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Volumn 28, Issue 10, 1996, Pages 807-817

Robust interval solid modelling Part I: Representations

Author keywords

CAD; CAM; Data structure; Interval geometries; Non manifold objects; Reliability; Robustness; Rounded interval arithmetic

Indexed keywords

COMPUTER AIDED MANUFACTURING; GEOMETRY; POLYNOMIALS; RELIABILITY; SURFACES; TOPOLOGY;

EID: 0030269356     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/0010-4485(96)00013-9     Document Type: Article
Times cited : (76)

References (36)
  • 3
    • 0024627489 scopus 로고
    • The problems of accuracy and robustness in geometric computation
    • Hoffmann, C M 'The problems of accuracy and robustness in geometric computation' Computer Vol 22 No 3 (1989) pp 31-41
    • (1989) Computer , vol.22 , Issue.3 , pp. 31-41
    • Hoffmann, C.M.1
  • 4
    • 85034732039 scopus 로고
    • Consistent calculations for solid modeling
    • Baltimore, MD, 5-7 June 1985. ACM, New York
    • Segal, M and Sequin, C 'Consistent calculations for solid modeling' Proc. 1st ACM Symp. on Computational Geometry Baltimore, MD, 5-7 June 1985. ACM, New York (1985) pp 29-38
    • (1985) Proc. 1st ACM Symp. on Computational Geometry , pp. 29-38
    • Segal, M.1    Sequin, C.2
  • 7
    • 0024946856 scopus 로고
    • A solid modeling system free from topological inconsistency
    • Sugihara, K and Iri, M 'A solid modeling system free from topological inconsistency' J. Inform. Process. Vol 12 No 4 (1989) pp 380-393
    • (1989) J. Inform. Process. , vol.12 , Issue.4 , pp. 380-393
    • Sugihara, K.1    Iri, M.2
  • 8
    • 0024122109 scopus 로고
    • Verifiable implementations of geometric algorithms using finite precision arithmetic
    • Milenkovic, V J 'Verifiable implementations of geometric algorithms using finite precision arithmetic' Artificial Intelligence Vol 37 (1988) pp 377-401
    • (1988) Artificial Intelligence , vol.37 , pp. 377-401
    • Milenkovic, V.J.1
  • 11
    • 0027664694 scopus 로고
    • Robustness of numerical methods in geometric computation when problem data is uncertain
    • Desaulniers, H and Stewart N F 'Robustness of numerical methods in geometric computation when problem data is uncertain' Comput.-Aided Des. Vol 25 No 9 (1993) pp 539-545
    • (1993) Comput.-Aided Des. , vol.25 , Issue.9 , pp. 539-545
    • Desaulniers, H.1    Stewart, N.F.2
  • 12
    • 0006418662 scopus 로고
    • Local robustness and its application to polyhedral intersection
    • Stewart, A J 'Local robustness and its application to polyhedral intersection' Int. J. Comput. Geom. Applicat. Vol 4 No 1 (1994) pp 87-118
    • (1994) Int. J. Comput. Geom. Applicat. , vol.4 , Issue.1 , pp. 87-118
    • Stewart, A.J.1
  • 13
    • 0027660564 scopus 로고
    • Robustness in solid modeling: A tolerance-based intuitionistic approach
    • Fang, S, Bruderlin, B and Zhu, X 'Robustness in solid modeling: a tolerance-based intuitionistic approach' Comput.-Aided Des. Vol 25 No 9 (1993) pp 567-576
    • (1993) Comput.-Aided Des. , vol.25 , Issue.9 , pp. 567-576
    • Fang, S.1    Bruderlin, B.2    Zhu, X.3
  • 14
    • 0028442751 scopus 로고
    • Error-free boundary evaluation based on a lazy rational arithmetic: A detailed implementation
    • Benouamer, M, Michelucci, D and Peroche, B 'Error-free boundary evaluation based on a lazy rational arithmetic: A detailed implementation' Comput.-Aided Des. Vol 26 No 6 (1993) pp 403-415
    • (1993) Comput.-Aided Des. , vol.26 , Issue.6 , pp. 403-415
    • Benouamer, M.1    Michelucci, D.2    Peroche, B.3
  • 15
    • 0029293902 scopus 로고
    • Towards a topology for computational geometry
    • Barker, S M 'Towards a topology for computational geometry' Comput.-Aided Des. Vol 27 No 4 (1995) pp 311-318
    • (1995) Comput.-Aided Des. , vol.27 , Issue.4 , pp. 311-318
    • Barker, S.M.1
  • 16
    • 0004293209 scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • Moore, R E Interval Analysis Prentice-Hall, Englewood Cliffs, NJ (1966)
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 17
    • 0028259873 scopus 로고
    • Interrogation of differential geometry properties for design and manufacture
    • Maekawa, T and Patrikalakis, N M 'Interrogation of differential geometry properties for design and manufacture' Vis. Computer Vol 10 No 4 (1994) pp 216-237
    • (1994) Vis. Computer , vol.10 , Issue.4 , pp. 216-237
    • Maekawa, T.1    Patrikalakis, N.M.2
  • 18
    • 0027678264 scopus 로고
    • Computation of singularities and intersections of offsets of planar curves
    • Maekawa, T and Patrikalakis, N M 'Computation of singularities and intersections of offsets of planar curves' Comput.-Aided Geom. Des. Vol 10 No 5 (1993) pp 407-429
    • (1993) Comput.-Aided Geom. Des. , vol.10 , Issue.5 , pp. 407-429
    • Maekawa, T.1    Patrikalakis, N.M.2
  • 22
    • 0005836616 scopus 로고
    • Offsets of polynomial Bézier curves: Hermite approximation with error bounds
    • Lyche, T and Schumaker, L L (Eds.) Academic Press
    • Sederberg, T W and Buehler, D B 'Offsets of polynomial Bézier curves: Hermite approximation with error bounds' in Lyche, T and Schumaker, L L (Eds.) Mathematical Models in Computer Aided Geometric Design Vol II, Academic Press (1992) pp 549-558
    • (1992) Mathematical Models in Computer Aided Geometric Design , vol.2 , pp. 549-558
    • Sederberg, T.W.1    Buehler, D.B.2
  • 23
    • 0005836972 scopus 로고
    • Representation of geophysical maps with uncertainty
    • Thalmann, N M and Thalmann, D (Eds.) Lausanne, Switzerland. Springer, Tokyo
    • Tuohy, S T and Patrikalakis, N M 'Representation of geophysical maps with uncertainty' in Thalmann, N M and Thalmann, D (Eds.) Communicating with Virtual Worlds, Proc. CG Int. '93 Lausanne, Switzerland. Springer, Tokyo (1993) pp 179-192
    • (1993) Communicating with Virtual Worlds, Proc. CG Int. '93 , pp. 179-192
    • Tuohy, S.T.1    Patrikalakis, N.M.2
  • 25
    • 0041678481 scopus 로고
    • Robust interval algorithm for surface intersections
    • MIT, Department of Ocean Engineering, Cambridge, MA December
    • Hu, C-Y, Maekawa, T, Patrikalakis, N M and Ye, X 'Robust interval algorithm for surface intersections' Design Laboratory Memorandum 95-13 MIT, Department of Ocean Engineering, Cambridge, MA (December 1995).
    • (1995) Design Laboratory Memorandum 95-13
    • Hu, C.-Y.1    Maekawa, T.2    Patrikalakis, N.M.3    Ye, X.4
  • 26
    • 0041395700 scopus 로고
    • PhD Thesis Massachusetts Institute of Technology, Cambridge, MA July
    • Bliek, C 'Computer methods for design automation' PhD Thesis Massachusetts Institute of Technology, Cambridge, MA (July 1992)
    • (1992) Computer Methods for Design Automation
    • Bliek, C.1
  • 31
    • 0001771575 scopus 로고
    • The radial edge structure: A topological representation for non-manifold geometric modeling
    • Wozny, M J, McLaughlin, H and Encarnacao, J (Eds.) Elsevier Science, Holland
    • Weiler, K 'The radial edge structure: A topological representation for non-manifold geometric modeling' in Wozny, M J, McLaughlin, H and Encarnacao, J (Eds.) Geometric Modeling for CAD Applications Elsevier Science, Holland (1986) pp 3-36
    • (1986) Geometric Modeling for CAD Applications , pp. 3-36
    • Weiler, K.1
  • 32
    • 0002351074 scopus 로고
    • SGC: A dimension-independent model for point sets with internal structures and incomplete boundaries
    • Wozny, M J, Turner, J U and Preiss, K (Eds.) Elsevier Science, Holland
    • Rossignac, J R and O'Connor, M A 'SGC: A dimension-independent model for point sets with internal structures and incomplete boundaries' in Wozny, M J, Turner, J U and Preiss, K (Eds.) Geometric Modelling for Product Engineering Elsevier Science, Holland (1990) pp 145-180
    • (1990) Geometric Modelling for Product Engineering , pp. 145-180
    • Rossignac, J.R.1    O'Connor, M.A.2
  • 33
    • 0001809930 scopus 로고
    • Vertex-based representation of non-manifold boundaries
    • Wozny, M J, Turner, J U and Preiss, K (Eds.) Elsevier Science, Holland
    • Gürsöz, E L, Choi, Y and Prinz, F B 'Vertex-based representation of non-manifold boundaries' in Wozny, M J, Turner, J U and Preiss, K (Eds.) Geometric Modelling for Product Engineering Elsevier Science, Holland (1990) pp 107-130
    • (1990) Geometric Modelling for Product Engineering , pp. 107-130
    • Gürsöz, E.L.1    Choi, Y.2    Prinz, F.B.3
  • 34
    • 21144463023 scopus 로고
    • Representing geometric structures in d dimensions: Topology and order
    • Brisson, E 'Representing geometric structures in d dimensions: Topology and order' Discrete Comput. Geom. Vol 9 (1993) pp 387-426
    • (1993) Discrete Comput. Geom. , vol.9 , pp. 387-426
    • Brisson, E.1
  • 35
    • 0043181327 scopus 로고
    • Topological structures for generalized boundary representations
    • Cambridge, MA: MIT Sea Grant College Program September
    • Bardis, L and Patrikalakis, N M 'Topological structures for generalized boundary representations' Technical Report MITSG 94-22 Cambridge, MA: MIT Sea Grant College Program (September 1994)
    • (1994) Technical Report MITSG 94-22
    • Bardis, L.1    Patrikalakis, N.M.2
  • 36
    • 0030268781 scopus 로고    scopus 로고
    • Robust interval solid modeling: Part II, boundary evaluation
    • Hu, C-Y, Patrikalakis, N M and Ye, X 'Robust interval solid modeling: Part II, boundary evaluation' Comput.-Aided Des. Vol 28 No 10 (1996) pp 819-830
    • (1996) Comput.-Aided Des. , vol.28 , Issue.10 , pp. 819-830
    • Hu, C.-Y.1    Patrikalakis, N.M.2    Ye, X.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.