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Volumn , Issue , 2009, Pages 73-80

Contributing vertices-based minkowski sum of a non-convex polyhedron without fold and a convex polyhedron

Author keywords

3D envelope computation; Contributing vertices; Minkowski sum

Indexed keywords

COMPUTATIONAL GEOMETRY ALGORITHMS; CONTRIBUTING VERTICES; CONVEX DECOMPOSITION; CONVEX POLYHEDRONS; EXACT RESULTS; MINKOWSKI SUM; ORTHOGONAL BASIS VECTORS; ORTHOGRAPHIC PROJECTIONS;

EID: 70449552890     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SMI.2009.5170166     Document Type: Conference Paper
Times cited : (17)

References (24)
  • 1
    • 0032023389 scopus 로고    scopus 로고
    • Polynomial/rational approximation of Minkowski sum boundary curves
    • I-K Lee, M-S Kim, G Elber. Polynomial/rational approximation of Minkowski sum boundary curves. Graph. Models Image Process. 1998, 60(2): 136-165.
    • (1998) Graph. Models Image Process , vol.60 , Issue.2 , pp. 136-165
    • Lee, I.-K.1    Kim, M.-S.2    Elber, G.3
  • 2
    • 0026461546 scopus 로고
    • Solid-interpolating deformations: Construction and animation of PIPs
    • A Kaul, J Rossignac. Solid-interpolating deformations: construction and animation of PIPs. Comput. Graph. 1992, 16(1): 107-115.
    • (1992) Comput. Graph. , vol.16 , Issue.1 , pp. 107-115
    • Kaul, A.1    Rossignac, J.2
  • 4
    • 0020706698 scopus 로고
    • Spatial planning: A configuration space approach
    • T Lozano-Ṕerez. Spatial planning: a configuration space approach. IEEE Trans. Comput. 1983, 32(2): 108-120.
    • (1983) IEEE Trans. Comput. , vol.32 , Issue.2 , pp. 108-120
    • Lozano-Ṕerez, T.1
  • 6
  • 7
    • 0036523484 scopus 로고    scopus 로고
    • Robust geometric computing in motion
    • D Halperin. Robust geometric computing in motion. Int. J. Robotics Res. 2002, 21(3): 219-232.
    • (2002) Int. J. Robotics Res. , vol.21 , Issue.3 , pp. 219-232
    • Halperin, D.1
  • 8
    • 0000045918 scopus 로고    scopus 로고
    • The union of convex polyhedra in three dimensions
    • B Aronov, M Sharir, B Tagansky. The union of convex polyhedra in three dimensions. SIAM J. Comput. 1997, 26(6): 1670-1688.
    • (1997) SIAM J. Comput. , vol.26 , Issue.6 , pp. 1670-1688
    • Aronov, B.1    Sharir, M.2    Tagansky, B.3
  • 9
    • 70449590735 scopus 로고
    • Construction of minkowski sums and derivatives morphological combinations of arbitrary polyhedra in CAD/CAM systems
    • R Evans, M O'Connor, J Rossignac. Construction of Minkowski sums and derivatives morphological combinations of arbitrary polyhedra in CAD/CAM systems. US Patent 5159512, 1992.
    • (1992) US Patent 5159512
    • Evans, R.1    O'Connor, M.2    Rossignac, J.3
  • 10
    • 38049013361 scopus 로고    scopus 로고
    • Exact minkowski sums of polyhedra and exact and efficient decomposition of polyhedra in convex pieces
    • P Hachenberger. Exact Minkowski sums of polyhedra and exact and efficient decomposition of polyhedra in convex pieces. In: Proc. 15th Annual European Symposium on Algorithms, 2007: 669-680.
    • (2007) Proc. 15th Annual European Symposium on Algorithms , pp. 669-680
    • Hachenberger, P.1
  • 11
    • 84867969517 scopus 로고    scopus 로고
    • Boolean operations on 3d selective Nef complexes: Data structure, algorithms, optimized implementation and experiments
    • P Hachenberger, L Kettner, K Mehlhorn. Boolean operations on 3d selective Nef complexes: data structure, algorithms, optimized implementation and experiments. Comput. Geom. Theory Appl. 2007, 38(1-2): 64-99.
    • (2007) Comput. Geom. Theory Appl. , vol.38 , Issue.1-2 , pp. 64-99
    • Hachenberger, P.1    Kettner, L.2    Mehlhorn, K.3
  • 12
    • 33745806166 scopus 로고    scopus 로고
    • Accurate minkowski sum approximation of polyhedral models
    • G Varadhan, D Manocha. Accurate Minkowski sum approximation of polyhedral models. Graph. Models 2006, 68(4): 343-355.
    • (2006) Graph. Models , vol.68 , Issue.4 , pp. 343-355
    • Varadhan, G.1    Manocha, D.2
  • 14
    • 0027634404 scopus 로고
    • A unified computational framework for minkowski operations
    • P Ghosh. A unified computational framework for Minkowski operations. Comput. Graph. 1993, 17(4): 357-378.
    • (1993) Comput. Graph. , vol.17 , Issue.4 , pp. 357-378
    • Ghosh, P.1
  • 16
    • 0041329646 scopus 로고    scopus 로고
    • Improvements to algorithms for computing the minkowski sum of 3-polytopes
    • Y Wu, , J Shah, J Davidson. Improvements to algorithms for computing the Minkowski sum of 3-polytopes. Comput. Aided Des. 2003, 35(13): 1181-1192.
    • (2003) Comput. Aided Des. , vol.35 , Issue.13 , pp. 1181-1192
    • Wu, Y.1    Shah, J.2    Davidson, J.3
  • 17
    • 35148839521 scopus 로고    scopus 로고
    • Exact and efficient construction of Minkowski sums of convex polyhedra with applications
    • DOI 10.1016/j.cad.2007.05.017, PII S0010448507001492
    • E Fogel, D Halperin. Exact and efficient construction of Minkowski sums of convex polyhedra with applications. Comput. Aided Des. 2007, 39(11):929-940. (Pubitemid 47539371)
    • (2007) CAD Computer Aided Design , vol.39 , Issue.11 , pp. 929-940
    • Fogel, E.1    Halperin, D.2
  • 19
    • 0001160943 scopus 로고
    • Computing convolutions by reciprocal search
    • L Guibas, R Seidel. Computing convolutions by reciprocal search. Discrete Comput. Geom. 1987, 2: 175-193.
    • (1987) Discrete Comput. Geom. , vol.2 , pp. 175-193
    • Guibas, L.1    Seidel, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.