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2010 Fiscal Year Final Research Report

Algorithms for Geometric Computational Problems Considering Constraints from Practice and Their Applications

Research Project

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Project/Area Number 19300002
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Research Field Fundamental theory of informatics
Research InstitutionJapan Advanced Institute of Science and Technology

Principal Investigator

ASANO Tetsuo  Japan Advanced Institute of Science and Technology, 情報科学研究科, 教授 (90113133)

Project Period (FY) 2007 – 2010
Keywords計算幾何学 / アルゴリズム / 三角形分割 / 三等分曲線
Research Abstract

In this research we have dealt with the following three problems on computational geometry from a unified point of view. For the first problem we have developed a memory-efficient algorithm for mapping objects in a low-dimensional space so that their dissimilarity is reflected as their distance. For the second problem on triangular mesh we have developed an algorithm based on practical criteria. The third problem is on trisector curves for two points in the plane. We have proved many mathematical properties on the curve together with efficient algorithms for drawing.

  • Research Products

    (42 results)

All 2010 2009 2008 2007 Other

All Journal Article (21 results) (of which Peer Reviewed: 21 results) Presentation (20 results) Remarks (1 results)

  • [Journal Article] In-place Linear-time Algorithms for Euclidean Distance Transform2010

    • Author(s)
      T.Asano, H.Tanaka
    • Journal Title

      LNCS Transactions on Computational Science 8

      Pages: 103-113

    • Peer Reviewed
  • [Journal Article] Optimal Triangulations of points and segments with steiner points2010

    • Author(s)
      B.Aronov, T.Asano, S.Funke
    • Journal Title

      International Journal of Computational Geometry and Applications 20,1

      Pages: 89-104

    • Peer Reviewed
  • [Journal Article] Disc Covering Problem with Application to Digital Halftoning2010

    • Author(s)
      T.Asano, P.Brass, S.Sasahara
    • Journal Title

      Theory of Computing System vol.46,No.2

      Pages: 157-173

    • Peer Reviewed
  • [Journal Article] Some theoretical challenges in digital geometry : A perspective2009

    • Author(s)
      T.Asano, V.E.Brimkov, R.P.Barneva.
    • Journal Title

      Discrete Applied Mathematics 157(16)

      Pages: 3362-3371

    • Peer Reviewed
  • [Journal Article] Finding Nearest Larger Neighbors : A Case Stgudy in Algorithm Design and Analysis2009

    • Author(s)
      T.Asano, S.Bereg, D.Kirkpatrick
    • Journal Title

      Lecture Notes in Computer Science("Efficient Algorithms,")(editied by S.Albers, H.Alt, and S.Naeher)(Springer)

      Pages: 249-260

    • Peer Reviewed
  • [Journal Article] Constructing Optimal Highways2009

    • Author(s)
      H.-K.Ahn, H.Alt, T.Asano, S.W.Bae, Peter Brass, Otfried Cheong, Christian Knauer, Hyeon-Suk Na, Chan-Su Shin, Alexander Wolff
    • Journal Title

      Internat.J.Found.Comput.Sci. 20,1

      Pages: 3-23

    • Peer Reviewed
  • [Journal Article] Some Generalizations of Least-Squares Algorithms2009

    • Author(s)
      T.Asano, N.Katoh, K.Mehlhorn, T.Tokuyama
    • Journal Title

      Statistical Science and Interdiciplinary Research ("Algorithms, Architectures and Information Systems Security,")(edited by B.B.Bhattacharya, S.Sur-Kolay, S.C.Nandy, and A.BaguchiI)(World Scientific Publishers) Vol.3

      Pages: 55-74

    • Peer Reviewed
  • [Journal Article] Constant-Working-Space Algorithms for Image Processing2009

    • Author(s)
      T.Asano
    • Journal Title

      Monograph("ETVC08 : Emerging Trends and Challenges in Visual Computing,")(edited by Frank Nielsen) ETVC2008

      Pages: 268-283

    • Peer Reviewed
  • [Journal Article] A Linear-Space Algorithm for Distance Preserving Graph Embedding2009

    • Author(s)
      T.Asano, P.Bose, P.Carmi, A.Maheshwari, C.Shu, M.Smid, S.Wuhrer
    • Journal Title

      Computational Geometry : Theory and Applications 42(4)

      Pages: 289-304

    • Peer Reviewed
  • [Journal Article] Constructing Optimal Highways2009

    • Author(s)
      H.-K.Ahn, H.Alt, T.Asano, S.W.Bae, P.Brass, O.Cheong, C.Knauer, H.-S.Na, C.-S Shin, A.Wolff.
    • Journal Title

      Int.J.Found.Comput.Sci. 20(1)

      Pages: 3-23

    • Peer Reviewed
  • [Journal Article] Online Uniformity of Integer Points on a Line2008

    • Author(s)
      T.Asano
    • Journal Title

      Inf.Process.Lett. 109(1)

      Pages: 57-60

    • Peer Reviewed
  • [Journal Article] Space-Efficient Algorithm for Image Rotation2008

    • Author(s)
      T.Asano, S.Bitou, M.Motoki, N.Usui
    • Journal Title

      IEICE Transactions 91-A(9)

      Pages: 2341-2348

    • Peer Reviewed
  • [Journal Article] Voronoi Diagrams with Respect to Criteria on Vision Information2008

    • Author(s)
      T.Asano, N.Katoh, H.Tamaki, T.Tokuyama
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics Vol.25

      Pages: 1-16

    • Peer Reviewed
  • [Journal Article] A Generalization of Magic Squares with Applications to Digital Halftoning2008

    • Author(s)
      B.Aronov, T.Asano, Y.Kikuchi, S.C.Nandy, S.Sasahara, T.Uno
    • Journal Title

      Theory of Computing System Volume 42, Number 2

      Pages: 143-156

    • Peer Reviewed
  • [Journal Article] A Robust Fingerprint Indexing Scheme Using Minutia Neighborhood Structure and Low-order Delaunay Triangles2007

    • Author(s)
      X.Liang, A.Bishnu, T.Asano
    • Journal Title

      IEEE Transactions on Information Forensics and Security Volume 2, No.4

      Pages: 721-733

    • Peer Reviewed
  • [Journal Article] Aspect-Ratio Voronoi Diagram and Its Complexity Bounds2007

    • Author(s)
      T.Asano
    • Journal Title

      Information Processing Letters volume 105, Issue 1, 31

      Pages: 26-31

    • Peer Reviewed
  • [Journal Article] Combinatorial Approach to Fingerprint Binarization and Minutiae Extraction Using Euclidean Distance Transform2007

    • Author(s)
      X.Liang, A.Bishnu, T.Asano
    • Journal Title

      International Journal of Pattern Recognition and Artificial Intelligence vol.27,no.7

      Pages: 1141-1158

    • Peer Reviewed
  • [Journal Article] Zone diagrams : Existence, Uniqueness and Algorithmic Challenge2007

    • Author(s)
      T.Asano, J.Matousek, T.Tokuyama
    • Journal Title

      SIAM J.On Computing Vol.37, Issue 4

      Pages: 1182-1198

    • Peer Reviewed
  • [Journal Article] The distance trisector curve2007

    • Author(s)
      T.Asano, J.Matousek, T.Tokuyama
    • Journal Title

      Advances in Mathematics Vol.212, Issue 1

      Pages: 338-360

    • Peer Reviewed
  • [Journal Article] In-place Algorithm for Connected Components Labeling

    • Author(s)
      T.Asano, H.Tanaka
    • Journal Title

      Journal of Pattern Recognition Research.(accepted for publication in)

    • Peer Reviewed
  • [Journal Article] Constant-Work-Space Image Scan with a Given Angle

    • Author(s)
      T.Asano
    • Journal Title

      Interdisciplinary Information Sciences.(accepted for publication in)

    • Peer Reviewed
  • [Presentation] Faster Computation of the Robinson-Foulds Distance between Phylogenetic Networks2010

    • Author(s)
      T.Asano, J.Jansson, K.Sadakane, R.Uehara, G.Valiente
    • Organizer
      Proc.21st Combinatorial Pattern Matching(to appear in)
    • Place of Presentation
      New york, USA
    • Year and Date
      2010-08-05
  • [Presentation] Resource-Constrained Algorithms : Space-Time Tradeoffs2010

    • Author(s)
      T.Asano
    • Organizer
      Proc.WAAC 2010, Korea-Japan Workshop on Algorithms and Computation, pp.190-201
    • Place of Presentation
      Kanazawa, Japan
    • Year and Date
      2010-07-05
  • [Presentation] Do We Need a Stack to Erase a Component in a Binary Image?2010

    • Author(s)
      T.Asano
    • Organizer
      Fifth International Conference on FUN WITH ALGORITHMS, pp.16-27
    • Place of Presentation
      Ischia, Italy
    • Year and Date
      2010-06-02
  • [Presentation] Kaboozle is NP-complete, even in a Strip Form2010

    • Author(s)
      T.Asano, E.D.Demaine, M.L.Demaine, R.Uehara
    • Organizer
      Fifth International Conference on FUN WITH ALGORITHMS, pp.28-36
    • Place of Presentation
      Ischia, Italy
    • Year and Date
      2010-06-02
  • [Presentation] Constant-Work-Space Algorithm for a Shortest Path in a Simple Polygon2010

    • Author(s)
      T.Asano, W.Mulzer, Y.Wang
    • Organizer
      Proc.4th International Workshop on Algorithms and Computation, WALCOM, Dhaka, Bangladesh, pp.9-20, February 2010 (Lecture Notes of Computer Science, LNCS 5942, Springer)
    • Place of Presentation
      Dhakka, Pakistan(Invited talk)
    • Year and Date
      2010-02-08
  • [Presentation] Constant Working-Space Algorithms for Geometric Problems2009

    • Author(s)
      T.Asano, G.Rote.
    • Organizer
      Proc.Canadian Conference on Computational Geometry, pp.87-90
    • Place of Presentation
      Vancouver, Canada
    • Year and Date
      2009-08-13
  • [Presentation] Constant-Working-Space Algorithms for Image Processing2008

    • Author(s)
      T.Asano
    • Organizer
      ETVC08 : Emerging Trends and Challenges in Visual Computing, Ecole Polytechnique
    • Place of Presentation
      Paris, France
    • Year and Date
      20081118-20081120
  • [Presentation] Constant Working Space Algorithms with Applications2008

    • Author(s)
      T.Asano
    • Organizer
      Abstracts of 5th International Conference of Applied Mathematics and Computing, p.1-47
    • Place of Presentation
      Plvdiv, Bulgaria
    • Year and Date
      20080812-20080818
  • [Presentation] Constant-Working Space Algorithm for Image Processing2008

    • Author(s)
      T.Asano
    • Organizer
      Proc.of the First AAAC Annual meeting, p.3
    • Place of Presentation
      Hong Kong
    • Year and Date
      20080426-20080427
  • [Presentation] Linear Boundary and Corner detection using limited number of sensor rows2008

    • Author(s)
      B.Prasad, A.Bishnu, T.Asano
    • Organizer
      Proc.IWCIA (Int.Workshop on Combinatorial Image Analysis) 2008, pp.250-261
    • Place of Presentation
      Buffalo, USA
    • Year and Date
      20080407-20080409
  • [Presentation] Constant-Working-Space Image Scan with a Given Angle2008

    • Author(s)
      T.Asano
    • Organizer
      Proc.24th European Workshop on Computational Geometry, pp.165-168
    • Place of Presentation
      Nancy, France.
    • Year and Date
      20080318-20080320
  • [Presentation] Online Uniformity of Integer Points on a Line2008

    • Author(s)
      T.Asano
    • Organizer
      Proc.24th European Workshop on Computational Geometry, pp.99-102
    • Place of Presentation
      Nancy, France.
    • Year and Date
      20080318-20080320
  • [Presentation] Constant-Working-Space Algorithms : How Fast Can We Solve Problems without Using Any Extra Array?2008

    • Author(s)
      T.Asano
    • Organizer
      ISAAC 2008,p.1
    • Place of Presentation
      Goldcoast, Australia(招待講演)
    • Year and Date
      2008-12-20
  • [Presentation] Constant-Working-Space Algorithms2008

    • Author(s)
      T.Asano
    • Organizer
      Proc.Kyoto RIMS International Workshop on Computational Geometry and Discrete Mathematics
    • Place of Presentation
      Kyoto, Japan
    • Year and Date
      2008-10-15
  • [Presentation] Dissimilarity Preserving Embedding of Objects on the Plane2007

    • Author(s)
      T.Asano
    • Organizer
      Invited Talk at International Xu Guangqi Conference
    • Place of Presentation
      Shanghai, China
    • Year and Date
      20071014-20071019
  • [Presentation] Optimal Triangulation with Steiner Points2007

    • Author(s)
      B.Aronov, T.Asano, S.Funke
    • Organizer
      Proc.ISAAC 2007, pp.681-691
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2007-12-19
  • [Presentation] In-Place Algorithm for Image Rotation2007

    • Author(s)
      T.Asano, S.Bitou, M.Motoki, N.Usui
    • Organizer
      Proc.ISAAC 2007, pp.704-715
    • Place of Presentation
      Sendai, Japan
    • Year and Date
      2007-12-19
  • [Presentation] On-line uniformity of points2007

    • Author(s)
      T.Asano, S.Teramoto
    • Organizer
      Book of Abstracts for 8th Hellenic-European Conference on Computer Mathematics and its Applications, pp.21-22
    • Place of Presentation
      Athens, Greece
    • Year and Date
      2007-09-05
  • [Presentation] Linear-Space Algorithms for Distance Preserving Embedding2007

    • Author(s)
      T.Asano, P.Bose, P.Carmi, A.Maheshwari, C.Shu, M.Smid, S.Wuhrer
    • Organizer
      Canadian Conference on Computational Geometry, pp.185-188
    • Place of Presentation
      Ottawa, Canada
    • Year and Date
      2007-08-22
  • [Presentation] Voronoi Diagram with Respect to Criteria on Vision Information2007

    • Author(s)
      T.Asano, N.Katoh, H.Tamaki, T.Tokuyama
    • Organizer
      Proc.the 4th International Symposium on Voronoi Diagrams in Science and Engineering, pp.25-32
    • Place of Presentation
      Pontypridd, Wales, UK
    • Year and Date
      2007-07-09
  • [Remarks] ホームページ等

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Published: 2012-01-26   Modified: 2016-04-21  

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