Bezier cubic curves, Computer Graphics

Assignment Help:

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.  

 

 


Related Discussions:- Bezier cubic curves

Key frame systems, Ask questionkms eey frame syst #Minimum 100 words accept...

Ask questionkms eey frame syst #Minimum 100 words accepted#

#, normal vector

normal vector

Sutherland cohen line clipping algorithm, Describe briefly Sutherland Cohen...

Describe briefly Sutherland Cohen line clipping algorithm.   OR   Describe Cohen Sutherland line clipping algorithm. Cohen Sutherland line clipping algorithm In this algorith

Digital video, Digital Video: Digital video is a form of video record...

Digital Video: Digital video is a form of video recording system which works through using a digital, quite than analog, representation of the video signal. It generic means,

Advantages of jpeg images, Advantages of JPEG Images Huge compressi...

Advantages of JPEG Images Huge compression ratios mean sooner download speeds. JPEG produces outstanding results for main photographs and complicated images. JPEG s

What is persistence, What is persistence? The time it takes the emitted...

What is persistence? The time it takes the emitted light from the screen to decompose one tenth of its original intensity is known as persistence.

Animation tools, Animation Tools: Hardware tools: PCs ,Macintosh, ...

Animation Tools: Hardware tools: PCs ,Macintosh, Amiga Software tools: -          Softimage ( Microsoft) ; -          Alias/ Wavefront ( SGI) -          3D s

Image classification, The image classification is the process to categorize...

The image classification is the process to categorize images into one of several classes or categories. In this project, there are seven categories (Piano, Kangaroo, Strawberry, Su

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