Rational Spline Interpolation Preserving the Shape of the Monotonic Data

Hasselt and Diepenbeek, Belgium June 23-June 27

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http://doi.ieeecomputersociety.org/10.1109/CGI.1997.601313

Computer Graphics International 1997 ...

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	ASCII Text	x
	M. Sarfraz, "Rational Spline Interpolation Preserving the Shape of the Monotonic Data," Computer Graphics International Conference, pp. 238, Computer Graphics International 1997 (CGI'97), 1997.

	BibTex	x
	@article{ 10.1109/CGI.1997.601313, author = {M. Sarfraz}, title = {Rational Spline Interpolation Preserving the Shape of the Monotonic Data}, journal ={Computer Graphics International Conference}, volume = {0}, year = {1997}, isbn = {0-8186-7825-9}, pages = {238}, doi = {http://doi.ieeecomputersociety.org/10.1109/CGI.1997.601313}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Computer Graphics International Conference TI - Rational Spline Interpolation Preserving the Shape of the Monotonic Data SN - 0-8186-7825-9 SP EP A1 - M. Sarfraz, PY - 1997 KW - data visualisation KW - rational spline interpolation KW - monotonic data shape preservation KW - rational interpolant KW - scientific data KW - curve representation KW - positivity KW - monotonicity KW - convexity KW - shape preservation KW - cubic numerators KW - quadratic denominators VL - 0 JA - Computer Graphics International Conference ER -

M. Sarfraz, Dept. of Inf. & Comput. Sci., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia

A curve interpolation scheme for monotonic data has been developed. This scheme uses piecewise rational cubic functions. The parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data as well as to control the shape if further modification is required. An algorithm has been constructed, for the economical C/sup 1/ curve implementation and pleasant demonstration. Furthermore, the C/sup 2/ case has also been considered for further smoothing the interpolant.

Index Terms:

data visualisation, rational spline interpolation, monotonic data shape preservation, rational interpolant, scientific data, curve representation, positivity, monotonicity, convexity, shape preservation, cubic numerators, quadratic denominators

Citation:

M. Sarfraz, "Rational Spline Interpolation Preserving the Shape of the Monotonic Data," cgi, pp.238, Computer Graphics International 1997 (CGI'97), 1997

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