lec2 - Transformations Computer Graphics Lecture 2 Using...

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Transformations Computer Graphics Lecture 2
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Using Transformations One arc designed. The scene is drawn by placing copies of instances. In 3D many cubes makes a city
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Using transformations (cont) The snowflake exhibits symmetries. We design a single motif and draw the whole shape using appropriate reflections, rotations, and translations of the motif. use it 12 times
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Using transformations (cont) A designer may want to view an object from different vantage points. Positioning and reorienting a camera can be carried out through the use of 3D affine transformations.
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Geometric Transformations Transformation is one-to-one and onto mapping of to itself Affine transformation (V)=AV+b A - matrix b – scalar In CG Geometric Transformations are, for the most part, affine transformations with geometric meaning n R
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Geometric Transformations (cont) Transforming an object = transforming all its points Note: transformation has meaning only for vectors => for point P, is a transformation of a vector from the origin to P ) ( P
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Applications Viewing Modeling Animation Image Manipulation
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A translation is applied to an object by repositioning it along a straight-line path from one coordinate location to another. T
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lec2 - Transformations Computer Graphics Lecture 2 Using...

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