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Computational Geometry

1628

New

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

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Rs.162

Rs.180

-10%

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

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