LCM of two numbers

Wavelet Coefficient Calculator

Engineering Chemistry Financial Health More >>

↳

Electronics Chemical Engineering Civil Electrical More >>

⤿

Digital Image Processing Amplifiers Analog Communications Analog Electronics More >>

⤿

Basics of Image Processing Intensity Transformation

✖Scaling Function Expansion refers to the representation of a signal or an image using a series of scaled and translated versions of a base or fundamental function.ⓘ Scaling Function Expansion [f_s[x]]			+10% -10%
✖Wavelet Expansion Function refers to the representation of a signal or an image as a linear combination of wavelet functions at different scales and positions.ⓘ Wavelet Expansion Function [ψ _j,k[x]]			+10% -10%
✖Integer Index for Linear Expansion is an integer index of a finite or infinite sum.ⓘ Integer Index for Linear Expansion [k]			+10% -10%

✖Detail Wavelet Coefficient refers to the component of the signal or image that represents the high-frequency details captured by the wavelet transform.ⓘ Wavelet Coefficient [d_j[k]]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Basics of Image Processing Formulas PDF PDF Image

Wavelet Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion)
d_j[k] = int(f_s[x]*ψ _j,k[x]*x,x,0,k)
This formula uses 1 Functions, 4 Variables

Functions Used

int - The definite integral can be used to calculate net signed area, which is the area above the x -axis minus the area below the x -axis., int(expr, arg, from, to)

Variables Used

Detail Wavelet Coefficient - Detail Wavelet Coefficient refers to the component of the signal or image that represents the high-frequency details captured by the wavelet transform.
Scaling Function Expansion - Scaling Function Expansion refers to the representation of a signal or an image using a series of scaled and translated versions of a base or fundamental function.
Wavelet Expansion Function - Wavelet Expansion Function refers to the representation of a signal or an image as a linear combination of wavelet functions at different scales and positions.
Integer Index for Linear Expansion - Integer Index for Linear Expansion is an integer index of a finite or infinite sum.

STEP 1: Convert Input(s) to Base Unit

Scaling Function Expansion: 2.5 --> No Conversion Required
Wavelet Expansion Function: 8 --> No Conversion Required
Integer Index for Linear Expansion: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_j[k] = int(f_s[x]*ψ _j,k[x]*x,x,0,k) --> int(2.5*8*x,x,0,4)

Evaluating ... ...

d_j[k] = 160

STEP 3: Convert Result to Output's Unit

160 --> No Conversion Required

FINAL ANSWER

160 <-- Detail Wavelet Coefficient

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Electronics » Digital Image Processing » Basics of Image Processing » Wavelet Coefficient

Credits

Created by Zaheer Sheik

Seshadri Rao Gudlavalleru Engineering College (SRGEC), Gudlavalleru

Zaheer Sheik has created this Calculator and 25+ more calculators!

Verified by Dipanjona Mallick

Heritage Insitute of technology (HITK), Kolkata

Dipanjona Mallick has verified this Calculator and 50+ more calculators!

< Basics of Image Processing Calculators

Bilinear Interpolation

LaTeX Go Bilinear Interpolation = Coefficient a*X Co-ordinate+Coefficient b*Y Co-ordinate+Coefficient c*X Co-ordinate*Y Co-ordinate+Coefficient d

Digital Image Row

LaTeX Go Digital Image Row = sqrt(Number of Bits/Digital Image Column)

Digital Image Column

LaTeX Go Digital Image Column = Number of Bits/(Digital Image Row^2)

Number of Grey Level

LaTeX Go Grey Level Image = 2^Digital Image Column

Wavelet Coefficient Formula

LaTeX Go

Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion)
d_j[k] = int(f_s[x]*ψ _j,k[x]*x,x,0,k)

What is Wavelet Coefficient?

Wavelet coefficients are the numerical values obtained from the wavelet transform of a signal or an image. When a signal or an image is processed using wavelet analysis, it is decomposed into different frequency components and spatial details. Wavelet coefficients represent the contribution of each wavelet function to the decomposition at different scales and positions.

How to Calculate Wavelet Coefficient?

Wavelet Coefficient calculator uses Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion) to calculate the Detail Wavelet Coefficient, The Wavelet Coefficient formula is used to calculate the numerical values obtained from the wavelet transform of a signal or an image and it represents the strength or magnitude of the high-frequency components present in the image at different scales and orientations. Detail Wavelet Coefficient is denoted by d_j[k] symbol.

How to calculate Wavelet Coefficient using this online calculator? To use this online calculator for Wavelet Coefficient, enter Scaling Function Expansion (f_s[x]), Wavelet Expansion Function (ψ _j,k[x]) & Integer Index for Linear Expansion (k) and hit the calculate button. Here is how the Wavelet Coefficient calculation can be explained with given input values -> 160 = int(2.5*8*x,x,0,4).

FAQ

What is Wavelet Coefficient?

The Wavelet Coefficient formula is used to calculate the numerical values obtained from the wavelet transform of a signal or an image and it represents the strength or magnitude of the high-frequency components present in the image at different scales and orientations and is represented as d_j[k] = int(f_s[x]*ψ _j,k[x]*x,x,0,k) or Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion). Scaling Function Expansion refers to the representation of a signal or an image using a series of scaled and translated versions of a base or fundamental function, Wavelet Expansion Function refers to the representation of a signal or an image as a linear combination of wavelet functions at different scales and positions & Integer Index for Linear Expansion is an integer index of a finite or infinite sum.

How to calculate Wavelet Coefficient?

The Wavelet Coefficient formula is used to calculate the numerical values obtained from the wavelet transform of a signal or an image and it represents the strength or magnitude of the high-frequency components present in the image at different scales and orientations is calculated using Detail Wavelet Coefficient = int(Scaling Function Expansion*Wavelet Expansion Function*x,x,0,Integer Index for Linear Expansion). To calculate Wavelet Coefficient, you need Scaling Function Expansion (f_s[x]), Wavelet Expansion Function (ψ _j,k[x]) & Integer Index for Linear Expansion (k). With our tool, you need to enter the respective value for Scaling Function Expansion, Wavelet Expansion Function & Integer Index for Linear Expansion and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search