2-D Savitzky-Golay Smoothing and Differentiation Filter.
Nessuna licenza
2-D Savitzky-Golay (SG) Smoothing and Differentiation Filter.
The filter coefficients are calculated from the decomposation property of the 2-D SG filters.
In addition, the filter coefficients for mixed partial derivative can be obtained by this function.
h=sgsdf_2d3(x,y,nx,ny,d,flag_coupling)
x = x data point, e.g., -3:3 (both odd-length and even-lenght
are accepted, symmetry is prefered but not restricted)
y = y data point, e.g., -2:2 (both odd-length and even-lenght
are accepted, symmetry is prefered but not restricted)
nx =x polynomial order default=1
ny =y polynomial order default=1
dx = differentiation order in x direction (0<=d<=nx) default=0
dy = differentiation order in y direction (0<=d<=ny) default=0
flag_coupling = with or without the consideration of the coupling
terms, between x and y. default=0
h = filter coefficients obtained.
Example:
sgsdf_2d2(-2:2,-3:3,1,1,0,0,0)
sgsdf_2d2(-2:2,-3:3,1,1,0,0,1)
sgsdf_2d2(-2:2,-3:3,2,2,0,1,0)
sgsdf_2d2(-2:2,-3:3,2,2,0,1,1)
sgsdf_2d2((-3:2)+1/2,-3:3,2,2,1,0,0)
sgsdf_2d2((-3:2)+1/2,-3:3,2,2,1,0,1)
sgsdf_2d2(-1:1,-1:1,1,1,1,1,1)
sgsdf_2d2((-3:2)+1/2,(-4:3)+1/2,2,2,1,1,1)
sgsdf_2d2(-3:3,-4:4,2,3,2,1,1)
Author:
Jianwen Luo <luojw@ieee.org>
11/23/2005
References:
[1] J. W. Luo, K. Ying, P. He, and J. Bai, "Properties of Savitzky-Golay Digital Differentiators,"
Digital Signal Processing, vol. 15, pp. 122-136, 2005.
[2] A. Savitzky and M. J. E. Golay, "Smoothing and Differentiation of Data by Simplified Least Squares Procedures,"
Analytical Chemistry, vol. 36, pp. 1627-1639, 1964.
[3] K. L. Ratzlaff and J. T. Johnson, "Computation of Two-Dimensional Polynomial Least-Squares Convolution Smoothing Integers,"
Analytical Chemistry, vol. 61, pp. 1303-1305, 1989.
[4] J. E. Kuo, H. Wang, and S. Pickup, "Multidimensional Least-Squares Smoothing Using Orthogonal Polynomials,"
Analytical Chemistry, vol. 63, pp. 630-635, 1991.
[5] http://research.microsoft.com/users/jckrumm/SavGol/SavGol.htm
[6] T. A. Sakharuk, "Computation of Weighting Functions for Smoothing 2-Dimensional Data by Local Polynomial-Approximation Techniques,"
Analytica Chimica Acta, vol. 249, pp. 331-336, 1991.
[7] P. Meer and I. Weiss, "Smoothed Differentiation Filters for Images,"
Journal of Visual Communication and Image Representation, vol. 3, pp. 58-72, 1992.
[8] P. Nikitas and A. Pappa-Louisi, "Comments on the two-dimensional smoothing of data,"
Analytica Chimica Acta, vol. 415, pp. 117-125, 2000.
Cita come
Jianwen Luo (2024). 2-D Savitzky-Golay Smoothing and Differentiation Filter. (https://www.mathworks.com/matlabcentral/fileexchange/9123-2-d-savitzky-golay-smoothing-and-differentiation-filter), MATLAB Central File Exchange. Recuperato .
Compatibilità della release di MATLAB
Compatibilità della piattaforma
Windows macOS LinuxCategorie
- Signal Processing > Signal Processing Toolbox > Signal Generation and Preprocessing > Smoothing and Denoising >
Tag
Riconoscimenti
Ispirato da: z-transform of 1D & 2D Savitzky-Golay Smoothing and Differentiation Filter
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Scopri Live Editor
Crea script con codice, output e testo formattato in un unico documento eseguibile.
Versione | Pubblicato | Note della release | |
---|---|---|---|
1.0.0.0 | bug fixed for the case of flag_coupling==0. |