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

Multimedia, Multimedia- It is a new aspect of literacy which is being recog...

Multimedia- It is a new aspect of literacy which is being recognized as technology expands the manner people communicate. The principle of literacy increasingly, is a measure of th

Transformation for parallel projection, Transformation for parallel project...

Transformation for parallel projection Parallel projections is also termed as Orthographic projection, are projections into one of the coordinate planes as x = 0, y = 0 or z

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

Assignemt, i need help in my Engineering graphic assignment

i need help in my Engineering graphic assignment

DDA, limitationsof dda

limitationsof dda

Polygon clipping algorithm, Write a polygon clipping algorithm to clip a po...

Write a polygon clipping algorithm to clip a polygon against rectangular clipping are. Read the vertices of polygon to be clipped. 2. Read the coordinates of the rectangular cl

Polygon filling algorithm - raster graphics and clipping, Polygon Filling A...

Polygon Filling Algorithm - Raster Graphics and Clipping In several graphics displays, this becomes essential to differentiate between different regions by filling them along

Overstriking, why overstriking is harmful.justify

why overstriking is harmful.justify

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