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.Overall Scaling

16.Points at Infinity 

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 and Space Curves

1. Introduction

2. Curve Representation

3. Non-Parametric Curves

4. Parametric Curves

5. Parametric Representation of Circle

6. Space Curves

7. Be’zier Curves