A class of C1 rational interpolation splines in one and two dimensions with region control

摘要

In this work, we use a kind of C-1 rational interpolation splines in one and two dimensions to generate curves and surfaces with region control. Simple data-dependent sufficient constraints are derived on the local control parameters to generate C-1 interpolation curves lying strictly between two given piecewise linear curves and C-1 interpolation surfaces lying strictly between two given piecewise bi-cubic blending linear interpolation surfaces.

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