 
Summary: III. 2d elastic models image
matching
III.1 Introduction
ffl In images of an object class there is much more information than shape of con
tour. Images of object class exhibit many topological and geometric similarities
which are ignored when the contour alone is computed.
ffl Variations between images are often smooth elastic.
With some pulling, stretching and squeezing take one image from the class
and transform it into another.
ffl Z = R The set Z is the entire reference grid.
\Theta smooth onetoone mappings of R into L.
T (z); z 2 R template image of the object: typically one random image of the
family of images.
ffl Initial ` given in particular scale and translation.
ffl Model I(x) for x only around `R. No background modeling.
Any image of the object is generated as
I(`(z)) = T (z) +N(z); z 2 R; (III.1)
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