how to do line fitting multiple lines MATLAB? - matlab

I'm trying find all straight lines in an image which is border. for example,stamps have four edges and I have already find those edges by edge function in MATLAB. But there is a problem that they are not real straight line. so I need to use line fitting to get all four borders. But polyfit function can only fit one line at one time. Is there any solutions that can fit all lines at one time.
for example:here I upload some pictures,the image with red lines is what I want. Please be ware I need four separate lines.

Judging from the image you won't be trying to smooth some lines, or fill in the gaps. Instead it looks more like you need to put your image in the smallest possible box.
Here is an algorithm that you can try:
Start from all 4 corners.
'walk' one of the corners inwards and determine if all points are still within four corners
If so, save this corner and go to step 2, else go to step 2
Keep repeating step 2 and 3 till you have a steady solution.

Are you trying to get rid of the perforations? In that case I would suggest using thresholding to segment out dark areas of the image, and then using regionprops to get their bounding boxes. Then you can figure out the largest rectangle that excludes them.

Related

How to draw a best fit mesh on a set of points in 2D

I have a problem where we have a grid of points and I'd like to fit a "deformed grid which would best fit the set of points.
The MatLab data can be found at:
https://drive.google.com/file/d/14fKKEC5BKGDOjzWupWFSmythqUrRXae4/view?usp=sharing
You will see that cenX and cenY are the x and y coordinates of these centroids.
Like on this image. To note is that there are points missing, and there are a few extra points. Moreover, You can see some lines are not one single line from left to right, however, we could safely assume that the fitting a line somewhat horizontally (+-5degrees) would properly link the points into a somewhat deformed grid.
The vertical lines are trivial because that is how we generated these dots. We can find the number of lines required through a mode of the count of points on each of the columns of the grid.
I'd like to be able to ensure that a point is only part of one line, as this is a grid.

Interpolate out of vector range to split image in MATLAB

I have an image, and I'm letting the user draw a line on it to pick a region. Now, I would like to take that line (red line in the attached image) and extend it to get to the ends of the frame from both sides (white line in image).
I tried using interp1 but when I'm trying to get those coordinates on the frame itself, I get NaNs since it's not between the two points that the user picked.
Any suggestions on how to pick those points? Or alternatively, a better way to split the image?

Image segmentation (OCT)

My image is something like below:
I want to be able to draw 2 layers: (1) red line on top of 1st layer, but (2) blue line in the middle of 2nd layer
I am using OpenCV. but any languages/advice are welcomed.
You can do the following:
Small closing in order to reconnect the small separated components/patterns.
Small opening in order to remove the small isolated components/patterns.
Skeletonize (or median axis)
Pruning in order to remove the small branches.
You will then get a skeleton for each pattern. It will be close to the lines you want to draw. But it will be a little bit irregular, so you can interpolate it.
[EDIT] if you need the red line on top of the edge, a solution is to:
Extract the pattern contour
Keep only the pixel on top.
Algorithmically, it can be achieved doing this: for each X coordinate on the top border, go down the image vertically until you meet the first non-null pixel. If your image is NxM, you must have N pixels in your solution.
If you want to regularize/smooth the result, you have two solutions:
Transform the contour as a parametric function and smooth it.
Do an interpolation (spline?)

Detecting edge only in particular portion of an image

I want to detect the edge only in the red marked region as shown in the image below:
A few suggestions. I assume that the red region is input by mouse and that you now have a mask of the region that you want to include in the edge search.
My proposed algorithm
1. Do Edge detection
2. Write your own Hough routine but only count edges if they should be included according to the mask.
3. Pick the edge with the best score in the Hough space.
Of course you don't need to run the edge detection on the complete image but if you don't make sure that you handle the border of your search area (so you don't get edges there). Simply mirroring the area might work.
Update
Okay, different approach:
Use the hough routines in matlab. houghlines, hough, houghpeaks are the relevant functions. If only one line intersects your region of interest, you are done. The line is the result you want.
If more than one line intersect the region of interest, you need to do a bit more. I'd suggest counting the number of pixels along the line that are within the ROI. So, if the line intersects the ROI for 10 pixels, that line's score is 10. Do this for all lines and then pick the line with the highest score.
Note that none of the approaches are optimized for speed. However, they are easy to understand.

Techniques for differentiating between circle rectangle and triangle?

What coding techniques would allow me to to differentiate between circles, rectangles, and triangles in black and white image bitmaps?
You could train an Artificial Neural Network to classify the shapes :P
If noise is low enough to extract curves, approximations can be used: for each shape select parameters giving least error (he method of least squares may help here) and then compare these errors...
If the image is noisy, I would consider Hough transform - it may be used to detect shapes with small count of parameters, like circle (harder for rectangles and triangles).
just an idea off of the top of my head: scan the (pixel) image line-by-line, pixel-by-pixel. If you encounter the first white pixel (assuming it has a black background) you keep it's position as a starting point and look at the eight pixels surrounding it in every direction for the next white pixel. If you find an adjacent second pixel you can establish a directional vector between those two pixels.
Now repeat this until the direction of your vector changes (or the change is above a certain threshold). Keep the last point before the change as the endpoint of your first line and repeat the process for the next line.
Then calculate the angle between the two lines and store it. Now trace the third line. Calculate the angle between the 2nd and 3rd line as well.
If both angles are rectangular you probably found a rectangle, otherwise you probably found a triangle. If you can't find any straight line you could conclude that you found a circle.
I know the algorithm is a bit sketchy but I think (with some refinement) it could work if your image's quality is not too bad (too much noise, gaps in the lines etc.).
You are looking for the Hough Transform. For an implementation, try the AForge.NET framework. It includes circle and line hough transformations.