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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.