Statistical Shape Analysis - Shape Deformation

Shape Deformation

In physics, deformation is a change of a shape due to an applied force. Investigating shape deformation can reveal the transformation between two similar shapes and give information about local and global shape differences. Mathematically, a deformation is defined as a mapping from a shape t to y by a transformation function Φ, i.e. .(See Definition 10.2 of I.L. Dryden and K.V. Mardia (1998). Statistical Shape Analysis. John Wiley & Sons. ISBN 0-471-95816-6. )

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Famous quotes containing the word shape:

    There are men from whom nature or some peculiar destiny has removed the cover beneath which we hide our own madness. They are like thin-skinned insects whose visible play of muscles seem to make them deformed, though in fact, everything soon turns to its normal shape again.
    —E.T.A.W. (Ernst Theodor Amadeus Wilhelm)