scholarly journals Orthonormalized basic of fractal stepped multiwavelets – a new multiwavelet technology for signal and image processing

2021 ◽  
pp. 91-95
Author(s):  
Lev Hnativ
Keyword(s):  
Image Processing ◽  
Computational Complexity ◽  
Classical Method ◽  
Multiplicative Complexity ◽  
New Class ◽  
Step Functions ◽  
Multiwavelet Transform ◽  
Additive Complexity ◽  
Linear And Nonlinear ◽  
Discrete Multiwavelet Transform

A new class of fractal step functions with linear and nonlinear changes in values is described, and on their basis a recurrent method for constructing functions of a new class of fractal step multiwavelets (FSMW) of various shapes with linear and nonlinear changes in values is developed. A method and an algorithm for constructing a whole family of basic FSMW systems have been developed. An algorithm for calculating the coefficients of a discrete multiwavelet transform based on a multiwavelet packet without performing convolution and decimated sampling operations, in contrast to the classical method, is presented. A method and algorithm for fast multiwavelet transform of low computational complexity has been developed, which, in comparison with the well-known classical Mall's algorithm, is 70 times less in multiplicative complexity, and 20 times less in additive complexity.

Generalized Discrete Multiwavelet Transform With Embedded Orthogonal Symmetric Prefilter Bank

2007 ◽  
Vol 55 (12) ◽  
pp. 5619-5629 ◽  
Author(s):  
Tai-Chiu Hsung ◽  
D.P.-K. Lun ◽  
Yu-Hing Shum ◽  
K.C. Ho
Keyword(s):  
Multiwavelet Transform ◽  
Discrete Multiwavelet Transform

scholarly journals Banks of filters for implementation of DMWT of an image

2019 ◽  
Vol 70 (6) ◽  
pp. 429-442
Author(s):  
Ondrej Kováč ◽  
Ján Mihalík
Keyword(s):  
Filter Banks ◽  
Multiwavelet Transform ◽  
Discrete Multiwavelet Transform ◽  
Is Design

Abstract We describee some possible options for implementation of the Discrete multiwavelet transform (DMWT) of an image by using filter banks. DMWT can be implemented by two channel bank of vector filters which are made by cross-connected scalar filters. The properties of DGHM, CL, BiHermite and SA4 multiwavelets are here analyzed, and compression analysis for output normalization of DMWT is performed. A procedure is design of equivalent replacing of 2 channel multifilters bank by 4 channel bank of single scalar filters. Finally, we deal with a possible reduction and combinations of subbands and suggest their use.

Generator of formats of group telemetry signal for measurement systems with a software-controlled method of data collection

2021 ◽  
pp. 58-68
Author(s):  
А.П. Мороз ◽  
Г.Е. Полехина ◽  
А.И. Полехин
Keyword(s):  
Computational Complexity ◽  
Data Collection ◽  
Current Phase ◽  
Minimum Volume ◽  
Measurement Systems ◽  
New Class

Предложен и обоснован алгоритм работы генератора форматов (ГФ) кадра для систем программируемой телеметрии. Алгоритм относится к новому классу алгоритмов, использующих принцип текущей фазы, отличается уменьшенной сложностью вычислений и минимальным объемом программ измерений (ПИ), что упрощает задачу подготовки ПИ и уменьшает объем памяти для их хранения. An algorithm for the operation of a frame format (GF) generator for programmable telemetry systems is proposed and substantiated. The algorithm belongs to a new class of algorithms using the principle of the current phase, it is distinguished by a reduced computational complexity and a minimum volume of measurement programs (PI), which simplifies the task of preparing PI and reduces the amount of memory for their storage.

MESH ALGORITHMS FOR FINDING REPETITIONS AND PARTIAL SYMMETRIES IN ARRAYS

1994 ◽  
Vol 08 (02) ◽  
pp. 465-483
Author(s):  
STEVEN L. TANIMOTO ◽  
RUSS MILLER
Keyword(s):  
Image Processing ◽  
Computational Complexity ◽  
Computer Architecture ◽  
Parallel Computation ◽  
Visual Analysis ◽  
Image Filtering ◽  
Two Dimensional ◽  
Pixel Value ◽  
Morphological Transformations ◽  
Repeated Block

The two-dimensional mesh computer architecture has proven to be an appropriate means to apply parallel computation to problems in image processing. However, this is most often done using local-neighbourhood operations to accomplish image filtering and morphological transformations. The discovery of structures in an image such as repetitions and symmetries is another form of visual analysis, and yet relatively little has been done to apply mesh computers to this problem. In this paper, we apply the primitive operations of prefix scanning and sorting to efficiently implement a repetition finding algorithm for arrays. The computational complexity of the algorithm on a n×n mesh is O(n log k) where k is the width of the largest repeated block in the array. The algorithm was implemented on a MasPar MP-1 computer. We describe variations of the algorithm for solving several related problems including the detection of partial symmetries in an image and repetitions in images modulo pixel-value transformations.

Detecting Edge Using Support Vector Machine

2012 ◽  
Vol 588-589 ◽  
pp. 974-977 ◽  
Author(s):  
Jih Pin Yeh
Keyword(s):  
Image Processing ◽  
Support Vector Machine ◽  
Edge Detection ◽  
Supervised Learning ◽  
Classical Method ◽  
Support Vector ◽  
Learning Method ◽  
Edge Detector

The edge detection is used in many applications in image processing. It is currently crucial technique of image processing. There are various methods for promoting edge detection. Here, it is presented that edge detection can be achieved using Support Vector Machine (SVM). Supervised learning method is applied. Laplacian edge detector is an instructor of Support Vector Machine. In this research, it is presented that any classical method can be applied for training of SVM as edge detector.

Systems Stability Using Weight Functions Method

2005 ◽  
Author(s):  
Ion Stroe ◽  
Dumitru I. Caruntu
Keyword(s):  
Classical Method ◽  
Liapunov Function ◽  
Weight Functions ◽  
Solution Stability ◽  
First Order ◽  
Controlled Systems ◽  
Linear And Nonlinear ◽  
Function Finding ◽  
Linear And Nonlinear Systems ◽  
First Order Differential Equations

A new method for systems stability analysis is presented. This method is called weight functions method and it replaces the problem of Liapunov function finding with a problem of finding a number of functions (weight functions) equal to the number of first order differential equations describing the system. It is known that there are not general methods for finding Liapunov functions. The weight functions method is simpler than the classical method since one function at a time has to found. This method’s conditions of solution stability for linear and nonlinear systems are presented. Applications such as Lurie-Postnikov problem and controlled systems stability are presented as well.

scholarly journals New Brodatz-Based Image Databases for Grayscale Color and Multiband Texture Analysis

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Safia Abdelmounaime ◽  
He Dong-Chen
Keyword(s):  
Image Processing ◽  
Texture Analysis ◽  
Image Databases ◽  
Spectral Information ◽  
Spectral Content ◽  
New Class ◽  
Texture Information ◽  
Basic Image ◽  
Informative Content ◽  
Texture Characterization

Grayscale and color textures can have spectral informative content. This spectral information coexists with the grayscale or chromatic spatial pattern that characterizes the texture. This informative and nontextural spectral content can be a source of confusion for rigorous evaluations of the intrinsic textural performance of texture methods. In this paper, we used basic image processing tools to develop a new class of textures in which texture information is the only source of discrimination. Spectral information in this new class of textures contributes only to form texture. The textures are grouped into two databases. The first is the Normalized Brodatz Texture database (NBT) which is a collection of grayscale images. The second is the Multiband Texture (MBT) database which is a collection of color texture images. Thus, this new class of textures is ideal for rigorous comparisons between texture analysis methods based only on their intrinsic performance on texture characterization.

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