How can I efficiently mesh 2D lines in MATLAB

2 次查看（过去 30 天）

Alexander Laut 2018-1-23

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/378573-how-can-i-efficiently-mesh-2d-lines-in-matlab

评论： Jan 2018-1-23

I have created a 2D mesher (for lack of a better word?). Its useage is as follows:

xmin = -pi/2;
xmax = +pi/2;
numx = 8; % desired number of points for output distribution
funx = @(x) sin(x); % example function to mesh
xq = varspace(funx,xmin,xmax,numx); % optimally sampled domain
xq =
     -1.5708   -1.2809   -0.9157   -0.5130    0.5028    0.9363    1.2368    1.5708
plot(xq,funx(xq,'rs-')) % plot of sin(x) with variable spacing

I like this example because it illustrates how sin(x) is very linear at x=0 so there is no need to sample this region as much as near the endpoints in the domain.

For the time being, I've accomplished this method of variably sampling x by generating a relative spacing array and tweaking with :

dx = fminsearch(@(m) err(m),ones(1,numx)); diff(xq) == dx

so as to minimize the error between the original @funx and an interpolated interp1(xq,funx(xq),...).

In 2D, this procedure doesn't take forever but I'm wondering if there are resources to accomplishing this task in a more deterministic way. Computing f''(x) and sampling based on this proportion seems like a reasonable solution but I'm betting this question has been answered before, I just can't find the correct phrase to describe it.

3 个评论
显示 1更早的评论隐藏 1更早的评论

RobF 2018-1-23

Hello Alexander,

could you please be a little more specific on what you want to achieve? Additionally, I cannot find the command "varspace" in the documentation - is this a special function?