Two variational formulas for the power of the binary hypothesis testing problem are derived. The first is given as the Legendre transform of a certain function and the second, induced from the first, is given in terms of the Cumulative Distribution Function (CDF) of the log-likelihood ratio. One application of the first formula is an upper bound on the power of the binary hypothesis testing pro...

The recognition of human faces, especially those with different orientations is a challenging and important problem in image analysis and classification. This paper proposes an effective scheme for rotation invariant face recognition using Log-Polar Transform and Discrete Cosine Transform combined features. The rotation invariant feature extraction for a given face image involves applying the l...

The Euclidean distance transform (EDT) converts a binary image into one where each pixel has a value equal to its distance to the nearest foreground pixel. Two parallel algorithms for EDT on linear array with reconfigurable pipeline bus system (LARPBS) are presented. For an image with n × n pixels, the first algorithm can complete EDT in O [(log n log log n)/(log log log n)] time using n2 proce...

Foveated, log-polar, or space-variant image architectures provide a high resolution and wide eld workspace, while providing a small pixel computation load. These characteristics are ideal for mobile robotic and active vision applications. A common problem in these application areas is image blur and motion artifact. Recently, there has been described a generalization of the Fourier Transform (t...

This paper presents a new fast discrete focal stack transform that can be used in the 3D depth recovery problem using a single image of a scene from a plenoptic camera. A plenoptic camera uses a microlens array between the lens of the camera and the image sensor to measure the radiance and direction of all the light rays in a scene. The microlens array creates many small images taken from sligh...

In this paper, a two-stage dual tree complex wavelet packet transform (DTCWPT) based speech enhancement algorithm has been proposed, in which a speech presence probability (SPP) estimator and a generalized minimum mean squared error (MMSE) estimator are developed. To overcome the drawback of signal distortions caused by down sampling of wavelet packet transform (WPT), a two-stage analytic decom...

We show that the Laplace approximation of a supremum by L-norms has interesting consequences in optimization. For instance, the logarithmic barrier functions (LBF) of a primal convex problem P and its dual P∗ appear naturally when using this simple approximation technique for the value function g of P or its Legendre-Fenchel conjugate g∗. In addition, minimizing the LBF of the dual P∗ is just e...