Fringe pattern demodulation using the one-dimensional continuous wavelet transform: field-programmable gate array implementation

2013 ◽  
Vol 52 (7) ◽  
pp. 1468 ◽  
Author(s):  
Abdulbasit Abid
Keyword(s):  
Wavelet Transform ◽  
Continuous Wavelet Transform ◽  
Field Programmable Gate Array ◽  
Fringe Pattern ◽  
Continuous Wavelet ◽  
One Dimensional ◽  
Field Programmable ◽  
Gate Array ◽  
The One

Spatial and temporal carrier fringe pattern demodulation using the one-dimensional continuous wavelet transform: Recent progress, challenges, and suggested developments

2009 ◽  
Vol 47 (12) ◽  
pp. 1348-1361 ◽  
Author(s):  
Munther A. Gdeisat ◽  
Abdulbasit Abid ◽  
David R. Burton ◽  
Michael J. Lalor ◽  
Francis Lilley ◽  
...  
Keyword(s):  
Wavelet Transform ◽  
Continuous Wavelet Transform ◽  
Recent Progress ◽  
Fringe Pattern ◽  
Continuous Wavelet ◽  
One Dimensional ◽  
The One

scholarly journals Fringe pattern analysis using a one-dimensional modified Morlet continuous wavelet transform

2008 ◽  
Author(s):  
Abdulbasit Z. Abid ◽  
Munther A. Gdeisat ◽  
David R. Burton ◽  
Michael J. Lalor ◽  
Hussein S. Abdul-Rahman ◽  
...  
Keyword(s):  
Wavelet Transform ◽  
Continuous Wavelet Transform ◽  
Fringe Pattern ◽  
Pattern Analysis ◽  
Continuous Wavelet ◽  
One Dimensional ◽  
Morlet Continuous Wavelet Transform ◽  
Fringe Pattern Analysis

Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform

2006 ◽  
Vol 45 (34) ◽  
pp. 8722 ◽  
Author(s):  
Munther A. Gdeisat ◽  
David R. Burton ◽  
Michael J. Lalor
Keyword(s):  
Wavelet Transform ◽  
Continuous Wavelet Transform ◽  
Fringe Pattern ◽  
Continuous Wavelet ◽  
Two Dimensional

SOLVING THE TWO-DIMENSIONAL INVERSE FRACTAL PROBLEM WITH THE WAVELET TRANSFORM

Fractals ◽  
1996 ◽  
Vol 04 (04) ◽  
pp. 469-475 ◽  
Author(s):  
ZBIGNIEW R. STRUZIK
Keyword(s):  
Wavelet Transform ◽  
Scale Invariance ◽  
Wavelet Decomposition ◽  
Two Dimensions ◽  
The Self ◽  
Continuous Wavelet ◽  
Two Dimensional ◽  
One Dimensional ◽  
Affine Functions ◽  
The One

The methodology of the solution to the inverse fractal problem with the wavelet transform1,2 is extended to two-dimensional self-affine functions. Similar to the one-dimensional case, the two-dimensional wavelet maxima bifurcation representation used is derived from the continuous wavelet decomposition. It possesses translational and scale invariance necessary to reveal the invariance of the self-affine fractal. As many fractals are naturally defined on two-dimensions, this extension constitutes an important step towards solving the related inverse fractal problem for a variety of fractal types.

Detection of Structure Characteristics and Its Discontinuity Based Field Programmable Gate Array Processor in Cancer Cell by Wavelet Transform

2021 ◽  
Vol 11 (12) ◽  
pp. 3066-3081
Author(s):  
P. Arunachalam ◽  
P. Venkatakrishnan ◽  
N. Janakiraman ◽  
S. Sangeetha
Keyword(s):  
Wavelet Transform ◽  
Cancer Cell ◽  
Field Programmable Gate Array ◽  
Blue Color ◽  
Operating Characteristics ◽  
Discontinuity Detection ◽  
Significant Difference ◽  
Shaped Cell ◽  
Field Programmable ◽  
Gate Array

Digital clinical histopathology is one of the crucial techniques for precise cancer cell diagnosing in modern medicine. The Synovial Sarcoma (SS) cancer cell patterns seem to be a spindle shaped cell (SSC) structure and it is very difficult to identify the exact oval shaped cell structure through pathologist’s eye perception. Meanwhile, there is necessitating for monitoring and securing the successful and effective image data processing in the the huge network data which is also a complex one. A field programmable Gate Array (FPGA) was regarded as a necessary one for this. In this work, based on FPGA a Cancer Cell classification is made for the regulation and execution. Hence, mathematically the SSC regularity structures and its discontinuities are measured by the holder exponent (HE) function. In this research work, HE values have been determined by Wavelet Transform Modulus Maxima (WTMM) and Wavelet Leader (WL) methods with basis function of Haar wavelet based on FPGA Processor. The quantitative parameters such as Mean of Asymptotic Discontinuity (MAD), Mean of Removable Discontinuity (MRD) and Number of Discontinuity Points (NDPs) have been considered to determine the prediction of discontinuity detection between WTMM and WL methods. With the help of receiver operating characteristics (ROC) curve, the significant difference of discontinuity detection performance between both the methods has been analyzed. From the experimental results, it is clear that the WL method is more practically feasible and it gives satisfactory performance, in terms of sensitivity and specificity percentage values, which are 80.56% and 59.46%, respectively in the blue color components of the SNR 20 dB noise image.

scholarly journals Detection of Delamination in Laminate Wind Turbine Blades Using One-Dimensional Wavelet Analysis of Modal Responses

2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Łukasz Doliński ◽  
Marek Krawczuk ◽  
Arkadiusz Żak
Keyword(s):  
Wavelet Transform ◽  
Wind Turbine ◽  
Continuous Wavelet Transform ◽  
Laser Scanning ◽  
Turbine Blades ◽  
Diagnostic Technique ◽  
Experimental Investigations ◽  
Continuous Wavelet ◽  
Wind Turbine Blades ◽  
One Dimensional

This paper demonstrates the effectiveness of a nondestructive diagnostic technique used to determine the location and size of delamination in laminated coatings of wind turbine blades. This is realized based on results of numerical and experimental investigations obtained by the use of the finite element method (FEM) and laser scanning vibrometry (LSV). The proposed method is based on the one-dimensional continuous wavelet transform of vibration parameters of a wind turbine blade. The investigations were conducted for a 1 : 10 scaled-down blade of a 36 m rotor wind turbine. Glass fibres and epoxy resin were used as laminate components. For numerical studies, a simple delamination model was proposed. The results obtained by the authors were used to determine the optimal set of parameters of the continuous wavelet transform. The application of high-quality LSV for experimental measurements allowed determining the optimal conditions of measuring procedures. At the same time the capabilities and limitations, resulting from the nature of the measurement method, were identified. In order to maximize the effectiveness of the detection method, preliminary signal processing was performed. Beside base wavelets also different waveform families were tested. The results obtained by the authors showed that it is possible to identify and localize even relatively small damage.

The wavelet transform on spaces of type S

2006 ◽  
Vol 136 (4) ◽  
pp. 837-850 ◽  
Author(s):  
R. S. Pathak ◽  
S. K. Singh
Keyword(s):  
Wavelet Transform ◽  
Continuous Wavelet Transform ◽  
Wavelet Transforms ◽  
The Other ◽  
Continuous Wavelet ◽  
Continuous Linear ◽  
Ultradifferentiable Functions ◽  
Linear Map ◽  
The One

The continuous wavelet transform is studied on certain Gel'fand–Shilov spaces of type S. It is shown that, for wavelets belonging to the one type of S-space defined on R, the wavelet transform is a continuous linear map of the other type of the S-space into a space of the same type (latter type) defined on R × R+. The wavelet transforms of certain ultradifferentiable functions are also investigated.

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