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Computational Geometry
Specific References
According to New Revised Syllabus w.e.f. 2015 PUNE, Maharashtra (INDIA)
Computational Geometry
SY BSc Computers (Semester-II)
Author : Parshuram Ahire, Shilpkala Jagtap
Book ID : 1628
ISBN : 978-93-5016-293-4
CONTENTS
1. Two Dimensional Transformations
1. Introduction
2. Representation of Points
3. Transformation and Matrices
4. Transformation of Points (Scaling, Reflection & Shearing)
5. Rotation (about the Origin)
6. Transformation of Straight Line
7. Midpoint Transformation
8. Transformation of Parallel Lines
9. Transformation of Intersecting Lines
10. Transformation and Area of Plane Figure
11. Solid Body Transformations
12. Homogeneous Co-ordinates and Translation
13. Rotation about an Arbitrary Point
14. Reflection through an Arbitrary Line
15 Projection – a Geometric Interpretation of Homogeneous Co-ordinates
16. Overall Scaling
17. Points at Infinity
Solved Examples
2. Three Dimensional Transformations
1. Introduction
2. Three Dimensional Rotation
3. Multiple Transformations
4. Reflections through Co-ordinate Planes
5. Reflection through an Arbitrary Plane
3. Projections
1. Introduction
2. Affine and Perspective Geometry
3. Orthographic Projection
4. Axonometric Projections
5. Oblique Projections
6. Perspective Projection
7. Vanishing Points
4. Plane Curves
1. Introduction
2. Curve Representation
3. Non-Parametric Curves
4. Parametric Curves
5. Parametric Representation of Circle
6. Parametric Representation of Ellipse
7. Parametric Representation of a Parabola and Generation of Parabola
8. Parametric Representation of a Hyperbola
5. Space Curves
1. Introduction
2. Be’zier Curves