Just want to clear out my confusion. I've tested openCV template matching method to match some numbers. First I have this sequence of number 0 1 2 3 4 5 1 2 3 4 5 (after binarization probably the character width is different). How does template matching works to match number '1'? Does it;
slides through all the window until it found 2 matches (2 output), or
stop after it match the first '1', or
find the highest correlation between the two number '1' and choose either one.
Edited: As attached is the output. It only match one number '1' and not two '1'.
[Q] How can I detect two numbers '1' simultaneously?
I know it's an old question but here is an answer.
When you do MatchTemplate, it will output an grayscale image. After that, you will need to do a MinMax on it. Then, you can check if there is a result in the range you are looking for. In the example below, using EmguCV (a wrapper of OpenCV in C#), I draw a rectangle around the best find (index 0 of the minValues array) only if it's below 0.75 (you can adjust this threshold for your needs).
Here is the code:
Image<Gray, float> result = new Image<Gray, float>(new System.Drawing.Size(nWidth, nHeight));
result = image.CurrentImage.MatchTemplate(_imageTemplate.CurrentImage, Emgu.CV.CvEnum.TM_TYPE.CV_TM_SQDIFF_NORMED);
double[] minValues;
double[] maxValues;
System.Drawing.Point[] minLocations;
System.Drawing.Point[] maxLocations;
result.MinMax(out minValues, out maxValues, out minLocations, out maxLocations);
if (minValues[0] < 0.75)
{
Rectangle rect = new Rectangle(new Point(minLocations[0].X, minLocations[0].Y),
new Size(_imageTemplate.CurrentImage.Width, _imageTemplate.CurrentImage.Height));
image.CurrentImage.Draw(rect, new Bgr(0,0,255), 1);
}
else
{
//Nothing has been found
}
EDIT
Here is an example of the output:
Related
I am trying to implement convolution by hand in Julia. I'm not too familiar with image processing or Julia, so maybe I'm biting more than I can chew.
Anyway, when I apply this method with a 3*3 edge filter edge = [0 -1 0; -1 4 -1; 0 -1 0] as convolve(img, edge), I am getting an error saying that my values are exceeding the allowed values for the RGBA type.
Code
function convolve(img::Matrix{<:Any}, kernel)
(half_kernel_w, half_kernel_h) = size(kernel) .÷ 2
(width, height) = size(img)
cpy_im = copy(img)
for row ∈ 1+half_kernel_h:height-half_kernel_h
for col ∈ 1+half_kernel_w:width-half_kernel_w
from_row, to_row = row .+ (-half_kernel_h, half_kernel_h)
from_col, to_col = col .+ (-half_kernel_h, half_kernel_h)
cpy_im[row, col] = sum((kernel .* RGB.(img[from_row:to_row, from_col:to_col])))
end
end
cpy_im
end
Error (original)
ArgumentError: element type FixedPointNumbers.N0f8 is an 8-bit type representing 256 values from 0.0 to 1.0, but the values (-0.0039215684f0, -0.007843137f0, -0.007843137f0, 1.0f0) do not lie within this range.
See the READMEs for FixedPointNumbers and ColorTypes for more information.
I am able to identify a simple case where such error may occur (a white pixel surrounded by all black pixels or vice-versa). I tried "fixing" this by attempting to follow the advice here from another stackoverflow question, but I get more errors to the effect of Math on colors is deliberately undefined in ColorTypes, but see the ColorVectorSpace package..
Code attempting to apply solution from the other SO question
function convolve(img::Matrix{<:Any}, kernel)
(half_kernel_w, half_kernel_h) = size(kernel) .÷ 2
(width, height) = size(img)
cpy_im = copy(img)
for row ∈ 1+half_kernel_h:height-half_kernel_h
for col ∈ 1+half_kernel_w:width-half_kernel_w
from_row, to_row = row .+ [-half_kernel_h, half_kernel_h]
from_col, to_col = col .+ [-half_kernel_h, half_kernel_h]
cpy_im[row, col] = sum((kernel .* RGB.(img[from_row:to_row, from_col:to_col] ./ 2 .+ 128)))
end
end
cpy_im
end
Corresponding error
MethodError: no method matching +(::ColorTypes.RGBA{Float32}, ::Int64)
Math on colors is deliberately undefined in ColorTypes, but see the ColorVectorSpace package.
Closest candidates are:
+(::Any, ::Any, !Matched::Any, !Matched::Any...) at operators.jl:591
+(!Matched::T, ::T) where T<:Union{Int128, Int16, Int32, Int64, Int8, UInt128, UInt16, UInt32, UInt64, UInt8} at int.jl:87
+(!Matched::ChainRulesCore.AbstractThunk, ::Any) at ~/.julia/packages/ChainRulesCore/a4mIA/src/tangent_arithmetic.jl:122
Now, I can try using convert etc., but when I look at the big picture, I start to wonder what the idiomatic way of solving this problem in Julia is. And that is my question. If you had to implement convolution by hand from scratch, what would be a good way to do so?
EDIT:
Here is an implementation that works, though it may not be idiomatic
function convolve(img::Matrix{<:Any}, kernel)
(half_kernel_h, half_kernel_w) = size(kernel) .÷ 2
(height, width) = size(img)
cpy_im = copy(img)
# println(Dict("width" => width, "height" => height, "half_kernel_w" => half_kernel_w, "half_kernel_h" => half_kernel_h, "row range" => 1+half_kernel_h:(height-half_kernel_h), "col range" => 1+half_kernel_w:(width-half_kernel_w)))
for row ∈ 1+half_kernel_h:(height-half_kernel_h)
for col ∈ 1+half_kernel_w:(width-half_kernel_w)
from_row, to_row = row .+ (-half_kernel_h, half_kernel_h)
from_col, to_col = col .+ (-half_kernel_w, half_kernel_w)
vals = Dict()
for method ∈ [red, green, blue, alpha]
x = sum((kernel .* method.(img[from_row:to_row, from_col:to_col])))
if x > 1
x = 1
elseif x < 0
x = 0
end
vals[method] = x
end
cpy_im[row, col] = RGBA(vals[red], vals[green], vals[blue], vals[alpha])
end
end
cpy_im
end
First of all, the error
Math on colors is deliberately undefined in ColorTypes, but see the ColorVectorSpace package.
should direct you to read the docs of the ColorVectorSpace package, where you will learn that using ColorVectorSpace will now enable math on RGB types. (The absence of default support it deliberate, because the way the image-processing community treats RGB is colorimetrically wrong. But everyone has agreed not to care, hence the ColorVectorSpace package.)
Second,
ArgumentError: element type FixedPointNumbers.N0f8 is an 8-bit type representing 256 values from 0.0 to 1.0, but the values (-0.0039215684f0, -0.007843137f0, -0.007843137f0, 1.0f0) do not lie within this range.
indicates that you're trying to write negative entries with an element type, N0f8, that can't support such values. Instead of cpy_im = copy(img), consider something like cpy_im = [float(c) for c in img] which will guarantee a floating-point representation that can support negative values.
Third, I would recommend avoiding steps like RGB.(img...) when nothing about your function otherwise addresses whether images are numeric, grayscale, or color. Fundamentally the only operations you need are scalar multiplication and addition, and it's better to write your algorithm generically leveraging only those two properties.
Tim Holy's answer above is correct - keep things simple and avoid relying on third-party packages when you don't need to.
I might point out that another option you may not have considered is to use a different algorithm. What you are implementing is the naive method, whereas many convolution routines using different algorithms for different sizes, such as im2col and Winograd (you can look these two up, I have a website that covers the idea behind both here).
The im2col routine might be worth doing as essentially you can break the routine in several pieces:
Unroll all 'regions' of the image to do a dot-product with the filter/kernel on, and stack them together into a single matrix.
Do a matrix-multiply with the unrolled input and filter/kernel.
Roll the output back into the correct shape.
It might be more complicated overall, but each part is simpler, so you may find this easier to do. A matrix multiply routine is definitely quite easy to implement. For 1x1 (single-pixel) convolutions where the image and filter have the same ordering (i.e. NCHW images and FCHW filter) the first and last steps are trivial as essentially no rolling/unrolling is necessary.
A final word of advice - start simpler and add in the code to handle edge-cases, convolutions are definitely fiddly to work with.
Hope this helps!
I am currently planning on training a binary image classification model. The images I want to train on are the difference between two original pictures. In other words, for each data entry, I start out with 2 pictures, take their difference, and the label that difference as a 0 or 1. My question is what is the best way to find this difference. I know about cv2.absdiff and then normal subtraction of images - what is the most effective way to go about this?
About the data: The images I'm training on are screenshots that usually are the same but may have small differences. I found that normal subtraction seems to show the differences less than absdiff.
This is the code I use for absdiff:
diff = cv2.absdiff(img1, img2)
mask = cv2.cvtColor(diff, cv2.COLOR_BGR2GRAY)
th = 1
imask = mask>1
canvas = np.zeros_like(img2, np.uint8)
canvas[imask] = img2[imask]
And then this for normal subtraction:
def extract_diff(self,imageA, imageB, image_name, path):
subtract = imageB.astype(np.float32) - imageA.astype(np.float32)
mask = cv2.inRange(np.abs(subtract),(30,30,30),(255,255,255))
th = 1
imask = mask>1
canvas = np.zeros_like(imageA, np.uint8)
canvas[imask] = imageA[imask]
Thanks!
A difference can be negative or positive.
For some number types, such as uint8 (unsigned 8-bit int), which can't be negative (have no sign), a negative value wraps around and the value would make no sense anymore. Other types can be signed (e.g. floats, signed ints), so a negative value can be represented correctly.
That's why cv.absdiff exists. It always gives you absolute differences, and those are okay to represent in an unsigned type.
Example with numbers: a = 4, b = 6. a-b should be -2, right?
That value, as an uint8, will wrap around to become 0xFE, or 254 in decimal. The 254 value has some relation to the true -2 difference, but it also incorporates the range of values of the data type (8 bits: 256 values), so it's really just "code".
cv.absdiff would give you the absolute of the difference (-2), which is 2.
In a nutshell, I would like to know if there is a tensor command in torch that gives me the indices of elements in a tensor that satisfy a certain criteria.
Here is matlab code that illustrates what I would like to be able to do in torch:
my_mat = magic(3); % returns a 3 by 3 matrix with the numbers 1 through 9
greater_than_fives = find(my_mat > 5); % find indices of all values greater than 5, the " > 5" is a logical elementwise operator that returns a matrix of all 0's and 1's and finally the "find" command picks out the indices with a "1" in them
my_mat(greater_than_fives) = 0; % set all values greater than 5 equal to 0
I understand that I could do this in torch using a for loop, but is there some equivalent to matlab's find command that would allow me to do this more compactly?
x[x:gt(5)] = 0
In general there are x:gt :lt :ge :le :eq
There is also the general :apply function tha takes in an anonymous function and applies it to each element.
Currently, I'm working on a project in medical engineering. I have a big image with several sub-images of the cell, so my first task is to divide the image.
I thought about the next thing:
Convert the image into binary
doing a projection of the brightness pixels into the x-axis so I can see where there are gaps between brightnesses values and then divide the image.
The problem comes when I try to reach the second part. My idea is using a vector as the projection and sum all the brightnesses values all along one column, so the position number 0 of the vector is the sum of all the brightnesses values that are in the first column of the image, the same until I reach the last column, so at the end I have the projection.
This is how I have tried:
void calculo(cv::Mat &result,cv::Mat &binary){ //result=the sum,binary the imag.
int i,j;
for (i=0;i<=binary.rows;i++){
for(j=0;j<=binary.cols;j++){
cv::Scalar intensity= binaria.at<uchar>(j,i);
result.at<uchar>(i,i)=result.at<uchar>(i,i)+intensity.val[0];
}
cv::Scalar intensity2= result.at<uchar>(i,i);
cout<< "content" "\n"<< intensity2.val[0] << endl;
}
}
When executing this code, I have a violation error. Another problem is that I cannot create a matrix with one unique row, so...I don't know what could I do.
Any ideas?! Thanks!
At the end, it does not work, I need to sum all the pixels in one COLUMN. I did:
cv::Mat suma(cv::Mat& matrix){
int i;
cv::Mat output(1,matrix.cols,CV_64F);
for (i=0;i<=matrix.cols;i++){
output.at<double>(0,i)=norm(matrix.col(i),1);
}
return output;
}
but It gave me a mistake:
Assertion failed (0 <= colRange.start && colRange.start <= colRange.end && colRange.end <= m.cols) in Mat, file /home/usuario/OpenCV-2.2.0/modules/core/src/matrix.cpp, line 276
I dont know, any idea would be helpful, anyway many thanks mevatron, you really left me in the way.
If you just want the sum of the binary image, you could simply take the L1-norm. Like so:
Mat binaryVectorSum(const Mat& binary)
{
Mat output(1, binary.rows, CV_64F);
for(int i = 0; i < binary.rows; i++)
{
output.at<double>(0, i) = norm(binary.row(i), NORM_L1);
}
return output;
}
I'm at work, so I can't test it out, but that should get you close.
EDIT : Got home. Tested it. It works. :) One caveat...this function works if your binary matrix is truly binary (i.e., 0's and 1's). You may need to scale the norm output with the maximum value if the binary matrix is say 0's and 255's.
EDIT : If you don't have using namespace cv; in your .cpp file, then you'll need to declare the namespace to use NORM_L1 like this cv::NORM_L1.
Have you considered transposing the matrix before you call the function? Like this:
sumCols = binaryVectorSum(binary.t());
vs.
sumRows = binaryVectorSum(binary);
EDIT : A bug with my code :)
I changed:
Mat output(1, binary.cols, CV_64F);
to
Mat output(1, binary.rows, CV_64F);
My test case was a square matrix, so that bug didn't get found...
Hope that is helpful!
I'm trying to develop an application using SOM in analyzing data. However, after finishing training, I cannot find a way to visualize the result. I know that U-Matrix is one of the method but I cannot understand it properly. Hence, I'm asking for a specific and detail example how to construct U-Matrix.
I also read an answer at U-matrix and self organizing maps but it only refers to 1 row map, how about 3x3 map? I know that for 3x3 map:
m(1) m(2) m(3)
m(4) m(5) m(6)
m(7) m(8) m(9)
a 5x5 matrix must me created:
u(1) u(1,2) u(2) u(2,3) u(3)
u(1,4) u(1,2,4,5) u(2,5) u(2,3,5,6) u(3,6)
u(4) u(4,5) u(5) u(5,6) u(6)
u(4,7) u(4,5,7,8) u(5,8) u(5,6,8,9) u(6,9)
u(7) u(7,8) u(8) u(8,9) u(9)
but I don't know how to calculate u-weight u(1,2,4,5), u(2,3,5,6), u(4,5,7,8) and u(5,6,8,9).
Finally, after constructing U-Matrix, is there any way to visualize it using color, e.g. heat map?
Thank you very much for your time.
Cheers
I don't know if you are still interested in this but I found this link
http://www.uni-marburg.de/fb12/datenbionik/pdf/pubs/1990/UltschSiemon90
which explains very speciffically how to calculate the U-matrix.
Hope it helps.
By the way, the site were I found the link has several resources referring to SOMs I leave it here in case anyone is interested:
http://www.ifs.tuwien.ac.at/dm/somtoolbox/visualisations.html
The essential idea of a Kohonen map is that the data points are mapped to a
lattice, which is often a 2D rectangular grid.
In the simplest implementations, the lattice is initialized by creating a 3D
array with these dimensions:
width * height * number_features
This is the U-matrix.
Width and height are chosen by the user; number_features is just the number
of features (columns or fields) in your data.
Intuitively this is just creating a 2D grid of dimensions w * h
(e.g., if w = 10 and h = 10 then your lattice has 100 cells), then
into each cell, placing a random 1D array (sometimes called "reference tuples")
whose size and values are constrained by your data.
The reference tuples are also referred to as weights.
How is the U-matrix rendered?
In my example below, the data is comprised of rgb tuples, so the reference tuples
have length of three and each of the three values must lie between 0 and 255).
It's with this 3D array ("lattice") that you begin the main iterative loop
The algorithm iteratively positions each data point so that it is closest to others similar to it.
If you plot it over time (iteration number) then you can visualize cluster
formation.
The plotting tool i use for this is the brilliant Python library, Matplotlib,
which plots the lattice directly, just by passing it into the imshow function.
Below are eight snapshots of the progress of a SOM algorithm, from initialization to 700 iterations. The newly initialized (iteration_count = 0) lattice is rendered in the top left panel; the result from the final iteration, in the bottom right panel.
Alternatively, you can use a lower-level imaging library (in Python, e.g., PIL) and transfer the reference tuples onto the 2D grid, one at a time:
for y in range(h):
for x in range(w):
img.putpixel( (x, y), (
SOM.Umatrix[y, x, 0],
SOM.Umatrix[y, x, 1],
SOM.Umatrix[y, x, 2])
)
Here img is an instance of PIL's Image class. Here the image is created by iterating over the grid one pixel at a time; for each pixel, putpixel is called on img three times, the three calls of course corresponding to the three values in an rgb tuple.
From the matrix that you create:
u(1) u(1,2) u(2) u(2,3) u(3)
u(1,4) u(1,2,4,5) u(2,5) u(2,3,5,6) u(3,6)
u(4) u(4,5) u(5) u(5,6) u(6)
u(4,7) u(4,5,7,8) u(5,8) u(5,6,8,9) u(6,9)
u(7) u(7,8) u(8) u(8,9) u(9)
The elements with single numbers like u(1), u(2), ..., u(9) as just the elements with more than two numbers like u(1,2,4,5), u(2,3,5,6), ... , u(5,6,8,9) are calculated using something like the mean, median, min or max of the values in the neighborhood.
It's a nice idea calculate the elements with two numbers first, one possible code for that is:
for i in range(self.h_u_matrix):
for j in range(self.w_u_matrix):
nb = (0,0)
if not (i % 2) and (j % 2):
nb = (0,1)
elif (i % 2) and not (j % 2):
nb = (1,0)
self.u_matrix[(i,j)] = np.linalg.norm(
self.weights[i //2, j //2] - self.weights[i //2 +nb[0], j // 2 + nb[1]],
axis = 0
)
In the code above the self.h_u_matrix = self.weights.shape[0]*2 - 1 and self.w_u_matrix = self.weights.shape[1]*2 - 1 are the dimensions of the U-Matrix. With that said, for calculate the others elements it's necessary obtain a list with they neighboors and apply a mean for example. The following code implements that's idea:
for i in range(self.h_u_matrix):
for j in range(self.w_u_matrix):
if not (i % 2) and not (j % 2):
nodelist = []
if i > 0:
nodelist.append((i-1,j))
if i < 4:
nodelist.append((i+1, j))
if j > 0:
nodelist.append((i,j -1))
if j < 4:
nodelist.append((i,j+1))
meanlist = [self.u_matrix[u_node] for u_node in nodelist]
self.u_matrix[(i,j)] = np.mean(meanlist)
elif (i % 2) and (j % 2):
meanlist = [
(i - 1, j),
(i + 1, j),
(i, j - 1),
(i, j + 1)]
self.u_matrix[(i,j)] = np.mean(meanlist)