Visualization of Data Subject to Positive Constraints

Abstract

In this paper, first free parameters are constrained in the description of rational cubic function [6] to \u00a0preserve \u00a0the \u00a0shape \u00a0of \u00a0data \u00a0that \u00a0lies \u00a0above \u00a0the \u00a0straight \u00a0line. \u00a0Then, \u00a0rational \u00a0cubic \u00a0function \u00a0is \u00a0extended \u00a0to rational \u00a0bicubic \u00a0partially \u00a0blended \u00a0function \u00a0(Coons \u00a0patches). \u00a0A \u00a0local \u00a0positivity \u00a0preserving \u00a0scheme \u00a0is developed for positive data by \u00a0making \u00a0constraints \u00a0on free parameters \u00a0in the \u00a0description \u00a0of \u00a0rational \u00a0bicubic partially blended patches. We also develop at the end the constraints for visualizing a data that lie above the plane. \u00a0