04-Space (axis) transformations

04-Space (axis) transformations - Space(axis...

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Space (axis) transformations
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What have we seen so far? • Basic representations (point, vector) • Basic operations on points and vectors (dot product, cross products, etc.) • Transformation – manipulative operators on the basic representation (translate, rotate, deformations) – 4x4 matrices to “encode” all these.
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Why do we need this? • In order to generate a picture from a model, we need to be able to not only specify a model (representation) but also manipulate the model in order to create more interesting images.
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Overview • The next set of slides will deal with the other half of the process (at least in a simplistic fashion) • From a model, how do we generate an image Model Image computer
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Accumulation of Transformations base T ) ( ) ( ) ( ) ( ) ( φ θ R R T R M M R T R M M T M base arm hand base base arm base base = = = = = base arm hand Example: Robot arm
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! Object coordinates ! World coordinates ! Camera coordinates
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This note was uploaded on 09/27/2010 for the course CSCI 480 taught by Professor Sathyanaraya during the Spring '08 term at USC.

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04-Space (axis) transformations - Space(axis...

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