Permutation of pages of a 3d array in matlab - matlab

I have a 3D array representing an image in MATLAB. I want to reverse the position of pages(in my case slices).
Let's assume the number of pages is N. I want to replace first page with Nth, second with (N-1)th and so on.. Is there any function to do it in matlab. Now I am using the code below, but I have to avoid nested for loops, that is why I am looking for a prepared function. Any help would be appreciated.
Thank you in advance
I = ones(size(Image,1),size(Image,2),size(Image,3));
k=1;
for n=size(Image,3):-1:1
I(:,:,k) = Image(:,:,n);
k = k+1;
end

You can simply
I = Image(:,:,end:-1:1);

Another possibility, which lets you use the same notation for flipping the array along any dimension:
I = flipdim(Image, 3); %// 3 is the dimension you want to flip along

Related

Error message when storing output from loop in matrix

I have this program which calculates the realized covariance for each day in my sample but I have some troubles with storing the output in a matrix.
the program is as follows:
for i=1:66:(2071*66)
vec = realized_covariance(datapa(i:i+65),data(i:i+65),datapo(i:i+65),data(i:i+65),'wall','Fixed',fixedInterval,5)
mat(2,4142) = vec
end
Output:
vec =
1.0e-03 *
0.1353 -0.0283
-0.0283 0.0185
Subscripted assignment dimension mismatch.
I have tried various way to store the output in a matrix like defining a matrix on zeroes to store the output in or let the row dimension of the storing matrix be undefined, but nothing seems to do the job.
I would really appreciate an advice on how to tackle this challenge.
I have used a solution which does the job.
I defined a matrix and then filled in all my output one at the time using the following:
A = zeros(0,0) %before loop, only serve to define the storing matrix
A = [A; vec]%after the calculating function, inside the loop.
Actually mat(2,4142) is a single location in a matrix, you can't assign there four values.
You need to define the exact location inside mat every time you want to assign values into it. Try doing it like that:
mat=zeros(2,2142);
for k=1:66:(2071*66)
vec=realized_covariance(datapa(i:i+65),data(i:i+65),datapo(i:i+65),data(i:i+65),'wall','Fixed',fixedInterval,5)
mat(:,[(((k-1)/66)*2)+1 (((k-1)/66)*2)+2])=vec;
end
You're trying to store a 2 x 2 matrix into a single element. I.e. 4 elements on the right hand side, one on the left. That won't fit. See it like this: you have a garage besides your house where 1 car fits. You've got three friends coming over and they also want to park their car inside. That's a problem though, as you've got only space for one. So you have to buy a bigger garage: assign 4 elements on the left (e.g. mat(ii:ii+1,jj:jj+1) = [1 2;3 4]), or use a cell/structure array.
As Steve suggests in a comment below, you can use a 3D matrix quite easily:
counters = 1:66:(2071*66);
mat = zeros(2,2,numel(counters)); %// initialise output matrix
for ii=1:numel(counters)
vec = realized_covariance(datapa(counters(ii):counters(ii+65)),...
data(counters(ii):counters(ii+65)),datapo(counters(ii):counters(ii+65)),...
data(counters(ii):counters(ii+65)),'wall','Fixed',fixedInterval,5)
mat(:,:,ii) = vec; %// store in a 3D matrix
end
Now mat is 3D, with the first two coordinates being your regular output, i.e.e vec, and the last index is the iteration number. So to access the output of iteration 1032 you'd do mat(:,:,1032), possibly with a squeeze around that to make it 2D instead of 3D.

peak finder for multidimensional array

I'm trying the following and is not working. Could someone help me on this?
A=rand(1,4,5);
peak_num=zeros(5,4);
for w=1:5
peak_num(w,:)=peakfinder(A(1,1:4,w))
end
peak_num;
in this case the vector of peaks found for each w has a different size.
Thanks
I haven't really taken a look at the internals of the peakfinder function but if you make sure that it does not output a vector with more than 4 elements this is a workaround:
A=rand(1,4,5);
peak_num=zeros(5,4);
for w=1:5
temp = peakfinder(A(1,1:4,w));
peak_num(w, 1:length(temp) ) = temp
end
peak_num;
It sets the first elements to the return values and keeps the others being zero.

Storing for loop calculations in a vector Matlab

I want to store each S I calculate in my for loop to store into a vector, so that I can plot S vs. x. i.e. S(x1),S(x1+0.1)..... will be stored as [S(x1) S(x1+0.1)....]
Here's my code:
function[S]=spline(m0,m1,p,q,x1,x2,x)
S=0;
x=x1;
for x=x1:.1:x2
S=(-m0/(6*(x2-x1)))*((x-x2)*(x-x2)*(x-x2))+(m1/(6*(x2-x1)))*((x-x1)*(x-x1)*(x-x1))+p*(x2-x)+q*(x-x1);
end
I can't seem to iteratively store each S in a vector. Thanks for any help.
You need to use an index for S. In you problem you can't use the one defined in your for loop so you need to use an other one. Also, if you want to plot it correctly you need to define one of your axis according to your 0.1 step.
function[S]=spline(m0,m1,p,q,x1,x2,x)
S=zeros(1,(x2-x1)/0.1 + 1));
x=x1;
i=1;
for x=x1:.1:x2
S(i)=(-m0/(6*(x2-x1)))*((x-x2)*(x-x2)*(x-x2))+(m1/(6*(x2-x1)))*((x-x1)*(x-x1)*(x-x1))+p*(x2-x)+q*(x-x1);
i=i+1;
end
end
You can then plot this vector : plot(linspace(x1,x2,(x2-x1)/0.1 + 1),S)
You are not indexing S in your loop. A cheap way to achieve what you want would be
idx = 0;
for x=x1:.1:x2
idx=idx+1;
S(idx)=...

First Derivative filter Matlab

I have recently been tasked with using a first derivative filter on an image of myself. The instructor said that I should first fix the value of y and preform f(x+1) - f(x) on the rows and then fix the new "X" values and preform f(y+1)-f(y) on the columns.
Note: I have been asked to do this task manually, not using filter2() or any other programmed function, so please do not suggest that I use filter2() or similar. Thanks!
I tried calling up all the pixels and subtracting each successive one by doing
fid = fopen('image.raw')
myimage = fread(fid,[512 683], '*int8')
fclose(fid)
imsz = size(myimage)
x = imsz(1)
for I = 1:512
for J = 1:683
X(I) - X(I-1) = XX
But it doesnt seem to work, and I dont quite understand why. If you could help me, or point me in the right direction, I would be very appreciative.
First of all, your code is syntatically incorrect:
There is no end statement to any of your loops, and besides, you don't even need loops here.
You seem to read your image into the variable myimage, but you're using an undefined variable X when attempting to calculate the derivative.
The order of your assignment statements is reversed. The variable you wish to assign to should be written in the left hand part of the assignement.
I strongly suggest that you read online tutorials and get yourself familiar with MATLAB basics before taking on more complicated tasks.
As to your specific problem:
MATLAB encourages vectorized operations, i.e operations on entire arrays (vectors or matrices) at once. To subtract adjacent values in an array, what you're basically doing is subtracting two arrays, shifted by one element with respect to each other. For one dimensional arrays, that would translate in MATLAB to:
a(2:end) - a(1:end-1)
where a is your array. The end keyword specifies the last index in the array.
To compute the derivative of an image (a 2-D matrix), you need to decide along which axis you want to perform that operation. To approximate the derivate along the y-axis, do this:
X(2:end, :) - X(1:end-1, :)
You can verify that this gives you the same result as diff(X, 1) (or simply diff(X)). To compute the approximate derivative along the x-axis, which is equivalent to diff(X, 2), do this:
X(:, 2:end) - X(:, 1:end-1)
The colon (:) is the same as writing 1:end as the array subscript for the corresponding dimension.
If your filtered image is div then
for Y = 1:682
for X = 1:511
div(X, Y) = myimage(X + 1, Y + 1) - myimage(X,Y);
end
end
Remember the last row and the last column are not filtered!

Referring to coordinates of a 3d matrix in Matlab

In Matlab I'm trying to find points in a 3d matrix whose coordinates are smaller than some function.
If these coordinates are equal to some functions than I can write:
A(some_function1,some_function2,some_function3)=2;
But what if I want to do something like:
A(<some_function1,<some_function2,<some_function3)=2;
This isn't working - so what is the other way of finding such points without using "for" loop? Unfortunately with "for" loop my code takes a lot of time to compute. Thank you for your help!
How about something along the lines of
A( ceil(min(some_function1,size(A,1))),...
ceil(min(some_function2,size(A,2))),...
ceil(min(some_function3,size(A,3))) );
This will cap the indicies to the end of each array dimension
You can just use regular indexing to achieve this:
A(1:floor(some_function1),1:floor(some_function2),1:floor(some_function3)) = 2;
assuming you check / ensure that floor(some_function*) is smaller than the dimensions of A
Try:
A(1:size(A,1)<some_function1, 1:size(A,2)<some_function2, 1:size(A,3)<some_function3) = 2
I hope I got your question correctly.