Property of Many-Phonon Norm Matrix

Efficient many-to-many feature matching under the l1 norm

Please cite this article in press as: M.F. Demirci e doi:10.1016/j.cviu.2010.12.012 Matching configurations of image features, represented as attributed graphs, to configurations of model features is an important component in many object recognition algorithms. Noisy segmentation of images and imprecise feature detection may lead to graphs that represent visually similar configurations that do ...

The ¿-norm Extension Property for Banach Spaces1

Estimating the matrix p-norm

The H61der p-norm of an m • n matrix has no explicit representation unless p = 1, 2 or ~ . It is shown here that the p-norm can be estimated reliably in O(mn) operations. A generalization of the power method is used, with a starting vector determined by a technique with a condition est imation flavour. The algor i thm nearly always computes a p-norm estimate correct to the specified accuracy, a...

Edge Detection with Hessian Matrix Property Based on Wavelet Transform

In this paper, we present an edge detection method based on wavelet transform and Hessian matrix of image at each pixel. Many methods which based on wavelet transform, use wavelet transform to approximate the gradient of image and detect edges by searching the modulus maximum of gradient vectors. In our scheme, we use wavelet transform to approximate Hessian matrix of image at each pixel, too. ...

Operator-valued extensions of matrix-norm inequalities

The bilinear inequality is derived from the linear one with the help of an operatorvalued version of the Cauchy-Schwarz inequality. All these results, at least in their finite form, are obtained by simple and elegant methods well within the scope of a basic course on Hilbert spaces. (They can alternatively be obtained by tensor product techniques, but in the author’s view, these methods are les...