matlab高斯2D模糊的函数

最新推荐文章于 2025-06-13 12:00:50 发布

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最新推荐文章于 2025-06-13 12:00:50 发布 · 4.1k 阅读

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#matlab #gauss #fft

该函数展示了如何在MATLAB中使用不同方法进行2D高斯模糊，包括空间域和频域的实现，涉及fft、imfilter等函数，适用于图像处理。

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function [ f_blurring ] = Func_GaussianBlurring2D( I,FWHM, Method,Pixel_Size,Pad)

% Pixel_Size = 1e-6; % Pixel Size [m]
% FWHM = 5; % [pixels]
% Method = 1;

sigma = FWHM/2.0/sqrt(2.0*log(2.0)); % in pixel
SIGMA = FWHM*Pixel_Size/2.0/sqrt(2.0*log(2.0)); % in physical dimension

%% Sptial Convolution
% Method 1 is less optimized than method 2, beacuse the discretized Gassian
% kernal in spatial domain may not be accurate enough

if Method == 1

H = fspecial('gaussian',2^nextpow2(sigma*64),sigma);
f_blurring = imfilter(I, H, 'replicate');

return

end

%% Frequency Domain

[rows,cols]=size(I); % rows and cols must be even
f_pad = padarray(I, [rows/2, cols/2], Pad); % Pad the input wavefield matrix

delta_x = Pixel_Size;

%% The FT of the Gaussian kernel is known

if Method == 2

F_max = 0.5*(1/delta_x);
delta_k = (2*F_max)/(rows*2)