메뉴 건너뛰기




Volumn 43, Issue 8, 2010, Pages 688-699

Divide-and-conquer for Voronoi diagrams revisited

Author keywords

Biarc approximation; Divide and conquer; Medial axis; Motion planning; Trimmed offset; Voronoi diagram

Indexed keywords

ATOMIC STEP; BI-ARC APPROXIMATION; CIRCULAR ARC; CONSTRUCTION ALGORITHMS; DELAUNAY TRIANGULATION METHOD; DIVIDE AND CONQUER; FREE-FORM OBJECT; INCLUSION TEST; INPUT DATAS; MEDIAL AXIS; NUMERICAL STABILITIES; PLANAR DOMAIN; RUNTIMES; VORONOI DIAGRAMS;

EID: 77953139553     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2010.04.004     Document Type: Article
Times cited : (23)

References (33)
  • 5
    • 43049165971 scopus 로고    scopus 로고
    • Computation of medial axis and offset curves of curved boundaries in planar domain
    • L. Cao, and J. Liu Computation of medial axis and offset curves of curved boundaries in planar domain Computer-Aided Design 40 4 2008 465 475
    • (2008) Computer-Aided Design , vol.40 , Issue.4 , pp. 465-475
    • Cao, L.1    Liu, J.2
  • 11
    • 4544361914 scopus 로고    scopus 로고
    • MATHSM: Medial axis transform toward high speed machining of pockets
    • G. Elber, E. Cohen, and S. Drake MATHSM: Medial axis transform toward high speed machining of pockets Computer-Aided Design 37 2005 241 250
    • (2005) Computer-Aided Design , vol.37 , pp. 241-250
    • Elber, G.1    Cohen, E.2    Drake, S.3
  • 13
    • 52449147685 scopus 로고
    • A sweep line algorithm for Voronoi diagrams
    • S. Fortune A sweep line algorithm for Voronoi diagrams Algorithmica 2 1987 153 174
    • (1987) Algorithmica , vol.2 , pp. 153-174
    • Fortune, S.1
  • 14
    • 0032046509 scopus 로고    scopus 로고
    • Voronoi diagrams and offset curves of curvilinear polygons
    • M. Held Voronoi diagrams and offset curves of curvilinear polygons Computer-Aided Design 30 4 1998 287 300
    • (1998) Computer-Aided Design , vol.30 , Issue.4 , pp. 287-300
    • Held, M.1
  • 15
    • 0035276713 scopus 로고    scopus 로고
    • VRONI: An engineering approach to the reliable and efficient computation of Voronoi diagrams of points and line segments
    • M. Held VRONI: An engineering approach to the reliable and efficient computation of Voronoi diagrams of points and line segments Computational Geometry: Theory and Applications 18 2 2001 95 123
    • (2001) Computational Geometry: Theory and Applications , vol.18 , Issue.2 , pp. 95-123
    • Held, M.1
  • 16
    • 67349265906 scopus 로고    scopus 로고
    • Topology-oriented incremental computation of Voronoi diagrams of circular arcs and straight-line segments
    • M. Held, and S. Huber Topology-oriented incremental computation of Voronoi diagrams of circular arcs and straight-line segments Computer-Aided Design 41 5 2009 327 338 Special issue: Voronoi Diagrams and their Applications
    • (2009) Computer-Aided Design , vol.41 , Issue.5 , pp. 327-338
    • Held, M.1    Huber, S.2
  • 17
    • 0028393138 scopus 로고
    • Pocket machining based on contour-parallel tool paths generated by means of proximity maps
    • M. Held, G. Lukacs, and L. Andor Pocket machining based on contour-parallel tool paths generated by means of proximity maps Computer-Aided Design 26 3 1994 189 203
    • (1994) Computer-Aided Design , vol.26 , Issue.3 , pp. 189-203
    • Held, M.1    Lukacs, G.2    Andor, L.3
  • 19
    • 0003351855 scopus 로고
    • Concrete and abstract voronoi diagrams
    • Springer
    • R. Klein Concrete and Abstract Voronoi Diagrams Lecture Notes in Computer Science vol. 400 1990 Springer
    • (1990) Lecture Notes in Computer Science , vol.400
    • Klein, R.1
  • 23
    • 0002058718 scopus 로고
    • Generalization of Voronoi diagrams in the plane
    • D.T. Lee, and R.L.S. Drysdale Generalization of Voronoi diagrams in the plane SIAM Journal on Computing 10 1981 73 87
    • (1981) SIAM Journal on Computing , vol.10 , pp. 73-87
    • Lee, D.T.1    Drysdale, R.L.S.2
  • 24
    • 0030549637 scopus 로고    scopus 로고
    • A compact piecewise-linear Voronoi diagram for convex sites in the plane
    • M. McAllister, D. Kirkpatrick, and J. Snoeyink A compact piecewise-linear Voronoi diagram for convex sites in the plane Discrete & Computational Geometry 15 1996 73 105 (Pubitemid 126317930)
    • (1996) Discrete and Computational Geometry , vol.15 , Issue.1 , pp. 73-105
    • McAllister, M.1    Kirkpatrick, D.2    Snoeyink, J.3
  • 28
    • 31344432184 scopus 로고    scopus 로고
    • Trimming local and global self-intersections in offset curves/surfaces using distance maps
    • J.-K. Seong, G. Elber, and M.-S. Kim Trimming local and global self-intersections in offset curves/surfaces using distance maps Computer-Aided Design 38 2006 183 193
    • (2006) Computer-Aided Design , vol.38 , pp. 183-193
    • Seong, J.-K.1    Elber, G.2    Kim, M.-S.3
  • 30
    • 0022061437 scopus 로고
    • Intersection and closest-pair problems for a set of circular discs
    • M. Sharir Intersection and closest-pair problems for a set of circular discs SIAM Journal on Computing 14 1985 448 468
    • (1985) SIAM Journal on Computing , vol.14 , pp. 448-468
    • Sharir, M.1
  • 31
    • 33746266485 scopus 로고    scopus 로고
    • Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics
    • Z. ír, R. Feichtinger, and B. Jüttler Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics Computer-Aided Design 38 2006 608 618
    • (2006) Computer-Aided Design , vol.38 , pp. 608-618
    • Ír, Z.1    Feichtinger, R.2    Jüttler, B.3
  • 32
    • 0346755279 scopus 로고
    • An O(n logn)algorithm for the Voronoi diagram of a set of simple curve segments
    • C.-K. Yap An O (n log n) algorithm for the Voronoi diagram of a set of simple curve segments Discrete & Computational Geometry 2 1987 365 393
    • (1987) Discrete & Computational Geometry , vol.2 , pp. 365-393
    • Yap, C.-K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.