메뉴 건너뛰기




Volumn 41, Issue 3, 2005, Pages 147-157

Fast algorithms for computing the smallest k-enclosing circle

Author keywords

Clustering; Outliers; Shape fitting

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; COMPUTER VISION; LEARNING SYSTEMS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 11244289453     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-004-1123-0     Document Type: Article
Times cited : (47)

References (17)
  • 1
    • 0001698164 scopus 로고    scopus 로고
    • Constructing levels in arrangements and higher order Voronoi diagrams
    • +]
    • +] P. K. Agarwal, M. de Berg, J. Matoušek, and O. Schwarzkopf. Constructing levels in arrangements and higher order Voronoi diagrams. SIAM J. Comput., 27:654-667, 1998.
    • (1998) SIAM J. Comput. , vol.27 , pp. 654-667
    • Agarwal, P.K.1    De Berg, M.2    Matoušek, J.3    Schwarzkopf, O.4
  • 2
    • 4243114094 scopus 로고    scopus 로고
    • Approximating extent measures of points
    • [AHV]
    • [AHV] P. K. Agarwal, S. Har-Peled, and K. R. Varadarajan. Approximating extent measures of points. J. ACM, 51(4):606-635, 2004.
    • (2004) J. ACM , vol.51 , Issue.4 , pp. 606-635
    • Agarwal, P.K.1    Har-Peled, S.2    Varadarajan, K.R.3
  • 3
    • 0000982419 scopus 로고
    • Applications of parametric searching in geometric optimization
    • [AST]
    • [AST] P. K. Agarwal, M. Sharir, and S. Toledo. Applications of parametric searching in geometric optimization. J. Algorithms, 17:292-318, 1994.
    • (1994) J. Algorithms , vol.17 , pp. 292-318
    • Agarwal, P.K.1    Sharir, M.2    Toledo, S.3
  • 4
    • 0005369097 scopus 로고    scopus 로고
    • Approximation algorithms for geometric problems
    • [BE]. D. S. Hochbaum, editor. PWS, Boston, MA
    • [BE] M. Bern and D. Eppstein. Approximation algorithms for geometric problems. In D. S. Hochbaum, editor, Approximationg Algorithms for NP-Hard Problems, pages 296-345. PWS, Boston, MA, 1997.
    • (1997) Approximationg Algorithms for NP-Hard Problems , pp. 296-345
    • Bern, M.1    Eppstein, D.2
  • 6
    • 0001275216 scopus 로고
    • Static and dynamic algorithms for k-point clustering problems
    • [DLSS]
    • [DLSS] A. Datta, H.-P. Lenhof, C. Schwarz, and M. Smid. Static and dynamic algorithms for k-point clustering problems. J. Algorithms, 19:474-503, 1995.
    • (1995) J. Algorithms , vol.19 , pp. 474-503
    • Datta, A.1    Lenhof, H.-P.2    Schwarz, C.3    Smid, M.4
  • 7
    • 0032643328 scopus 로고    scopus 로고
    • New lower bounds for convex hull problems in odd dimensions
    • [E]
    • [E] J. Erickson. New lower bounds for convex hull problems in odd dimensions. SIAM J. Comput., 28:1198-1214, 1999.
    • (1999) SIAM J. Comput. , vol.28 , pp. 1198-1214
    • Erickson, J.1
  • 8
    • 51249161526 scopus 로고
    • Iterated nearest neighbors and finding minimal polytopes
    • [EE]
    • [EE] D. Eppstein and J. Erickson. Iterated nearest neighbors and finding minimal polytopes. Discrete Comput. Geom., 11:321-350, 1994.
    • (1994) Discrete Comput. Geom. , vol.11 , pp. 321-350
    • Eppstein, D.1    Erickson, J.2
  • 9
    • 51249165581 scopus 로고
    • Better lower bounds on detecting affine and spherical degeneracies
    • [ES]
    • [ES] J. Erickson and R. Seidel. Better lower bounds on detecting affine and spherical degeneracies. Discrete Comput. Geom., 13:41-57, 1995.
    • (1995) Discrete Comput. Geom. , vol.13 , pp. 41-57
    • Erickson, J.1    Seidel, R.2
  • 10
    • 38149145977 scopus 로고
    • Computing the smallest k-enclosing circle and related problems
    • [ESZ]
    • [ESZ] A. Efrat, M. Sharir, and A. Ziv. Computing the smallest k-enclosing circle and related problems. Comput. Geom. Theory Appl., 4:119-136, 1994.
    • (1994) Comput. Geom. Theory Appl. , vol.4 , pp. 119-136
    • Efrat, A.1    Sharir, M.2    Ziv, A.3
  • 11
    • 0346369215 scopus 로고
    • Simple randomized algorithms for closest pair problems
    • [GRSS]
    • [GRSS] M. Golin, R. Raman, C. Schwarz, and M. Smid. Simple randomized algorithms for closest pair problems. Nordic J. Comput., 2:3-27, 1995.
    • (1995) Nordic J. Comput. , vol.2 , pp. 3-27
    • Golin, M.1    Raman, R.2    Schwarz, C.3    Smid, M.4
  • 12
    • 0142183803 scopus 로고    scopus 로고
    • Fast algorithms for computing the smallest k-enclosing disc
    • [HM], volume 2832 of Lecture Notes in Computer Science. Springer-Verlag, Berlin
    • [HM] S. Har-Peled and S. Mazumdar. Fast algorithms for computing the smallest k-enclosing disc. In Proc. 11th Annu. European Sympos. Algorithms, volume 2832 of Lecture Notes in Computer Science, pages 278-288. Springer-Verlag, Berlin, 2003.
    • (2003) Proc. 11th Annu. European Sympos. Algorithms , pp. 278-288
    • Har-Peled, S.1    Mazumdar, S.2
  • 13
    • 2342636412 scopus 로고    scopus 로고
    • Shape fitting with outliers
    • [HW]
    • [HW] S. Har-Peled and Y. Wang. Shape fitting with outliers. SIAM J. Comput., 33(2):269-285, 2004.
    • (2004) SIAM J. Comput. , vol.33 , Issue.2 , pp. 269-285
    • Har-Peled, S.1    Wang, Y.2
  • 14
    • 0029247532 scopus 로고
    • On enclosing k points by a circle
    • [M1]
    • [M1] J. Matoušek. On enclosing k points by a circle. Inform. Process. Lett., 53:217-221, 1995.
    • (1995) Inform. Process. Lett. , vol.53 , pp. 217-221
    • Matoušek, J.1
  • 15
    • 21844496076 scopus 로고
    • On geometric optimization with few violated constraints
    • [M2]
    • [M2] J. Matoušek. On geometric optimization with few violated constraints. Discrete Comput. Geom., 14:365-384, 1995.
    • (1995) Discrete Comput. Geom. , vol.14 , pp. 365-384
    • Matoušek, J.1
  • 17
    • 0004616914 scopus 로고    scopus 로고
    • Closest-point problems in computational geometry
    • [S]. J.-R. Sack and J. Urrutia, editors. Elsevier B. V. North-Holland, Amsterdam
    • [S] M. Smid. Closest-point problems in computational geometry. In J.-R. Sack and J. Urrutia, editors, Handbook of Computational Geometry, pages 877-935. Elsevier B. V. North-Holland, Amsterdam, 2000.
    • (2000) Handbook of Computational Geometry , pp. 877-935
    • Smid, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.