3,650 research outputs found
PIH95 Predictions for Medical Subsidy Enrollment Among Young Children From High-Risk Families in Taipei
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Wavelets and Imaging Informatics: A Review of the Literature
AbstractModern medicine is a field that has been revolutionized by the emergence of computer and imaging technology. It is increasingly difficult, however, to manage the ever-growing enormous amount of medical imaging information available in digital formats. Numerous techniques have been developed to make the imaging information more easily accessible and to perform analysis automatically. Among these techniques, wavelet transforms have proven prominently useful not only for biomedical imaging but also for signal and image processing in general. Wavelet transforms decompose a signal into frequency bands, the width of which are determined by a dyadic scheme. This particular way of dividing frequency bands matches the statistical properties of most images very well. During the past decade, there has been active research in applying wavelets to various aspects of imaging informatics, including compression, enhancements, analysis, classification, and retrieval. This review represents a survey of the most significant practical and theoretical advances in the field of wavelet-based imaging informatics
Generic Hecke algebra for Renner monoids
AbstractTo each Renner monoid R we associate a generic Hecke algebra H(R) over Z[q] which is a deformation of the monoid Z-algebra of R. If M is a finite reductive monoid with Borel subgroup B and associated Renner monoid R, then we obtain the associated Iwahori–Hecke algebra H(M,B) by specialising q in H(R) and tensoring by C over Z, as in the classical case of finite reductive groups
Asymptotic spectral properties of totally symmetric multilevel Toeplitz matrices
AbstractLet n=(n1,…,nk) be a multiindex and κ(n̲)=∏j=1knj. We say that n→∞ if ni→∞, 1⩽i⩽k. If r=(r1,…,rk) and s=(s1,…,sk), let ∣r−s∣=(∣r1−s1∣,…,∣s1−sk∣). We say that a multilevel Toeplitz matrix of the form Tn̲=[t|r̲-s̲|]r̲,s̲=1̲∞̲ is totally symmetric. Let Qk be the k-fold Cartesian product of Q=[−π,π] with itself, and let {tr̲}r̲=-∞̲∞̲ be the Fourier coefficients of a function f=f(θ1,…,θk) in L2(Qk) that is even in each variable θ1,…,θk, so that Tn is totally symmetric for every n. We associate the multiindex n with 2k multiindices m(n,p), 0⩽p⩽2k−1, such that limn→∞κ(m (n,p))/κ(n)=2−k, 0⩽p⩽2k−1, and ∑p=02k-1κ(m̲(n̲,p)=κ(n̲), and show that the singular values of Tn separate naturally into 2k sets Sn̲,0,…,Sn̲,2k-1 with cardinalities κ(m(n,0)),…,κ(m(n,2k−1)) such that the singular values in each set Sn̲,p are associated with singular vectors exhibiting a particular type of symmetry. Our main result is that the singular values in Sn̲,p and the singular values of Tm(n,p) are absolutely equally distributed with respect to the class G of functions bounded and uniformly continuous on R as n→∞, 0⩽p⩽2k−1. If f is real-valued, then an analogous result holds for the eigenvalues and eigenvectors of Tn
Second International Workshop on MBE
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