We describe a generalized scale-redundant wavelet transform which approximates a dense sampling of the continuous wavelet transform (CWT) in both time and scale. The dyadic scaling requirement of the usual wavelet transform is relaxed in favor of an approximate scaling relationship which in the case of a Gaussian scaling function is known to be asymptotically exact and irrational. This scheme y...

In an effort to extend the classical lagrangian interpolation tools, new interpolating methods that use general interpolating functions are explored. The Generalized Empirical Interpolation Method (GEIM) belongs to this class of new techniques. It generalizes the plain Empirical Interpolation Method [1] by replacing the evaluation at interpolating points by application of a class of interpolati...

Image scaling is the process of resizing a digital image, wherein an image is converted from one resolution/dimension to another resolution/dimension without losing the visual content. It has many terminologies in literature such as Image Interpolation, image re-sampling, digital zooming, image magnification or enhancement, etc [1] [2]. Image interpolation algorithms can be grouped in two categ...

A non-adaptive image interpolation algorithm is proposed to scale images for any given scaling factor with an enhancement scheme to ensure a better picture. |In the proposed algorithm, two reference frames, one with higher resolution and another with lower resolution are generated using an original videoframefor the User defined scaling factor. Later, two Intermediate frames are generated from ...

In this paper we introduce an algorithm for the construction of compactly supported interpolating scaling vectors on Rd with certain symmetry properties. In addition, we give an explicit construction method for corresponding symmetric dual scaling vectors and multiwavelets. As the main ingredients of our recipe we derive some implementable conditions for accuracy, symmetry, and biorthogonality ...

abstract scaling methods, which are based on similar media theory, are used to simplify the statistic description of soil spatial variations. to simulate the water flow in heterogeneous soils, simultaneous scaling of soil hydraulic functions, including soil water retention and unsaturated hydraulic conductivity functions, is highly desirable. in the similar media theory, the simultaneous scalin...