Introduction to Transformationjrshyree4ytszs.pptx

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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.