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Introduction to Transformationjrshyree4ytszs.pptx
1. Introduction to
Transformations
Transformations in computer graphics are operations that change the
position, size, or orientation of objects. They are essential for creating
animations and visual effects.
2. Translation
• Translation is the process of moving objects from one position to
another in a straight line without rotating or scaling them. It involves
shifting every point of the object by a certain distance in a specified
direction.
3. Example of Translation
• For example, if we have a square at position (x, y) and we want to
move it to (x+dx, y+dy), where dx and dy are the distances to move in
the x and y directions respectively, we perform translation.
4. Rotation
• Rotation is the process of turning an object around a fixed point
called the center of rotation. It involves changing the angles of all
points of the object by the same amount.
5. Example of Rotation
• For example, if we have a line segment AB and we want to rotate it by
an angle ? around point A, we can calculate the new position of point
B using trigonometric functions.
6. Scaling
• Scaling is the process of resizing an object. It involves multiplying the
coordinates of all points of the object by a scaling factor to increase
or decrease its size.
7. Example of Scaling
• For example, if we have a circle with radius r and we want to double
its size, we multiply the radius by 2 to get the new radius 2r.
8. Combining Transformations
• Multiple transformations can be combined to achieve complex
effects. For example, we can translate an object, then rotate it, and
finally scale it.
9. Applications of Transformations
• Transformations are used extensively in computer graphics and
animation to create realistic movements, effects, and simulations.
They are fundamental for rendering 2D and 3D graphics.
10. Conclusion
• Understanding basic transformations and translations is essential for
anyone working in computer graphics and animation. They form the
building blocks for creating engaging visual experiences.
