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Question: A curve shape has three quadratic Bézier curve segments. The curves have been joined sequentially so that continuity of the first derivative of the resulting curve sha
1. Explain the Bresenham line generation algorithm via digitizing the line with end points as (15, 5) and also (25,13). Ans. Now we are utilizing the Bresenham line generati
Sutherland-Hodgman Algorithm Any polygon of any type of arbitrary shape can be explained with the assist of some set of vertices connected with it. While we try to clip the po
B-spline curves are piecewise smooth polynomial curves. B-spline curves are defined over an interval which has been partitioned into sub-intervals. On each subinterval B-sp
Transformation for 3-D Shearing 2-dimensional xy-shearing transformation, as explained in equation, can also be simply extended to 3-dimensional case. All coordinates are tran
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Mathematical description of a Perspective Projection A perspective transformation is found by prescribing a center of projection and a viewing plane. Let here assume that P(x
If the spacing between the knot sequence is uniformly doubled, will the shape of the resulting B-spline curve change? Justify your answer.
Axis of Rotation - Construction of a solid with a translational sweep Figure: (a) Figure (b)
Projections When all display devices are 2D, you need to devise methods that give a realistic view of a 3D scene onto 2D display. With more and more devices coming in the marke
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