3 dimension array?
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Any internet search engine will give these pages at the top of the search results:
MATLAB's documentation is really useful and readable. It tells us how to use MATLAB. It has working examples too. You can search it using your favorite internet search engine: this will find the official, correct and recommended ways of using MATLAB. The first link above includes the title "Creating Multi-Dimensional Arrays" at the top of the page. Perhaps you might like to read this.
Here are three easy ways to create ND arrays:
- indexing:
>> A(:,:,2) = [1,2;3,4];
>> A(:,:,1) = [9,8;7,6]
A(:,:,1) =
9 8
7 6
A(:,:,2) =
1 2
3 4
- reshape:
>> X = [9,7,8,6,1,3,2,4];
>> reshape(X,2,2,2)
ans(:,:,1) =
9 8
7 6
ans(:,:,2) =
1 2
3 4
- cat:
>> X = [1,2;3,4];
>> Y = [9,8;7,6];
>> cat(3,Y,X)
ans(:,:,1) =
9 8
7 6
ans(:,:,2) =
1 2
3 4
6 个评论
Thanks a lot, Henry
Luis
2026-6-15,20:17
in this example you shows a 2 dimensional array?
Those approaches do start off using 2-dimensional arrays.
The indexing approach assigns those 2-dimensional arrays into segments of a 3-dimensional array.
The reshape approach "folds" the 2-dimensional arrays in the third dimension. [If you've ever seen those toys that are snakes built of plastic or wooden blocks, picture folding one of those into a cube form. I'm thinking of something like a Rubik's Snake.]
The cat approach stacks two 2-dimensional arrays on top of one another, like snapping one Lego block on top of another Lego block.
A fourth approach, that's somewhat related to the indexing approach, is the allocate-and-fill approach. In this you "set up shelves" using a function like zeros, ones, etc. then assign values into the array like putting items on the shelves.
shelves = zeros(2, 3, 4)
shelves =
shelves(:,:,1) =
0 0 0
0 0 0
shelves(:,:,2) =
0 0 0
0 0 0
shelves(:,:,3) =
0 0 0
0 0 0
shelves(:,:,4) =
0 0 0
0 0 0
shelves(1, 2, :) = [1 2 3 4]
shelves =
shelves(:,:,1) =
0 1 0
0 0 0
shelves(:,:,2) =
0 2 0
0 0 0
shelves(:,:,3) =
0 3 0
0 0 0
shelves(:,:,4) =
0 4 0
0 0 0
I've essentially put stuff in the "middle of the back of each shelf" with the assignment statement. This approach makes sure I have the right sized "set of shelves" from the get-go without the trick the indexing approach used, where it put items on the second shelf first (to make sure you got a shelving unit with at least two shelves.)
To be explicit:
There is no MATLAB notation to directly represent 3 or more dimensions of an array. For example,
A = [[1 2 3], [4 5 6]]
does NOT create a 2 x 1 x 3 array, and there is no notation similar to
A = [1 2 3 ## 4 5 6]
to create a 1 x 3 x 2 array.
The closest MATLAB notation to that is
A = cat(3, 1 2 3, 4 5 6)
The direct MATLAB notation only extends to 2 dimensions.
A = cat(3, [1,2,3], [4,5,6])
Opps,
A = cat(3, [1 2 3], [4 5 6])
it is!
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