2维高斯插值的MATLAB代码实现

以下是2维高斯插值的MATLAB代码实现：

function [zq] = gauss_interp(x,y,z,xq,yq)
% 2D Gaussian interpolation
% x, y, z: input data
% xq, yq: query points
% zq: interpolated values at query points

% calculate distances between query points and input data
dx = bsxfun(@minus,x,xq(:)');
dy = bsxfun(@minus,y,yq(:)');
dist2 = dx.^2 + dy.^2;

% calculate weights using Gaussian kernel
sigma = 1;
w = exp(-dist2/(2*sigma^2));

% normalize weights
w = bsxfun(@rdivide,w,sum(w));

% interpolate
zq = w*z(:);
zq = reshape(zq,size(xq));

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图像2维高斯插值的MATLAB代码实现

以下是MATLAB代码实现2D高斯插值：

function [out] = gauss_interp_2d(in, scale)

% in: 输入图像
% scale: 缩放比例

% 计算缩放后的图像大小
[height, width] = size(in);
new_height = round(height * scale);
new_width = round(width * scale);

% 计算高斯核
sigma = 0.5;
kernel_size = 5;
kernel = fspecial('gaussian', kernel_size, sigma);

% 对输入图像进行高斯滤波
in = imfilter(in, kernel, 'replicate');

% 生成网格
[x, y] = meshgrid(1:new_width, 1:new_height);
x = x / scale;
y = y / scale;

% 进行插值
out = interp2(in, x, y, 'cubic');
end

这个函数可以对输入图像进行2D高斯插值，缩放比例由参数scale指定。