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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.
Constant intensity shading OR Flat shading In this technique particular intensity is calculated for each polygon surface that is all points that lie upon the surface of the
Q: For the following polygon, prepare an initial sorted edge list and then make the active edge list for scan lines y = 5,20,30,35 Coordinates of the vertices are as shown in Figur
Web-based Services: Commonly utilized software is: Protected Area Archive characteristics: Image display, roam, zoom and Image enhancement. Simple image processing.
what is fixed point scaling? how composit transformation techniques works on it
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Example: Exemplify the Bresenham line generation algorithm through digitizing the line along with end points (20, 10) and (30, 18) Solution: m = (y2 - y1)/( x2 - x1) =
what is shearing transformation?
Construction of an Isometric Projection - Transformation In this projection, the direction of projection i.e. d = (d 1 ,d 2 ,d 3 ) makes an identical angles with all the 3-pr
Consider at line segment AB in the Figure k, parallel to the z-axis along with end points A (3, 2, 4) and B (3, 2, 8). Perform a perspective projection on the z = 0 plane from the
Consider the line segment AB in 3-Dimentional parallel to the z-axis along with end points A (- 5,4,2) and also B (5,-6,18). Carry out a perspective projection upon the X=0 plane;
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