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Volumn 34, Issue 4, 2005, Pages 775-787

The complexity of the union of (α,β)-covered objects

Author keywords

Fat objects; Motion planning; Realistic input models

Indexed keywords

CONVEX OBJECTS; DAVENPORT-SCHINZEL SEQUENCE; FAT OBJECTS; REALISTIC INPUT MODELS;

EID: 24344452560     PISSN: 00975397     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0097539702407515     Document Type: Article
Times cited : (38)

References (20)
  • 1
    • 0034356219 scopus 로고    scopus 로고
    • Pipes, cigars, and Kreplach: The union of Minkowski sums in three dimensions
    • P. AGARWAL AND M. SHARIR, Pipes, cigars, and Kreplach: The union of Minkowski sums in three dimensions, Discrete Comput. Geom., 24 (2000), pp. 645-685.
    • (2000) Discrete Comput. Geom. , vol.24 , pp. 645-685
    • Agarwal, P.1    Sharir, M.2
  • 2
    • 34547949769 scopus 로고
    • Computing depth orders for fat objects and related problems
    • P. AGARWAL, M. KATZ, AND M. SHARIR, Computing depth orders for fat objects and related problems, Comput. Geom., 5 (1995), pp. 187-206.
    • (1995) Comput. Geom. , vol.5 , pp. 187-206
    • Agarwal, P.1    Katz, M.2    Sharir, M.3
  • 4
    • 0028379061 scopus 로고
    • Algorithms for bichromatic line segment problems and polyhedral terrains
    • B. CHAZELLE, H. EDELSBRUNNER, L. GUIBAS, AND M. SHARIR, Algorithms for bichromatic line segment problems and polyhedral terrains, Algorithmica, 11 (1994), pp. 116-132.
    • (1994) Algorithmica , vol.11 , pp. 116-132
    • Chazelle, B.1    Edelsbrunner, H.2    Guibas, L.3    Sharir, M.4
  • 7
    • 0039179575 scopus 로고    scopus 로고
    • The complexity of the union of fat objects in the plane
    • A. EFRAT AND M. SHARIR, The complexity of the union of fat objects in the plane, Discrete Comput. Geom., 23 (2000), pp. 171-189.
    • (2000) Discrete Comput. Geom. , vol.23 , pp. 171-189
    • Efrat, A.1    Sharir, M.2
  • 8
    • 84861238508 scopus 로고    scopus 로고
    • On the union of α-curved objects
    • A. EFRAT AND M. KATZ, On the union of α-curved objects, Comput. Geom., 14 (1999), pp. 241254.
    • (1999) Comput. Geom. , vol.14 , pp. 241254
    • Efrat, A.1    Katz, M.2
  • 9
    • 0012741558 scopus 로고    scopus 로고
    • Dynamic data structures for fat objects and their applications
    • A. EFRAT, M. KATZ, F. NIELSEN, AND M. SHARIR, Dynamic data structures for fat objects and their applications, Comput. Geom., 15 (2000), pp. 215-227.
    • (2000) Comput. Geom. , vol.15 , pp. 215-227
    • Efrat, A.1    Katz, M.2    Nielsen, F.3    Sharir, M.4
  • 10
    • 38149145977 scopus 로고
    • Computing the smallest k-enclosing circle and related problems
    • A. EFRAT, M. SHARIR, AND A. ZIV, Computing the smallest k-enclosing circle and related problems, Comput. Geom., 4 (1994), pp. 119-136.
    • (1994) Comput. Geom. , vol.4 , pp. 119-136
    • Efrat, A.1    Sharir, M.2    Ziv, A.3
  • 11
    • 0000973364 scopus 로고    scopus 로고
    • 3-D vertical ray shooting and 2-D point enclosure, range searching, and arc shooting amidst convex fat objects
    • M. KATZ, 3-D vertical ray shooting and 2-D point enclosure, range searching, and arc shooting amidst convex fat objects, Comput. Geom., 8 (1997), pp. 299-316.
    • (1997) Comput. Geom. , vol.8 , pp. 299-316
    • Katz, M.1
  • 12
    • 38249010208 scopus 로고
    • Efficient output sensitive hidden surface removal for objects with small union size
    • M. KATZ, M. OVERMARS, AND M. SHARIR, Efficient output sensitive hidden surface removal for objects with small union size, Comput. Geom., 2 (1992), pp. 223-234.
    • (1992) Comput. Geom. , vol.2 , pp. 223-234
    • Katz, M.1    Overmars, M.2    Sharir, M.3
  • 13
    • 7544245726 scopus 로고
    • On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles
    • K. KEDEM, R. LIVNE, J. PACH, AND M. SHARIR, On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles, Discrete Comput. Geom., 1 (1986), pp. 59-71.
    • (1986) Discrete Comput. Geom. , vol.1 , pp. 59-71
    • Kedem, K.1    Livne, R.2    Pach, J.3    Sharir, M.4
  • 14
    • 85029474017 scopus 로고
    • On fat partitioning, fat covering, and the union size of polygons
    • Proceedings of the 3rd Workshop Algorithms Data Structure, Springer-Verlag, Berlin
    • M. VAN KREVELD, On fat partitioning, fat covering, and the union size of polygons, in Proceedings of the 3rd Workshop Algorithms Data Structure, Lecture Notes in Comput. Sci. 709, Springer-Verlag, Berlin, 1993, pp. 452-463.
    • (1993) Lecture Notes in Comput. Sci. , vol.709 , pp. 452-463
    • Van Kreveld, M.1
  • 16
    • 0036766931 scopus 로고    scopus 로고
    • On the boundary complexity of the union of fat triangles
    • J. PACH AND G. TARDOS, On the boundary complexity of the union of fat triangles, SIAM J. Comput., 31 (2002), pp. 1745-1760.
    • (2002) SIAM J. Comput. , vol.31 , pp. 1745-1760
    • Pach, J.1    Tardos, G.2
  • 17
    • 33645613208 scopus 로고    scopus 로고
    • The complexity of the union of cubes in three dimensions
    • to appear
    • J. PACH, I. SAFRUTI, AND M. SHARIR, The complexity of the union of cubes in three dimensions, Discrete Comput. Geom., to appear.
    • Discrete Comput. Geom.
    • Pach, J.1    Safruti, I.2    Sharir, M.3
  • 19
    • 33645611613 scopus 로고    scopus 로고
    • private communication
    • A. F. VAN DER STAPPEN, private communication, 1999.
    • (1999)
    • Van Der Stappen, A.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.