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

Matlab, need help in coding

need help in coding

Intersection test - visible surface detection, Intersection Test - Visible ...

Intersection Test - Visible Surface Detection Test: It called Intersection Test also: we go for intersection test, if Min-max test fails. Now we take each edge individually

Applications-introduction to computer graphics, Applications Research ...

Applications Research in computer graphics has a wide range of application as well as both photorealistic and non-photorealistic image synthesis, image-based rendering and mod

Animator studio and elastic reality - computer animation, Animator Studio a...

Animator Studio and Elastic Reality - Computer Animation Animator Studio It is a cell animation program from AutoDesk. Its predecessor was Animator Pro for PC DOS. Anima

Image processing process, Image Processing Process Images are the last ...

Image Processing Process Images are the last product of most processes in computer graphics. The ISO that is International Standards Organization explains computer graphics as

Use the outline method to plot font boundaries, 1. Use the outline method t...

1. Use the outline method to plot the following font boundaries (style should remain the same). Implement your method in C language.    ANswer: Here letter G is produced

Important points about the diffuse reflection, Important Points About the D...

Important Points About the Diffuse Reflection An extremely rough surface appears uniformly bright from each viewing direction Q the intensity of reflected light is identical i

Advantage and disadvantage of plasma panel-graphics hardware, Advantage and...

Advantage and Disadvantage of Plasma panel - Graphics Hardware Advantage 1. Slim design as Wall mountable 2. Larger than LCD screens Disadvantage

Character Generation, Explain Various techniques of Character Generation Al...

Explain Various techniques of Character Generation Algorithm?

Lossy audio formats, Lossy Audio Formats: These are based on sound models ...

Lossy Audio Formats: These are based on sound models which eliminate audio data such humans cannot or can hardly hear, for example: a low volume sound after a large volume sound.

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