منابع مشابه
Classical Orthogonal Polynomials as Moments
We show that the Meixner, Pollaczek, Meixner-Pollaczek and Al-Salam-Chihara polynomials, in certain normalization, are moments of probability measures. We use this fact to derive bilinear and multilinear generating functions for some of these polynomials. We also comment on the corresponding formulas for the Charlier, Hermite and Laguerre polynomials. Running Title: Generating Functions
متن کاملMore Orthogonal Polynomials as Moments
An overview is given for classical orthogonal polynomials as moments for other classical orthogonal polynomials. Some combinatorial explanations and open problems are discussed.
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This paper proposes a novel full-reference quality assessment (QA) metric that automatically assesses the quality of an image in the discrete orthogonal moments domain. This metric is constructed by representing the spatial information of an image using low order moments. The computation, up to fourth order moments, is performed on each individual ð8 8Þ non-overlapping block for both the test a...
متن کاملImage Analysis by Discrete Orthogonal Hahn Moments
Orthogonal moments are recognized as useful tools for object representation and image analysis. It has been shown that the recently developed discrete orthogonal moments have better performance than the conventional continuous orthogonal moments. In this paper, a new set of discrete orthogonal polynomials, namely Hahn polynomials, are introduced. The related Hahn moment functions defined on thi...
متن کاملFace Recognition Using Discrete Orthogonal Hahn Moments
One of the most critical decision points in the design of a face recognition system is the choice of an appropriate face representation. Effective feature descriptors are expected to convey sufficient, invariant and non-redundant facial information. In this work we propose a set of Hahn moments as a new approach for feature description. Hahn moments have been widely used in image analysis due t...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1991
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181073011