2001Unpublished venueRequires access

Geometric Hermite Interpolation with Cubic Curves and Those Properties

Sheng Li

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Abstract

A method of cubic curve Hermite interpolation is given in this paper.That solution is used to get the unique cubic curve which matches the interpolation condition if we have known two points as well as the angles between the corresponding tangents and chord.Thus we can construct cubic spline curves.The properties,curvature and offset curve of this curve are given,in addition samples are presented.

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What this paper is about

A method of cubic curve Hermite interpolation is given in this paper.That solution is used to get the unique cubic curve which matches the interpolation condition if we have known two points as well as the angles between the corresponding tangents and chord.Thus we can construct cubic spline curves.The properties,curvature and offset curve of this curve are given,in addition samples are presented.

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Available abstract

A method of cubic curve Hermite interpolation is given in this paper.That solution is used to get the unique cubic curve which matches the interpolation condition if we have known two points as well as the angles between the corresponding tangents and chord.Thus we can construct cubic spline curves.The properties,curvature and offset curve of this curve are given,in addition samples are presented.

Key concepts: Monotone cubic interpolation, Cubic Hermite spline, Cubic form, Tangent, Mathematics, Hermite spline, Smoothing spline, Curvature

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