Bezier curves - modeling and rendering, Computer Graphics

Assignment Help:

Bezier Curves - Modeling and Rendering

Bezier curves are utilized in computer graphics to turn out curves which display reasonably smooth at all scales. Such spline approximation method was developed through French engineer Pierre Bezier for automobile body implementation. Bezier spline was designed in that a manner which they are very helpful and convenient for curve and surface implementing and are easy to design Curves are trajectories of moving points. We will identify them as functions allocating a location of that moving point as in 2-D or 3-D, to a parameter t, that is parametric curves.

Curves are helpful in geometric modeling and they must have a shape that has a clear and intuitive relation to the way of the sequence of control points. One part of curves satisfying this need is Bezier curve.The Bezier curve requires merely two end points and the other points which control the endpoint tangent vector. Bezier curve is defined via a sequence of N + 1 control points, P0, P1,. . . , Pn. We explained the Bezier curve by using the algorithm that is invented via DeCasteljeau, based upon recursive splitting of the intervals combining the consecutive control points. For Bezier splines a purely geometric construction does not rely upon any polynomial formulation and such is extremely simple to know. The DeCasteljeau technique is an algorithm that performs repeated bi-linear interpolation to calculate splines of any order.


Related Discussions:- Bezier curves - modeling and rendering

Explain about the computer-aided design, Explain about the Computer-Aided D...

Explain about the Computer-Aided Design CAD is used in the design and development of new products in a several of applications both at home and on a commercial/industrial basis

Spline curve - modeling and rendering, Spline curve - Modeling and Renderin...

Spline curve - Modeling and Rendering Spline curve is created by using Control points that control the shape of the curve Spline curve is a composite curve formed along with s

Tablet computer - cad and cam, Tablet Computer - CAD and CAM Tablet ...

Tablet Computer - CAD and CAM Tablet Computer: it is a complete computer comprises in a touch screen. Tablet computers can be specialized for only Internet utilize or be fu

Different types of parallel and perspective projection, Q.   Describe diffe...

Q.   Describe different types of parallel and perspective projection used in computer graphics.

Displacement mapping, Implement displacement mapping and bump mapping on a ...

Implement displacement mapping and bump mapping on a sphere. The displacement can be whatever your choice. The bump map can be whatever your choice as well.

What are the important applications of computer graphics, Can you list at l...

Can you list at least three important applications of computer graphics? There are lots of interesting applications of computer graphics. Three common applications are compute

Polygon or area clipping algorithm, Polygon or Area Clipping Algorithm - Su...

Polygon or Area Clipping Algorithm - Sutherland-Hodgman Algorithm There are different algorithms as Liang-Barsky, Line clipping, Weiler-Atherton Polygon Clipping,

Explain the merits and demerits of plasma panel display, Explain the merits...

Explain the merits and demerits of Plasma panel display. Advantages: Refreshing is not needed. Produce a very steady image free of Flicker. Less bulky than a CRT.

Normalization transformation, what is normalization transformation?why is i...

what is normalization transformation?why is it needed and important?give simple example also.

How many times will vertex appear in the intersection points, 1. For the po...

1. For the polygon shown in Figure on the next page, how many times will the vertex V 1 appear in the set of intersection points for the scan line passing through that point?  How

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd