Bezier cubic curves, Computer Graphics

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.  

 

 

Posted Date: 7/12/2012 6:50:39 AM | Location : United States







Related Discussions:- Bezier cubic curves, Assignment Help, Ask Question on Bezier cubic curves, Get Answer, Expert's Help, Bezier cubic curves Discussions

Write discussion on Bezier cubic curves
Your posts are moderated
Related Questions
Question: Suppose we have a video monitor with a display area measuring 12.8 inches across and 9.6 inches high.  If the resolution is 1024 by 768 and the aspect ratio is 1, what is

WHAT THAT S MEANS 0001

Horizontal Retrace - Hardware Primitives Horizontal retrace refers to the time an electron beam takes to traverse a scan line.Vertical retrace means the time taken by the elect

Key Frame Systems - computer animation This method is for low-level motion control. In fact these systems comprise languages that are designed simply to produce the in-between

Multimedia Tool Features General to nearly all multimedia tool platforms are various features for encapsulating the content, presenting the data, acquiring user input and cont


Distinguish between uniform scaling and differential scaling?  When the scaling factors sx and sy are assigned to the similar value, a uniform scaling is produced that maintain

diffrence between vecgen and bresenham'' s algorithams

Animation and Games - CAD and CAM In our childhood, we all have seen that the flip books of cricketers that came free with some soft drink and where some pictures of similar p

Referential Links: A third type of link is a referential link. It is associated to the associative link. Quite than representing a relationship among two related ideas, a referent