transforming matrix after change of variables
1 次查看(过去 30 天)
显示 更早的评论
Hi,
I have a matrix M(r, t), which I would like to transform into a matrix N(x, y, t), where x = r*cos(theta), y = r*sin(theta). I would like to use this to generate a heat map using image() where it plots x against y with the color corresponding to the entry in the matrix. Is there a way to do this?
Thanks for the help!
2 个评论
the cyclist
2015-11-24
What is stored in M? The value at a given (r,t) location? Is it a column vector? Do you have the corresponding values of r and t stored in corresponding vectors?
回答(2 个)
the cyclist
2015-11-24
Assuming you are using t and theta interchangeably here, then I think it should just be
x = r.*cos(t);
y = r.*sin(t);
figure
imagesc(x,y,M)
Walter Roberson
2015-11-25
image() and imagesc() and imshow() only deal with rectangular matrices aligned with the X/Y axes. When you pass x or y coordinates into image() or imagesc(), only the first and last values are paid attention to.
If you want an image with nonlinear coordinates you have a few choices:
- pcolor() or surf() with the coordinate grids and the image data. pcolor() is exactly equivalent to surf() viewed from above. Note that the coordinates are taken to be of vertices and color is interpolated based upon the color of the vertices
- use patch() in texturemap mode to draw the image stretched on to the surface
- use a gridded interpolant and sample the function at a rectangular grid that is then an image that can be used with image() or imagesc()
- probably not for this case but in some cases, use one of the image transforms
- you might be able to use iradon()
0 个评论
另请参阅
类别
在 Help Center 和 File Exchange 中查找有关 Data Distribution Plots 的更多信息
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!