Homogeneous co-ordinate system


Q1. What do you mean by rigid body transformation? Describe how it is distinct from the affine transformation.

Q2. Define the homogeneous co-ordinate system and points at infinity. Write down the parametric equation of line defined between points (2, 4) and (6, -7). Can it be written in the homogeneous co-ordinate system?

Q3. Find out the new point obtained if a point (3, 6) is translated with tx = −3 and ty = 7. Write down the transformation matrix for same.

Q4. Illustrate the difference between the parallel and perspective projection? Give appropriate illustration to elucidate your answer.

Q5. Frame buffer is needed in the graphics rendering. Illustrate the frame buffer and rendering method?

Q6. Define the knot vector and describe the concept used to define the Bezier curve. Calculate the coefficients of Bezier curve in the interval [1, 3].

Q7. In brief describe Bresenham circle generation with an appropriate illustration.

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Computer Graphics: Homogeneous co-ordinate system
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