WAVELET BASED NONLINEAR SEPARATION OF IMAGES

This work addresses a real-life problem corresponding to the separation of the nonlinear mixture of images which arises when we scan a paper document and the image from the back page shows through. The proposed solution consists of a non-iterative procedure that is based on two simple observations: (1) the high frequency content of images is sparse, and (2) the image printed on each side of the paper appears more strongly in the mixture acquired from that side than in the mixture acquired from the opposite side. These ideas had already been used in the context of nonlinear denoising source separation (DSS). However, in that method the degree of separation achieved by applying these ideas was relatively weak, and the separation had to be improved by iterating within the DSS scheme. In this paper the application of these ideas is improved by changing the competition function and the wavelet transform that is used. These improvements allow us to achieve a good separation in one shot, without the need to integrate the process into an iterative DSS scheme. The resulting separation process is both nonlinear and non-local. We present experimental results that show that the method achieves a good separation quality

Regional differences in intelligence and per capita income in Portugal

Regional differences in IQ and per capita incomes are presented for five regions of Portugal: North, North Central, Lisbon-Central, Lisbon-Suburb, and South. Regional IQs were calculated from a representative sample of 4548 Portuguese school students from 5th to 12th grades. The average IQ and average incomes are highest in Central Lisbon. The results show a positive association between IQs and average regional incomes, as it has been observed in other countries

On a generalization of Valiron's inequality for k-hypermonogenic functions on upper half-space

We present some results on the asymptotic growth behavior of periodic k-hypermonogenic functions on upper half-space. A generalization of the classical Valiron inequality for this class of functions and some basic properties are discussed