摘要

In this work, we deal with the region control of C-2 interpolation curves and surfaces using a class of rational interpolation splines in one and two dimensions. Simple sufficient data-dependent constraints are derived on the local control parameters to generate C-2 interpolation curves lying strictly between two given piecewise linear curves and C-2 interpolation surfaces lying strictly between two given piecewise bi-liner blending quintic interpolation surfaces. Moreover, we also develop an algorithm concerning the application of the C-2 rational interpolation spline surfaces on image interpolation.