2010•Unpublished venueRequires access

Three kinds of adjusted trigonometric spline curves

Jiongfeng Liang

Abstract

Three kinds of trigonometric spline bases are constructed.Based on these bases,three kinds of trigonometric spline curves are defined.As each piece of these trigonometric spline curves is generated by three consecutive control points,these curves retain many properties of the quadratic B-spline curve,but they can achieve higher order continuity than the quadratic B-spline curve.For equidistant knots,these curves are C2 continuous,and they are C3 continuous under special conditions. Besides,these curves are closer to the control polygon than the quadratic B-spline curve.

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Key concepts: Mathematics, Trigonometry, Smoothing spline, Equidistant, Trigonometric polynomial, Quadratic equation, Hermite spline, Spline (mechanical)