Reconstruction of Monotone Surface Using Rational Bi-Cubic Spline Interpolation

摘要

This study studies the reconstruction of monotone surface data with continuity by using partially blended rational cubic spline with twelve parameters. In order to preserve the shape preserving property, the sufficient condition for the monotonicity is obtained through mathematical derivation on all four boundary curves on each rectangular patch. Root Mean Square Error (RMSE) and the coefficient of determination R2 is used to estimate the error of the proposed scheme.