Instrumentation & Measurement Magazine 24-4 - 37

Principal
Component
Analysis
Fig. 1. 2D-DDWT decomposition.
The double-density advanced DWT depends on two scaling
mechanisms and four separate wavelets, each of which is precisely
constructed in a such a way that the two wavelets of
the main combination are split by one half from one substitute,
and hence, the alternate combination of wavelets kind
associates estimated level Hilbert transform combination.
The double-density advanced DWT exhibits enhanced spatial
properties by allowing use of these two properties, and
intermediate and spatial wavelet transition can be applied
in several directions [26]. Using a 3-level 2D-DDWTwith an
8-tab filter from a Daubechie, the image I of size M delimit
N is converted into the wavelet domain to build a size n x n
W decomposition. The original image is decomposed into all
parameters.
In this research, the quantitative filter bank is composed
of three filters. Nine subbands, namely one low pass channel
and eight high pass channels, are obtained subsequent to decomposition.
This process could be repeated on the matrix LL
three times for the maximum sum of parameters, in which the
decomposition is always identical to the initial source parameter
N. In seventeen sub-bands, there are one low pass channel
and fifteen high pass channels, and they have the only LL part
value added to the next decomposition level since completing
second point. Using a synthesizing filter lines, Inverse Double
Density Wavelet Transform (IDDWT) is introduced. The
synthesis filter bank is made up of three diffusion filters, a low
pass channel and two high pass channels which is reverse measurement
process. In this process, the very same number of
computing rates are used for obtaining the usually represented
image to be kept in the IDDWT step.
June 2021
Principal Component
Analysis (PCA) is a very
important and powerful
statistical technique.
It reduces dimensionality
of a vector image while
maintaining information
as much as possible.
PCA is mathematically an
orthogonal linear transformation
which transforms
the information to a new
coordinate system such
that the greatest variance
through some projection
of the information involves
to be laying on the first coordinate
which is being
called as the first principal
component, then the
second greatest variance
on the second coordinate,
and so on. The fusion algorithm
involves the following process. The column vectors
from the input images are being generated which contributes
to the calculation of the covariance matrix of the column vectors.
Moreover, by the computation of eigen vectors as well as
the eigen values, the normalized column vector is being calculated
which corresponds to the greater eigen value by dividing
each element by eigen vector mean [27]. These correspond to
the Principal components that becomes the weight values for
fusion.
Proposed Methodology
A novel wavelet-based technique called 2-Dimensional Double
Density Wavelet Transform (2D-DDWT) is introduced that
is not only considers the features of the human visual system
but also spatial parameters of wavelet. Later, the transformation
of the two-dimensional double density decomposes the
medical images to also be combined, and separate fusion strategies
are introduced to merge the parameters.
The source image is added to 2D-DDWT by fusing low
frequency components and high frequency components decomposed
by transformation methodology. Using the phase
mathematical law, the low frequency data is subjected to fusion,
which represents the approximation data of the source
image. The low frequency coefficients are being fused using the
congruence rule of phase and the high frequency coefficients
are being fused by using gabor filter. The 2D-DDWT frequency
parameters become fused by the implementation of Principle
Component Analysis (PCA) for estimation parameters and the
maximal collection rule is applied for other parameters to enhance
the fused image consistency. Consequently, all of the
IEEE Instrumentation & Measurement Magazine
37

Instrumentation & Measurement Magazine 24-4

Table of Contents for the Digital Edition of Instrumentation & Measurement Magazine 24-4

No label
Instrumentation & Measurement Magazine 24-4 - No label
Instrumentation & Measurement Magazine 24-4 - Cover2
Instrumentation & Measurement Magazine 24-4 - 1
Instrumentation & Measurement Magazine 24-4 - 2
Instrumentation & Measurement Magazine 24-4 - 3
Instrumentation & Measurement Magazine 24-4 - 4
Instrumentation & Measurement Magazine 24-4 - 5
Instrumentation & Measurement Magazine 24-4 - 6
Instrumentation & Measurement Magazine 24-4 - 7
Instrumentation & Measurement Magazine 24-4 - 8
Instrumentation & Measurement Magazine 24-4 - 9
Instrumentation & Measurement Magazine 24-4 - 10
Instrumentation & Measurement Magazine 24-4 - 11
Instrumentation & Measurement Magazine 24-4 - 12
Instrumentation & Measurement Magazine 24-4 - 13
Instrumentation & Measurement Magazine 24-4 - 14
Instrumentation & Measurement Magazine 24-4 - 15
Instrumentation & Measurement Magazine 24-4 - 16
Instrumentation & Measurement Magazine 24-4 - 17
Instrumentation & Measurement Magazine 24-4 - 18
Instrumentation & Measurement Magazine 24-4 - 19
Instrumentation & Measurement Magazine 24-4 - 20
Instrumentation & Measurement Magazine 24-4 - 21
Instrumentation & Measurement Magazine 24-4 - 22
Instrumentation & Measurement Magazine 24-4 - 23
Instrumentation & Measurement Magazine 24-4 - 24
Instrumentation & Measurement Magazine 24-4 - 25
Instrumentation & Measurement Magazine 24-4 - 26
Instrumentation & Measurement Magazine 24-4 - 27
Instrumentation & Measurement Magazine 24-4 - 28
Instrumentation & Measurement Magazine 24-4 - 29
Instrumentation & Measurement Magazine 24-4 - 30
Instrumentation & Measurement Magazine 24-4 - 31
Instrumentation & Measurement Magazine 24-4 - 32
Instrumentation & Measurement Magazine 24-4 - 33
Instrumentation & Measurement Magazine 24-4 - 34
Instrumentation & Measurement Magazine 24-4 - 35
Instrumentation & Measurement Magazine 24-4 - 36
Instrumentation & Measurement Magazine 24-4 - 37
Instrumentation & Measurement Magazine 24-4 - 38
Instrumentation & Measurement Magazine 24-4 - 39
Instrumentation & Measurement Magazine 24-4 - 40
Instrumentation & Measurement Magazine 24-4 - 41
Instrumentation & Measurement Magazine 24-4 - 42
Instrumentation & Measurement Magazine 24-4 - 43
Instrumentation & Measurement Magazine 24-4 - 44
Instrumentation & Measurement Magazine 24-4 - 45
Instrumentation & Measurement Magazine 24-4 - 46
Instrumentation & Measurement Magazine 24-4 - 47
Instrumentation & Measurement Magazine 24-4 - 48
Instrumentation & Measurement Magazine 24-4 - 49
Instrumentation & Measurement Magazine 24-4 - 50
Instrumentation & Measurement Magazine 24-4 - 51
Instrumentation & Measurement Magazine 24-4 - 52
Instrumentation & Measurement Magazine 24-4 - 53
Instrumentation & Measurement Magazine 24-4 - 54
Instrumentation & Measurement Magazine 24-4 - 55
Instrumentation & Measurement Magazine 24-4 - 56
Instrumentation & Measurement Magazine 24-4 - 57
Instrumentation & Measurement Magazine 24-4 - 58
Instrumentation & Measurement Magazine 24-4 - 59
Instrumentation & Measurement Magazine 24-4 - 60
Instrumentation & Measurement Magazine 24-4 - 61
Instrumentation & Measurement Magazine 24-4 - 62
Instrumentation & Measurement Magazine 24-4 - 63
Instrumentation & Measurement Magazine 24-4 - 64
Instrumentation & Measurement Magazine 24-4 - 65
Instrumentation & Measurement Magazine 24-4 - 66
Instrumentation & Measurement Magazine 24-4 - 67
Instrumentation & Measurement Magazine 24-4 - 68
Instrumentation & Measurement Magazine 24-4 - 69
Instrumentation & Measurement Magazine 24-4 - 70
Instrumentation & Measurement Magazine 24-4 - 71
Instrumentation & Measurement Magazine 24-4 - 72
Instrumentation & Measurement Magazine 24-4 - 73
Instrumentation & Measurement Magazine 24-4 - 74
Instrumentation & Measurement Magazine 24-4 - 75
Instrumentation & Measurement Magazine 24-4 - 76
Instrumentation & Measurement Magazine 24-4 - 77
Instrumentation & Measurement Magazine 24-4 - 78
Instrumentation & Measurement Magazine 24-4 - 79
Instrumentation & Measurement Magazine 24-4 - 80
Instrumentation & Measurement Magazine 24-4 - 81
Instrumentation & Measurement Magazine 24-4 - 82
Instrumentation & Measurement Magazine 24-4 - 83
Instrumentation & Measurement Magazine 24-4 - 84
Instrumentation & Measurement Magazine 24-4 - 85
Instrumentation & Measurement Magazine 24-4 - 86
Instrumentation & Measurement Magazine 24-4 - 87
Instrumentation & Measurement Magazine 24-4 - 88
Instrumentation & Measurement Magazine 24-4 - 89
Instrumentation & Measurement Magazine 24-4 - 90
Instrumentation & Measurement Magazine 24-4 - 91
Instrumentation & Measurement Magazine 24-4 - 92
Instrumentation & Measurement Magazine 24-4 - 93
Instrumentation & Measurement Magazine 24-4 - 94
Instrumentation & Measurement Magazine 24-4 - 95
Instrumentation & Measurement Magazine 24-4 - 96
Instrumentation & Measurement Magazine 24-4 - 97
Instrumentation & Measurement Magazine 24-4 - 98
Instrumentation & Measurement Magazine 24-4 - 99
Instrumentation & Measurement Magazine 24-4 - 100
Instrumentation & Measurement Magazine 24-4 - 101
Instrumentation & Measurement Magazine 24-4 - 102
Instrumentation & Measurement Magazine 24-4 - 103
Instrumentation & Measurement Magazine 24-4 - 104
Instrumentation & Measurement Magazine 24-4 - 105
Instrumentation & Measurement Magazine 24-4 - 106
Instrumentation & Measurement Magazine 24-4 - 107
Instrumentation & Measurement Magazine 24-4 - 108
Instrumentation & Measurement Magazine 24-4 - 109
Instrumentation & Measurement Magazine 24-4 - 110
Instrumentation & Measurement Magazine 24-4 - 111
Instrumentation & Measurement Magazine 24-4 - 112
Instrumentation & Measurement Magazine 24-4 - 113
Instrumentation & Measurement Magazine 24-4 - 114
Instrumentation & Measurement Magazine 24-4 - 115
Instrumentation & Measurement Magazine 24-4 - 116
Instrumentation & Measurement Magazine 24-4 - 117
Instrumentation & Measurement Magazine 24-4 - 118
Instrumentation & Measurement Magazine 24-4 - 119
Instrumentation & Measurement Magazine 24-4 - 120
Instrumentation & Measurement Magazine 24-4 - Cover3
Instrumentation & Measurement Magazine 24-4 - Cover4
https://www.nxtbook.com/allen/iamm/24-6
https://www.nxtbook.com/allen/iamm/24-5
https://www.nxtbook.com/allen/iamm/24-4
https://www.nxtbook.com/allen/iamm/24-3
https://www.nxtbook.com/allen/iamm/24-2
https://www.nxtbook.com/allen/iamm/24-1
https://www.nxtbook.com/allen/iamm/23-9
https://www.nxtbook.com/allen/iamm/23-8
https://www.nxtbook.com/allen/iamm/23-6
https://www.nxtbook.com/allen/iamm/23-5
https://www.nxtbook.com/allen/iamm/23-2
https://www.nxtbook.com/allen/iamm/23-3
https://www.nxtbook.com/allen/iamm/23-4
https://www.nxtbookmedia.com