Bezier cubic curves, Computer Graphics

Q. What are Bezier cubic curves? Derive their properties. OR  What are Bezier cubic curves? Derive these properties. Also show that the sum of the blending functions is identical to 1 for all values of t. Why is it important?

Ans. A Bezier curve section can be fitted to any no. of control points. The no. of control points to be approximated and their relative position determines the degree of the Bezier polynomial. These coordinates can be blended to produce the following position vector P (u), which describes the path of an approximating Bezier polynomial function between P0 and Pn. Thus the slope at the beginning of the curve is along the line joining the first two control points and the slope at the end of the curve is along the line joining the last two endpoints. Bezier curves are widely available in various CAD systems in graphics packages in painting packages since they are easy to implement and they are reasonably powerful in curve design. Many graphic packages provide only cubic spleen functions. This gives reasonable design flexibility while avoiding the increased calculation needed with higher order polynomials.  

 

 

Posted Date: 7/12/2012 6:50:39 AM | Location : United States







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

Write discussion on Bezier cubic curves
Your posts are moderated
Related Questions
Gourand shading and Phong shading a. Gourand shading OR Intensity interpolation scheme We will discuss such scheme in further section of Gourand shading OR Intensity in


what is zooming and panning in computer graph please explan??

DV Encoder Type 2: Encoder Type 2 generates a VfW compatible AVI file format. Such file has separate streams for audio and video and it can also be processed through DirectShow. T

Curve segment - properties of bezier curves Note : 1) The joining point on the curve along w.r.t. the parameter based upon second derivates of Q(t) is the acceleration. Wh

Removing Polygons Hidden through a Surrounding Polygon: The key to capable visibility calculation lies actually a polygon is not visible whether it is in back of a surrounding

What do you mean by parabolic splines?  For parabolic splines a parabola is fitted by the first three points p1, p2,p3 of the data array of kot points. Then a second parabolic

Determine the advantages of raster-scan systems (i)  Rasterisation is now performed faster since a special purpose processor is used. (ii)  The CPU is not slowed down by the

Question 1 Discuss the general properties of analog signal Question 2 Differentiate images and graphics Question 3 Explain the video compression standard H.263

Applications that can handle Bitmap Data Hundreds of applications are there in the market which can be used to modify or make bitmap data. For illustration: Adobe Photo Shop, C