoretical Computer Science. (accepted).

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Asano.,N.Katon,K.Kawashima: "A New Approximation Algorithm for the Capacitated Vehicle Routing Problems on a Tree"Journal of Combinatorial Optimization. (accepted).

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Asano,D.Z.Chen,N.Katoh,T.Tokuyama: "Algorithms for Optimization-Based Image Segmentation"Computational Geometry : Theory and Applications. (accepted).

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Asano: "Effective Use of Geometric Information for Clustering and Related Topics"IEICE Trans.on Fundamentals. E83-D. 418-427 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T.Asano,T.Matsui,T.Tokuyama: "Optimal Roundings of Sequences and Matrices"Nordic Journal of Computing. 17,3. 241-256 (2000)

    • Related Report
      2000 Annual Research Report
  • [Publications] T. Asano: "Effective Use of Geometric Information for Clustering and Related Topics"IEICE Trans. on Fundamentals. (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] T. Asano: "Digital Halftoning Algorithm Based on Random Space-Filling Curve"IEICE Trans. on Fundamentals. E82-A,3. 553-556 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] 浅野哲夫: "ディジタル直線検出問題の計算量に関するアルゴリズム論的考察"電子情報通信学会論文誌D. J83-D-I,1. 80-89 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] M. Halldorsson: "Finding Subsets Maximizing Minimum Structure"SIAM J. of Discrete Mathematics. 12,3. 342-359 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y. Asahiro: "Greedily Finding a Dense Subgraph"J. of Algorithms. 34,1. 203-221 (2000)

    • Related Report
      1999 Annual Research Report
  • [Publications] K. Imai: "Maximin Location of Convex Objects in a Polygon and Related Dynamic Voronoi Diagrams"J. of the Operations Research Society of Japan. 42,1. 45-58 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Asano, T.Tokuyama: "Topological Walk Revisited" IEICE Trans.on Fundamentals. E81-A,5. 751-756 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] 浅野、木村、嶋津: "画像の等高線表現とその応用" 情報処理学会論文誌. 39,12. 3242-3251 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] T.Asano: "Digital Halftoning Algorithm Based on Randon Space-Filling Curve" IEICE Trans.on Fundamentals. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Tamaki, T.Tokuyama: "How to Cut Pseudoparabolas into Segments" Discrete & Computational Geometry. 19. 265-290 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] A.Akutsu, H.Tamaki, T.Tokuyama: "Distribution of distances and triangles in a point set and algorithms for computing the largest common point sets" Discrete & Computational Geometry. 20. 307-331 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] H.Imai, K.Imai, T.Tokuyama: "Maximin Location of Convex Objects in a Polygon and Related Dynamic Voronui Diagrams" J.of Operations Research Society of Japan. 42-1. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] 今井、室田、浅野、茨木、小島: "離散構造とアルゴリズムV" 近代科学社, 250 (1998)

    • Related Report
      1998 Annual Research Report

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Published: 1998-04-01   Modified: 2016-04-21  

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