如何在Matlab中创建非线性间隔矢量? [英] How to create nonlinear spaced vector in Matlab?

问题描述

我正在尝试创建一个等高线图，其焦点位于1到1.05的特定有限范围内.同时，我需要非常接近1的高分辨率.我想我可以使用类似以下的方法，但是间距看起来仍然是线性的

I'm trying to create a contour plot with focus around a particular finite range from 1 to 1.05. At the same time, I need very high resolution closer to 1. I thought I could use something like the following but the spacing still looks linear

out=exp(linspace(log(1),log(1.05),100))
plot(diff(out))

当边界太紧时，增强间距非线性的最佳方法是什么?同样，我需要将高密度保持在1附近，并且分辨率会以非线性方式逐渐降低.我有一些想法，但我认为某人可能会快速使用2衬板或类似的东西.

What is the best way to enhance the nonlinearity of the spacing when the bounds are so tight? Again, I need to maintain high density near 1 with the resolution tapering off in a nonlinear way. I have a few ideas but I thought someone might have a quick 2 liner or something of the sort.

推荐答案

而不是应用函数 f(x)= e ^x ，以获得更陡峭"的非线性，而是应用 f(x)= e ^ax

instead of applying the function f(x) = e^x, to get a 'steeper' non-linearity, rather apply f(x) = e^ax

n = 20;
a = 100;
lower = 1;
upper = 1.05;
temp = exp(linspace(log(1)*a,log(1.05)*a,n))
% re-scale to be between 0 and 1
temp_01 = temp/max(temp) - min(temp)/max(temp)
% re-scale to be between your limits (i.e. 1 and 1.05)
out = temp_01*(upper-lower) + lower

现在plot(diff(out),diff(out),'o')产生

请注意，您可以对logspace使用与上面完全相同的缩放方案，因此只需使用

Note that you can use the exact same scaling scheme above with logspace so just use

temp = logspace(...)

然后其余的都一样

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