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

Describe digital printing and prepress, Question 1: (a) Describe Digita...

Question 1: (a) Describe Digital Printing and Prepress? Also state the advantages and disadvantages of Digital printing? Question 2: (a) What are the three most import

What is scaling, What is scaling?  The scaling transformations changes...

What is scaling?  The scaling transformations changes the shape of an object and can be carried out by multiplying every vertex (x,y) by scaling factor Sx, Sy where Sx is the

Input and hardcopy devices - 2d shape primitives, Input and Hardcopy Device...

Input and Hardcopy Devices  This section gives a brief introduction to the functioning of some well known input and hardcopy devices. Input devices include keyboard, mouse, sca

Silicon graphics - hardware for computer animation, Silicon Graphics - Hard...

Silicon Graphics - Hardware for computer animation The SGI platform is one of the most broadly used hardware platforms in professional or broadcast feature computer animation

Line drawing - points and lines, Line Drawing - Points and lines Line ...

Line Drawing - Points and lines Line drawing is accomplished through computing the intermediate point coordinates along the line path between two given end points. Since, scre

3D transformation, what are the steps involved in 3D transformation

what are the steps involved in 3D transformation

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