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problem 1:

describe in detail an algorithm which returns the minimum distance from a point to a line segment in two dimensions. Make sure that you comprise all of your suppositions and all essential mathematical computations.

problem 2:

Consider the control of detail in a curve which is represented by a series of many straight line segments. describe how Douglas and Pucker's algorithm can be used to eliminate superfluous points. You might use the algorithm from part first.

problem 3:

The quadratic Bezier curve is defined by three points, P1, P2, P3 and a parameter, t:

P(t) = (1-t)2 P1 + 2t (1-t) P2 + t2P3, 0 ≤ t ≤ 1

describe an algorithm which draws the quadratic Bezier curve, by using straight lines only, to within a tolerance. You might use the algorithm from part (a) and you might assume that you already have an algorithm for drawing the straight line.

Computer Graphics, Computer Science

  • Category:- Computer Graphics
  • Reference No.:- M98951

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