2012•Journal of Shaoguan UniversityRequires access

Region control of rational quartic interpolationspline curve with derivatives

Yufeng Sun

Abstract

To constrain the interpolating curves to be bounded in the given region is an important problem in curve design.A rational quartic interpolating spline with cubic denominators is constructed.The sufficient conditions for the interpolating curves to be above,below or between the given broken lines or piecewise quadratic curves are derived..

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Key concepts: Quartic function, Mathematics, Quadratic equation, Piecewise, Bounded function, Interpolation (computer graphics), Mathematical analysis, Smoothing spline