Transcription of Questions on Assignment 1? - Computer graphics
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Questions on Assignment 1? - Computer graphics
1 Announcements Is your account working yet? Watch out for ^M and missing newlines Assignment 1 is due next Thursday at midnight Check the webpage and newsgroup for answers to Questions about the Assignment Questions on Assignment 1?TransformationsVectors, bases, and matricesTranslation, rotation, scaling Postscript ExamplesHomogeneous coordinates3D transformations3D rotationsTransforming normalsNonlinear deformationsVectors, bases, and matricesTranslation, rotation, scaling Postscript ExamplesHomogeneous coordinates3D transformations3D rotationsTransforming normalsNonlinear deformationsAngel, Chapter 42 Uses of Transformations Modeling transformations build complex models by positioning simple components transform from object coordinates to world coordinates Viewing transformations placing the virtual camera in the world specifying transformation from world coordinates to camera coordinates Animation vary transformations over time to create motionWORLDOBJECTCAMERAG eneral TransformationsQ = T(P)for pointsV = R(u)
6 Linear and Affine Maps • A function (or map, or transformation) F is linear if for all vectors A and B, and all scalars k. • Any linear map is completely specified by its effect on a set of basis
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