2-D Savitzky-Golay smoothing filter (i.e., the polynomial smoothing
filter, or the least-squares smoothing filter)
See Ref.  for details on the 1-D Savitzky-Golay smoothing filter.
One can also refer to the following URL where a program of
1-D Savitzky-Golay smoothing (and differentiation) filter is given:
See Ref.  and  for details on the 2-D Savitzky-Golay smoothing filter.
x = x data point, e.g., -3:3
y = y data point, e.g., -2:2
px =x polynomial order default=1
py =y polynomial order default=1
flag_coupling = with or without the consideration of the coupling terms, between x and y. default=0
Jianwen Luo <email@example.com, firstname.lastname@example.org> 2003-12-15
Department of Biomedical Engineering, Department of Electrical Engineering
Tsinghua University, Beijing 100084, P. R. China
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.
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.
J. E. Kuo, H. Wang, and S. Pickup, "Multidimensional Least-Squares Smoothing Using Orthogonal Polynomials," Analytical Chemistry, vol. 63, pp. 630-635, 1991.
Jianwen Luo (2022). 2-D Savitzky-Golay Smoothing Filter (https://www.mathworks.com/matlabcentral/fileexchange/4270-2-d-savitzky-golay-smoothing-filter), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!Start Hunting!