Markov chains and computer-aided geometric design: part I

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Markov chains and computer-aided geometric design: part I - problems and constraints

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ACM Transactions on Graphics (TOG) archive
Volume 3 , Issue 3 (July 1984) table of contents

Pages: 204 - 222

Year of Publication: 1984

ISSN:0730-0301

Author

Ronald N. Goldman

Control Data Corporation, Arden Hills, MN

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 1, Downloads (12 Months): 14, Citation Count: 2

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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.

	1	Brian A. Barsky , Anthony D. DeRose, The Beta2-spline: a Special Case of the Beta-spline Curve and, University of California at Berkeley, Berkeley, CA, 1983
	2	CHUNO, K.L. Elementary Probability Theory with Stochastic Processes. Springer-Verlag, New York, 1975.
	3	COHEN, E., LYCHE, T., AND RIESENFELD, R. Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics. Comput. Graph. Image Proc. 14 (1980), 87-111.
	4	FORREST, A.R. Interactive interpolation and approximation by Bezier polynomials. Comput. J. 15 (1972), 71-79.
	5	GOLDMAN, R.N. An urnful of blending functions. IEEE Comput. Graph. Appl. 3, 7 (1983), 49- 54.
	6	GOLDMAN, R.N. An intuitive approach to Bezier and other random curves and surfaces. Siggraph Tutorial on Freeform Surfaces, 1983.
	7	GOLDMAN, R.N. Geometry and probability. Siggraph Tutorial on Freeform Surfaces, 1984.
	8	GOLDMAN, R.N. Polya's urn model and computer aided geometric design. SIAM J. Alg. Discr. Meth. 6, 1, (Jan. 1985), 1-28.
	9	Ronald N. Goldman, Markov chains and computer aided geometric design: Part II—examples and subdivision matrices, ACM Transactions on Graphics (TOG), v.4 n.1, p.12-40, Jan. 1985 [doi>10.1145/3973.3974]
	10	William J. Gordon , Richard F. Riesenfeld, Bernstein-Bézier Methods for the Computer-Aided Design of Free-Form Curves and Surfaces, Journal of the ACM (JACM), v.21 n.2, p.293-310, April 1974 [doi>10.1145/321812.321824]
	11	KARLIN, S. Total positivity, absorption probabilities and applications. Trans. Amer. Math. Soc. 3,1 (1964), 33-107.
	12	KARLIN, S. Total Positivity, Vol. 1. Stanford University Press, Stanford, Calif., 1968.
	13	KARLIN, S., AND STUDDEN, W. Tchebycheff Systems: With Applications in Analysis and Statistics. Interscience Publishers, New York.
	14	NIELSON, G.M., RIESENFELD, R.F., AND WEISS, N.A. Iterates of Markov operators. J. Approx. Theory 17, 4 (1976), 321-331.

CITED BY 2

	Richard R. Patterson, Projective transformations of the parameter of a Bernstein-Bézier curve, ACM Transactions on Graphics (TOG), v.4 n.4, p.276-290, Oct. 1985
	Ronald N. Goldman, Markov chains and computer aided geometric design: Part II—examples and subdivision matrices, ACM Transactions on Graphics (TOG), v.4 n.1, p.12-40, Jan. 1985