Then the algorithm for cubic Trigonometric Bézier curve interpolation is deduced from continuous function f defined in area [a,b] with partitions ⊿:0 1n 1 na t t t? t b= < < < < = and their valuesf(ti)(i= 0,1,,n).

According to the particularity of the images edge that they are the combination of the crossing points of the sample line and the boundary between the blood and the heart by the time, we designed a searching method of linear template based on gray, and combined manual intervention and curve interpolation technology to complete the detection automatically.

Generating subdivision surfaces with complicated curve interpolation constrains is a concerned topic for computer graphics and geometric modeling.

The concept of quartic Hermite curve is presented for an application to meet some special engineering requisitions, based on the theoretic methods of Hermite interpolation curve.

A shape preserving rational cubic B-spline interpolation curve is derived.

The interpolation curve on a given surface is one of the important tasks of CAGD.

This paper presented a method of constructing a C1 continuous,closed cubic NURBS interpolating curve.

A local method for constructing cubic Bézier curves, which are curvature contiunous, convexity-preserving and interpolation given data points, tangent lines and curvatures, is presented.

Combined subdivision scheme is good for interpolating curve networks,but it cannot construct complex surface with sharp features.