Abstract
The most general piecewise rational cubic function (GPRC) for monotone curve design has been extended to the rational bi-cubic partially blended function to preserve the shape of 3D monotone data. The rational bi-cubic partially blended function involves eight parameters in its description (four along each coordinate axes). Out of these eight shape parameters, four are constrained to preserve the shape of monotone data. The rest of the four parameters are free parameters and have been left free for the users to refine the shape of surface as desired. The developed method not only preserves the monotonicity of the data, but also assures that the visual display is smooth and pleasant.
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Hussain, M.Z., Hussain, M., Sarfraz, M. (2010). Visualization of Monotone Data by Rational Bi-cubic Interpolation. In: Gavrilova, M.L., Tan, C.J.K. (eds) Transactions on Computational Science VIII. Lecture Notes in Computer Science, vol 6260. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16236-7_10
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DOI: https://doi.org/10.1007/978-3-642-16236-7_10
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