Bezier curves - modeling and rendering, Computer Graphics

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.

Posted Date: 4/4/2013 5:03:13 AM | Location : United States







Related Discussions:- Bezier curves - modeling and rendering, Assignment Help, Ask Question on Bezier curves - modeling and rendering, Get Answer, Expert's Help, Bezier curves - modeling and rendering Discussions

Write discussion on Bezier curves - modeling and rendering
Your posts are moderated
Related Questions
short note on shading

Discuss various Techniques for Character Generation


Line Clipping Algorithm - Cohen Sutherland Algorithm Line is a series of endless number of points; here no two points contain space in among them. Hence, the above said inequa

Parametric Continuity Conditions   To ensure a smooth transitions from one section of a piecewise parametric curve to the next, we can impose various continuity conditions at the

Object Space - approaches for visible surface determination The second approach as object-space that compares all objects directly along with each other inside the scene defin

Ellipse generating algorithm: Algorithm is similar to circle algorithm. We divide the ellipse on the positive quadrant into two regions. Region 1 where the slope > -1, and Reg

What is the use of control points?  Spline curve can be specified by giving a set of coordinate positions known as control points, which shows the general shape of the curve, c

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

How can I perform feature extraction on images of different classes? How to obtain a vector of each class that contains its features?