上述代码没有通过给定坐标,请重新写成matlab代码
时间: 2023-12-27 14:03:05 浏览: 134
对于移动最小二乘法拟合曲线,可以通过给定的坐标点来拟合曲线。下面是一个示例的 MATLAB 代码:
```matlab
% 给定坐标点
x = [0.1, 0.2, 0.3, 0.4, 0.5, 0.6];
y = [0.1, 0.5, 0.4, 0.7, 0.9, 1.2];
% 设置 MLS 参数
radius = 0.1; % 半径
degree = 1; % 多项式次数
% 构造权重函数
weight = @(r) (1 - r.^3).^3; % 高斯函数
% 计算 MLS 拟合曲线
xx = linspace(min(x), max(x), 100);
yy = zeros(size(xx));
for i = 1:numel(xx)
% 计算每个查询点的权重
d = abs(x(:)-xx(i));
w = weight(d / radius);
w = w / sum(w);
% 构造多项式
p = ones(size(x(:)));
for j = 1:degree
p = [p, x(:).^j];
end
% 计算系数
c = p' * diag(w) * p \ (p' * diag(w) * y(:));
% 计算查询点的值
p_q = ones(size(w));
for j = 1:degree
p_q = [p_q, xx(i).^j];
end
yy(i) = p_q * c;
end
% 绘制结果
figure;
plot(x, y, 'o', xx, yy, '-');
legend('原始数据', '拟合曲线');
```
这段代码中,我们给定了一些坐标点(x, y),并设置了半径和多项式次数。然后通过构造权重函数和多项式,对每个查询点进行 MLS 拟合,并最终绘制出了原始数据和拟合曲线。
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