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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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ALEF83
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Alefeld, G., and J. Hcrzberger, Introduction to Interval Computations, Academic Press, New York, 1983.
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BAJA88
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KALR89
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MITC90
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MITC91
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Mitchell, Don, ".Throe Applications of Interval Analysis in Computer Graphics," Course Notes for Frontiers in Rendenng, Siggraph '91.
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MOOR66
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Moore, R.E., Interval Analysis, Prentice Hail, Englewood Cliffs, New Jersey, 1966.
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MOOR79
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MOOR80
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Moore, R.E.. "New Results on Nonlinear Systems," in Interval Mathematics 1980, Karl Nickel, ed., Academic Press, New York, 1980, pp. 165-180.
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MUDU84
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Mudur, S.P.0 and P.A. Koparkar, "'Interval Methods fog Processing Geometric Objects," IEEE Computer Graphics and Applications, 4(2), Feb, 1984, pp. 7-17.
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RATS88
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SEGA90
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SNYD91
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SNYD92a
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SNYD92b
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SUFF90
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Suffem, Kevin G., and Edward Facket~ll, "'Interval Methods in Computer Graphics," Proceedingsof Ausgraph '90. Melbourne, Australia, 1990, pp. 35-44
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TIMM77
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Timmer, H.G., Analytic Backgroundfor Computation of Surface intersections, Douglas Aircraft Company Technical Memorandum CI-250-CAT- 77-036~ April 1977.
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TOTH85
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VONH87
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VONH89
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VONH90
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CITED BY 41
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Ron Avitzur , Olaf Bachmann , Norbert Kajler, From honest to intelligent plotting, Proceedings of the 1995 international symposium on Symbolic and algebraic computation, p.32-41, July 10-12, 1995, Montreal, Quebec, Canada
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Michael Burr , Sung Woo Choi , Benjamin Galehouse , Chee K. Yap, Complete subdivision algorithms, II: isotopic meshing of singular algebraic curves, Proceedings of the twenty-first international symposium on Symbolic and algebraic computation, July 20-23, 2008, Linz/Hagenberg, Austria
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Gokul Varadhan , Shankar Krishnan , Liangjun Zhang , Dinesh Manocha, Reliable implicit surface polygonization using visibility mapping, Proceedings of the fourth Eurographics symposium on Geometry processing, June 26-28, 2006, Cagliari, Sardinia, Italy
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INDEX TERMS
Primary Classification:
I.
Computing Methodologies
I.3
COMPUTER GRAPHICS
I.3.5
Computational Geometry and Object Modeling
Subjects:
Curve, surface, solid, and object representations
Additional Classification:
G.
Mathematics of Computing
G.1
NUMERICAL ANALYSIS
G.4
MATHEMATICAL SOFTWARE
Subjects:
Reliability and robustness
I.
Computing Methodologies
I.3
COMPUTER GRAPHICS
I.3.5
Computational Geometry and Object Modeling
Subjects:
Geometric algorithms, languages, and systems
I.3.7
Three-Dimensional Graphics and Realism
Subjects:
Raytracing
General Terms:
Algorithms,
Reliability
Keywords:
approximation,
constrained minimization,
constraint solution,
implicit curve,
inclusion function,
interval analysis
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