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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.
Raster Scan Display Device - types of refresh monitors Now day screen display is also based on Cathode ray Tube technology, except that in place of displaying the picture tra
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Points and Lines - Graphic primitives In the previous section, we have seen to draw primitive objects; one has to firstly scan convert the objects. This concern to the operat
What do you mean by scan conversion? A main task of the display processor is digitizing a picture definition given in an application program into a set of pixel-intensity valu
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