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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.
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What are the important properties of Bezier Curve? It requires only four control points It always passes by the first and last control points The curve lies enti
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what type of animation is produced by the line y=mx+c?
Interactive Computer Animation Interactive Computer Animation that is interactively utilized by users for example: games. Sprite animation is interactive and utilized broadly
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