Bezier curves, surface, and B-spline curves and Coons curve

About Bezier Curves, Surface, and B-spline Curves and Coons Curve:

In this article we will discuss about Bezier curves, Bezier surface, B-spline curves and Coons curve.

Bezier Curves:

• Bezier curves are developed by P. Bezier who is the founder of Renault.
• Bezier curves are used in designing of parts that are used in cars by using uni surf software.
• These curves are developed by Different type of passing techniques, by passing through a given data points this is interpolation technique.
• approximation technique is opposite to it where it does not passes through a given data points.
• By these data points, the shape of Bezier curves is controlled and also varies.
• It has high order derivatives by this the curves are very smooth.

Bezier Surface:

• Bezier surface is a synthetic surface, Bezier surface is produced by control points manipulation. this does not pass through all data points.
• Bezier surface can be easily modified.

Properties of Bezier surface:

• By the help of Bezier surface, the Convex hull is controlled.
• By using the coincide corner points the Bezier surface can easily develop a closed type.
• By pulling the control points the surface is used to change.
• In this, a high degree of polynomial get by the greater design flexibility.
• This shape of part of the surface cannot change due to the lack of local control.

Coons surface:

• Coon surface is the form of Transfinite interpolation. Coon surface is developed by using the infinite number of data points.
• Modification of coon surface is not easy. when we change the input curves the surface shape is changed.
• This type of surface can develop a smooth and blended surface. If the input curves are used to edit there is no change in the entire surface.
• This is used to form a closed type that is for blending the curves to get intersecting.

B-Splines curves:

• B-Spline curves are used to generate a single polynomial curve. These curves are the more powerful generation of Bezier curves.
• By the help of B-Spline curves, the complexity in the computation of Bezier curves can be made into a simple continuity.
• B-spline curves cannot affect the degree of the curve by adding control points to it. and this has the ability to interpolate a set of given data points.