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

List of 3-d animation software, List of 3-D Animation Software Here is ...

List of 3-D Animation Software Here is a short list of several 3-D animation software are - Softimage ( Microsoft) -  Alias/Wavefront ( SGI) -  3D studia MAX (Autodesk

What is a video transition, QUESTION 1. Describe two methods for conver...

QUESTION 1. Describe two methods for converting 16x9 widescreen movie to 4x3. 2. Explain clearly the difference between File Format and Codec. 3. What is a video transiti

Characteristics of vector drawings, Characteristics of vector drawings: Ve...

Characteristics of vector drawings: Vector drawings are generally pretty small files as they include only data about the Bezier curves which form the drawing. The EPS-file format

Trivial acceptance case of cohen sutherland line clippings, Trivial accepta...

Trivial acceptance case of cohen sutherland line clippings Case 1: it is Trivial acceptance case whether the UDLR bit codes of the end points P, Q of a provided line is 0000

Behavioral animation - computer animation, Behavioral Animation - Computer ...

Behavioral Animation - Computer Animation It used for control the motion of several objects automatically. Objects or "actors" are specified rules about how they respond to th

Explain what you understand by corporate style guide, Question 1: (a) ...

Question 1: (a) Explain the term ‘logo' with the use of an example. (b) Explain in detail what three basic questions you need to ask yourself before creating a logo. (c) You

B splines, What is uniform rational splines

What is uniform rational splines

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

web design and editing, Web Design and Editing To edit and make a webs...

Web Design and Editing To edit and make a website, the big three softwares are use: 1)   DreamWeaver (MacroMedia) 2)   Frontpage (MicroSoft) 3)   Go Live (Adobe) 4)

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