Question
Differentiate between Euclidean Coordinate System and Homogeneous Coordinate system. Discuss the advantage of Homogeneous Coordinate system over Euclidean Coordinate System. Assume that a polygon ABCDE has the coordinates A(0, 0), B(10,10), C(10,2),D(5,5),E(7,6) is subjected to the clockwise rotation of 45° about an axis passing through the centroid of the polygon, find the final coordinates of the polygon ABCDE. You should represent the transformation using Homogeneous Coordinate System
Compare Cohen Sutherland and Cyrus beck line clipping algorithms, with suitable example of each. In Cyrus Beck line clipping algorithm, How will you determine whether the point of intersection between line segment and clipping window is Potentially Entering (PE) or Potentially Leaving (PL). Derive the expression for the parameter (t) with respect to ith edge and the line segment PQ (line to be clipped) in the context of Cyber Beck line clipping algorithm.
Random Scan Display Devices and Raster Scan Display Devices
Ray tracing and Ray casting
Bezier Curves. Write the properties of the Bezier curves, prove all properties. Discuss the Parametric Continuities and Geometric Continuities of Bezier Curves, with suitable expressions, equations and examples. Explain the purpose of control points in Bezier, a Cubic Bezier curve has control points P0 (0, 0); P1 (5, 40); P2 (40, 5); P3 (50, 15). Determine 2 more points on the same Bezier curve. Draw a rough sketch of the curve and show coordinates of various points on it?
Scan Line Polygon Fill Algorithm
What are Geometric continuities ? How do Geometric continuities differ from Parametric continuities ? Discuss each type of Geometric continuity and Parametric continuity with suitable diagram.
Windowing Transformations
IGNOU Doubts & Queries
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