geometry.slides.printing.6

geometry.slides.printing.6 - Geometric Operations CS 450...

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CS 450: Introduction to Digital Signal and Image Processing Geometric Operations Geometric Operations Transformations (Shift, Rotation, etc.) • Resizing Adding/Correcting a Warp Texture Mapping • Morphing Example: Texture Mapping Mapping an image onto the surface of a geometric object Provides increased realism Example: Morphing Warp a pair of images based on corresponding points Combination of warp/cross-dissolve Transformations It all starts with the transformation What do you want to go where? Kinds of transformations: – Simple: Translation, Rotation, Scale (or combinations) Affine (6 parameter) Perspective (8 parameter) Arbitrary meshes B [ r ( x , y ), s ( x , y )] = A [ x , y ] A B Forward Mapping • Let x’ = r(x,y) and y’ = s(x,y) be a mapping from location (x,y) to (x’,y’).
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Forward Mapping - Problems Doesn’t always map to pixel locations Solution: spread out effect of each pixel A B A B ?
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