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

What are the advantages of electrostatic plotters, What are the advantages ...

What are the advantages of electrostatic plotters?  They are faster than pen plotters and very high quality printers. Recent electrostatic plotters contain a scan-conv

Mpeg-2 , MPEG-2 : MPEG-2 that is Moving Picture Experts Group format 2 is ...

MPEG-2 : MPEG-2 that is Moving Picture Experts Group format 2 is the standard used through DVD and is of a much higher quality than MPEG- 1. This format gives for 720 x 480 resolu

Painting and drawing tools in multimedia, Painting and Drawing Tools Pa...

Painting and Drawing Tools Painting software is offered to producing crafted bitmapped images. Drawing software as Corel Draw and Canvas is offered to generating vector depend

Explain clearly the condense editing using examples, QUESTION 1. Creat...

QUESTION 1. Create a COMPLETE storyboard for a movie of 2 minutes duration on ONE of the following subject: a. Poverty b. Global Warming c. Smoking d. Drugs e. D

Potentially entering and leaving points - clipping, Potentially entering an...

Potentially entering and leaving points - P E and P L The intersection point of the line and window might be classified either like potentially leaving or entering. Before g

Explain parallel and perspective projection, Distinguish between parallel a...

Distinguish between parallel and perspective projection Parallel Projection Perspective projection Coordinate position are transformed

How avar values generate to get realistic movement, How avar values generat...

How avar values generate to get realistic movement There are numerous ways of generating avar values to get realistic movement. One way is to use markers on a real person (or w

Taxonomy of projection - viewing transformation, Taxonomy of Projection - v...

Taxonomy of Projection - viewing transformation There are different types of projections as per to the view that is essential. The subsequent figure 3 demonstrates taxonomy o

High level techniques - motion specification, High Level Techniques (Motion...

High Level Techniques (Motion Generalized) These are techniques utilized to explain the general motion behavior of any type of graphic object. Such techniques are algorithms o

Student, hi I need help with photoshop

hi I need help with photoshop

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