메뉴 건너뛰기




Volumn , Issue , 2001, Pages 77-86

Reliable two-dimensional graphing methods for mathematical formulae with two free variables

Author keywords

algebraic curves; formula graphing; GrafEq; graphing; implicit curves; interval analysis; interval arithmetic; relation graphing; Tupper interval arithmetic

Indexed keywords


EID: 84907012190     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/383259.383267     Document Type: Conference Paper
Times cited : (5)

References (21)
  • 2
    • 0020776928 scopus 로고
    • Topologically Reliable Display of Algebraic Curves
    • SIGGRAPH 83 Conference Proceedings, July
    • Dennis S. Arnon. Topologically Reliable Display of Algebraic Curves. Computer Graphics (SIGGRAPH 83 Conference Proceedings), 17(3):219-227, July 1983.
    • (1983) Computer Graphics , vol.17 , Issue.3 , pp. 219-227
    • Arnon, D.S.1
  • 7
    • 33751433220 scopus 로고
    • Global Optimization Using Interval Analysis - The Multi-Dimensional Case
    • Eldon Hansen. Global Optimization Using Interval Analysis - The Multi-Dimensional Case. Numerische Mathematik, 34(3):247-270, 1980.
    • (1980) Numerische Mathematik , vol.34 , Issue.3 , pp. 247-270
    • Hansen, E.1
  • 8
    • 0006482961 scopus 로고    scopus 로고
    • Interval Constraint Plotting for Interactive Visual Exploration of Implicitly Defined Relations
    • Timothy J. Hickey, Zhe Qiu, and Maarten H. van Emden. Interval Constraint Plotting for Interactive Visual Exploration of Implicitly Defined Relations. Reliable Computing, 6(1):81-92, 2000.
    • (2000) Reliable Computing , vol.6 , Issue.1 , pp. 81-92
    • Hickey, T.J.1    Qiu, Z.2    Van Emden, M.H.3
  • 9
    • 0041434344 scopus 로고
    • IEEE Task P754. IEEE, New York, NY, USA, August Revised A preliminary draft was published in the January 1980 issue of IEEE Computer, together with several companion articles. Also standardized as IEC 60559 (1989-01) Binary floating-point arithmetic for microprocessor systems
    • IEEE Task P754. ANSI/IEEE 754-1985, Standard for Binary Floating-Point Arithmetic. IEEE, New York, NY, USA, August 1985. Revised 1990. A preliminary draft was published in the January 1980 issue of IEEE Computer, together with several companion articles. Also standardized as IEC 60559 (1989-01) Binary floating-point arithmetic for microprocessor systems.
    • (1985) ANSI/IEEE 754-1985, Standard for Binary Floating-Point Arithmetic
  • 10
    • 0003608168 scopus 로고
    • Lecture notes prepared for a summer course at the University of Michigan, June 17-21
    • W. M. Kahan. A More Complete Interval Arithmetic. Lecture notes prepared for a summer course at the University of Michigan, June 17-21, 1968.
    • (1968) A More Complete Interval Arithmetic
    • Kahan, W.M.1
  • 11
    • 0006449981 scopus 로고    scopus 로고
    • Metrowerks. Macintosh Linpack Benchmark. http://www.metrowerks.com/ benchmarks/desktop/mac-linpack.html, 1999.
    • (1999) Macintosh Linpack Benchmark
  • 12
    • 84907013458 scopus 로고    scopus 로고
    • Tom Michiels. http://www.cs.kuleuven.ac.be/?tomm/bench.html, 2000.
    • (2000)
    • Michiels, T.1
  • 13
    • 0004293209 scopus 로고
    • Prentice Hall, Englewood Cliffs, New Jersey
    • R. E. Moore. Interval Analysis. Prentice Hall, Englewood Cliffs, New Jersey, 1966.
    • (1966) Interval Analysis
    • Moore, R.E.1
  • 15
    • 84907008119 scopus 로고    scopus 로고
    • Pedagoguery Software Inc. GrafEq™. http://www.peda.com/grafeq.
    • GrafEq™
  • 18
    • 0026889111 scopus 로고
    • Interval Analysis for Computer Graphics
    • SIGGRAPH 92 Conference Proceedings, July
    • John M. Snyder. Interval Analysis for Computer Graphics. Computer Graphics (SIGGRAPH 92 Conference Proceedings), 26(2):121-130, July 1992.
    • (1992) Computer Graphics , vol.26 , Issue.2 , pp. 121-130
    • Snyder, J.M.1
  • 19
    • 0027795823 scopus 로고
    • An Accurate Algorithm for Rasterizing Algebraic Curves
    • ACM SIGGRAPH and IEEE Computer Society, May
    • Gabriel Taubin. An Accurate Algorithm for Rasterizing Algebraic Curves. In Second Symposium on Solid Modeling. ACM SIGGRAPH and IEEE Computer Society, May 1993.
    • (1993) Second Symposium on Solid Modeling
    • Taubin, G.1
  • 20
    • 0028277127 scopus 로고
    • Distance Approximations for Rasterizing Implicit Curves
    • January
    • Gabriel Taubin. Distance Approximations for Rasterizing Implicit Curves. ACM Transactions on Graphics, 13(1):3-42, January 1994.
    • (1994) ACM Transactions on Graphics , vol.13 , Issue.1 , pp. 3-42
    • Taubin, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.