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Volumn 30, Issue 8, 1998, Pages 657-665

Efficient and reliable methods for rounded-interval arithmetic

Author keywords

Binary representation; Denormalized number; IEEE Std 754 1985; Rounded interval arithmetic; Unit in the last place

Indexed keywords


EID: 0000694691     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(97)00086-9     Document Type: Article
Times cited : (31)

References (17)
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    • (1985) IEEE Standard for Binary Floating-Point Arithmetic
  • 2
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    • Reprinted
    • ANSI/IEEE Std 754-1985. IEEE Standard for Binary Floating-Point Arithmetic. IEEE, New York, 1985. Reprinted in ACM SIGPLAN Notices, 1987, 22(2), 9-25.
    • (1987) ACM SIGPLAN Notices , vol.22 , Issue.2 , pp. 9-25
  • 4
    • 0030215146 scopus 로고    scopus 로고
    • Topologically reliable approximation of composite Bézier curves
    • Cho, W., Maekawa, T. and Patrikalakis, N. M., Topologically reliable approximation of composite Bézier curves. Computer Aided Geometric Design, 1996, 13(6), 497-520.
    • (1996) Computer Aided Geometric Design , vol.13 , Issue.6 , pp. 497-520
    • Cho, W.1    Maekawa, T.2    Patrikalakis, N.M.3
  • 5
    • 0026122066 scopus 로고
    • What every computer scientist should know about floating-point arithmetic
    • Goldberg, D., What every computer scientist should know about floating-point arithmetic. ACM Computing Surveys, 1991. 23(1), 5-48.
    • (1991) ACM Computing Surveys , vol.23 , Issue.1 , pp. 5-48
    • Goldberg, D.1
  • 6
  • 8
    • 0030269356 scopus 로고    scopus 로고
    • Robust interval solid modeling: Part I, Representations
    • Hu, C.-Y., Patrikalakis, N. M. and Ye, X., Robust interval solid modeling: Part I, Representations. Computer-Aided Design, 1996, 28(10), 807-817.
    • (1996) Computer-Aided Design , vol.28 , Issue.10 , pp. 807-817
    • Hu, C.-Y.1    Patrikalakis, N.M.2    Ye, X.3
  • 9
    • 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. Computer-Aided Design, 1996, 28(10), 819-830.
    • (1996) Computer-Aided Design , vol.28 , Issue.10 , pp. 819-830
    • Hu, C.-Y.1    Patrikalakis, N.M.2    Ye, X.3
  • 12
    • 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. Computer Aided Geometric Design, 1993, 10(5), 407-429.
    • (1993) Computer Aided Geometric Design , vol.10 , Issue.5 , pp. 407-429
    • Maekawa, T.1    Patrikalakis, N.M.2
  • 13
    • 0028259873 scopus 로고
    • Interrogation of differential geometric properties for design and manufacture
    • Maekawa, T. and Patrikalakis, N. M., Interrogation of differential geometric properties for design and manufacture. The Visual Computer, 1994, 10(4), 216-237.
    • (1994) The Visual Computer , vol.10 , Issue.4 , pp. 216-237
    • Maekawa, T.1    Patrikalakis, N.M.2
  • 14
    • 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
  • 15
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    • Private communication, October 10
    • Pettinati, F., Private communication, October 10, 1997.
    • (1997)
    • Pettinati, F.1
  • 17
    • 0005853447 scopus 로고
    • Reliable interrogation of 3-D non-linear geophysical databases
    • Proceedings of CG International '95 (Leeds, UK, June 1995), ed. J. A. Vince and R. A. Earnshaw. Academic Press, London
    • Tuohy, S. T., Yoon, J. W. and Patrikalakis, N. M., Reliable interrogation of 3-D non-linear geophysical databases. In Computer Graphics: Developments in Virtual Environments, Proceedings of CG International '95 (Leeds, UK, June 1995), ed. J. A. Vince and R. A. Earnshaw. Academic Press, London. 1995, pp. 327-341.
    • (1995) Computer Graphics: Developments in Virtual Environments , pp. 327-341
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.