柏林噪声：网格单元之间的尖锐轮廓（Matlab）

我相信这个问题与我无关

我试图在Matlab中实现2D经典柏林噪声。我一直在利用这本书作为参考。然而，我的程序给了我“非平滑”的噪音，正如你在下面看到的。局部插值（在每个网格单元内）工作正常，但网格单元之间存在连续性问题。在我看来，噪音几乎就在那里，除了尖锐度，我无法确定其原因。如果您查看等高线图，网格单元之间存在一些匹配，因此我不会（或者我不相信我会）为噪声计算选择错误的网格点

这是我的密码。在这一点上，我的目标不是速度或效率（速度非常慢）

是什么导致沿网格的不连续性？ ==============================================

修正码 （感谢MarkV）

应改为

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我觉得你好像在这里换了B&C

% calculate influence of gradient vectors by using dot product
s = dot(A, [gradients(xi, yi, 1), gradients(xi, yi, 2)] );
t = dot(C, [gradients(xi, yf, 1), gradients(xi, yf, 2)] ); % use C
u = dot(B, [gradients(xf, yi, 1), gradients(xf, yi, 2)] ); % use B
v = dot(D, [gradients(xf, yf, 1), gradients(xf, yf, 2)] );

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你说得对。真不敢相信我自己没找到这个。谢谢我已经在问题中添加了正确的代码。

    % calculate influence of gradient vectors by using dot product
    s = dot(A, [gradients(xi, yi, 1), gradients(xi, yi, 2)] );
    t = dot(B, [gradients(xi, yf, 1), gradients(xi, yf, 2)] );
    u = dot(C, [gradients(xf, yi, 1), gradients(xf, yi, 2)] );
    v = dot(D, [gradients(xf, yf, 1), gradients(xf, yf, 2)] );

    % calculate influence of gradient vectors by using dot product
    s = dot(A, [gradients(xi, yi, 1), gradients(xi, yi, 2)] );
    t = dot(B, [gradients(xf, yi, 1), gradients(xf, yi, 2)] );
    u = dot(C, [gradients(xi, yf, 1), gradients(xi, yf, 2)] );
    v = dot(D, [gradients(xf, yf, 1), gradients(xf, yf, 2)] );

% calculate influence of gradient vectors by using dot product
s = dot(A, [gradients(xi, yi, 1), gradients(xi, yi, 2)] );
t = dot(C, [gradients(xi, yf, 1), gradients(xi, yf, 2)] ); % use C
u = dot(B, [gradients(xf, yi, 1), gradients(xf, yi, 2)] ); % use B
v = dot(D, [gradients(xf, yf, 1), gradients(xf, yf, 2)] );