Image analysis – Image transformation or preprocessing – Measuring image properties
Patent
1997-06-09
2000-10-03
Johns, Andrew W.
Image analysis
Image transformation or preprocessing
Measuring image properties
382282, G06F 936
Patent
active
061284173
ABSTRACT:
The method determines how transformations in a piecewise-polynomial image model affect the model's fidelity. Up to third order two-dimensional polynomials are supported. The fidelity measure is the total squared error between model predictions and pixel values. The transformations supported are merging two domains, adding a single pixel or a group of pixels to a domain, removing a single pixel or a group of pixels from a domain, and altering the intensity value of a sample or group of samples from a surface over a domain. Details are disclosed for applying the method to 256 level images up to 640.times.480 pixels in size. Also disclosed is a procedure for efficiently performing coordinate transformations on two-dimensional moment vectors that extends the method to arbitrarily sized images. A disclosed procedure for efficiently converting a domain's moment vector to a least squares polynomial coefficient vector and automatically zeroing unsupported coefficients makes the method useful for freeform domains. The conversion procedure is an extension of the Cholesky factorization for symmetric positive definite systems to semidefinite systems.
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Desire Gregory
Johns Andrew W.
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