Matching a curve pattern to the edges of an image - algorithm

I have a target image to be searched for a curve along its edges and a template image that contains the curve. What I need to achieve is to find the best match of the curve in the template image within the target image, and based on the score, to find out whether there is a match or not. That also includes rotation and resizing of the curve. The target image can be the output of a Canny Edge detector if that makes things easier.
I am considering to use OpenCV (by using Python or Processing/Java or if those have limited access to the required functions then by using C) to make things practical and efficient, however could not find out if I can use any functions (or a combination of them) in OpenCV that are useable for doing this job. I have been reading through the OpenCV documentation and thought at first that Contours could do this job, however all the examples show closed shapes as opposed to my case where I need to match a open curve to a part of an edge.
So is there a way to do this either by using OpenCV or with any known code or algorithm that you would suggest?
Here are some images to illustrate the problem:

My first thought was Generalized Hough Transform. However I don't know any good implementation for that.
I would try SIFT or SURF first on the canny edge image. It usually is used to find 2d areas, not 1d contours, but if you take the minimum bounding box around your contour and use that as the search pattern, it should work.
OpenCV has an implementation for that:
Features2D + Homography to find a known object
A problem may be getting a good edge image, those black shapes in the back could be distracting.
Also see this Stackoverflow answer:
Image Processing: Algorithm Improvement for 'Coca-Cola Can' Recognition

Related

How to preprocess aerial image for coastline detection

I am working on a program that gets exact pixel values of the shoreline in a given image. What is the best way to preprocess these types of images in order to make my life easier?
A sample image:
I suppose that you want to be able to segment the land from the water this way defining a path for the shoreline.
For this task I recommend you using an edge detection algorithm. A simple vertical Sobel filter should be enough given the image that you have provided. More details about its insides and API call here.
Do you have images with different meteorological conditions? Your algorithm should be robust when it comes to different lighting scenarios: night, rain etc (if that is the case).
A thresholding with respect to the tones that you have in your image might also help, details here.
For a proper binarized image the following contour finding methods proposed by OpenCV should do the job for you.

Detecting hexagonal shapes in greyscale or binary image

For my bachelor thesis I need to analyse images taken in the ocean to count and measure the size of water particles.
my problem:
besides the wanted water particles, the images show hexagonal patches all over the image in:
- different sizes
- not regular shape
- different greyscale values
(Example image below!)
It is clear that these patches will falsify my image analysis concerning the size and number of particles.
For this reason this patches need to be detected and deleted somehow.
Since it will be just a little part of the work in my thesis, I don't want to spend much time in it and already tried classic ways like: (imageJ)
playing with the threshold (resulting in also deleting wanted water particles)
analyse image including the hexagonal patches and later sort out the biggest areas (the hexagonal patches have quite the biggest areas, but you will still have a lot of haxagons)
playing with filters: using gaussian filter on a duplicated image and subtract the copy from the original deletes many patches (in reducing the greyscale value) but also deletes little wanted water particles and so again falsifies the result
a more complicated and time consuming solution would be to use a implemented library in for example matlab or opencv to detect points, that describe the shapes.
but so far I could not find any code that fits my task.
Does anyone of you have created such a code I could use for my task or any other idea?
You can see a lot of hexagonal patches in different depths also.
the little spots with an greater pixel value are the wanted particles!
Image processing is quite an involved area so there are no hard and fast rules.
But if it was me I would 'Mask' the image. This involves either defining what you want to keep or remove as a pixel 'Mask'. You then scan the mask over the image recursively and compare the mask to the image portion selected. You then select or remove the section (depending on your method) if it meets your criterion.
One such example of a criteria would be the spatial and grey-scale error weighted against a likelihood function (eg Chi-squared, square mean error etc.) or a Normal distribution that you define the uncertainty..
Some food for thought
Maybe you can try with the Hough transform:
https://en.wikipedia.org/wiki/Hough_transform
Matlab have an built-in function, hough, wich implements this, but only works for lines. Maybe you can start from that and change it to recognize hexagons.

Finding cross on the image

I have set of binary images, on which i need to find the cross (examples attached). I use findcontours to extract borders from the binary image. But i can't understand how can i determine is this shape (border) cross or not? Maybe opencv has some built-in methods, which could help to solve this problem. I thought to solve this problem using Machine learning, but i think there is a simpler way to do this. Thanks!
Viola-Jones object detection could be a good start. Though the main usage of the algorithm (AFAIK) is face detection, it was actually designed for any object detection, such as your cross.
The algorithm is Machine-Learning based algorithm (so, you will need a set of classified "crosses" and a set of classified "not crosses"), and you will need to identify the significant "features" (patterns) that will help the algorithm recognize crosses.
The algorithm is implemented in OpenCV as cvHaarDetectObjects()
From the original image, lets say you've extracted sets of polygons that could potentially be your cross. Assuming that all of the cross is visible, to the extent that all edges can be distinguished as having a length, you could try the following.
Reject all polygons that did not have exactly 12 vertices required to
form your polygon.
Re-order the vertices such that the shortest edge length is first.
Create a best fit perspective transformation that maps your vertices onto a cross of uniform size
Examine the residuals generated by using this transformation to project your cross back onto the uniform cross, where the residual for any given point is the distance between the projected point and the corresponding uniform point.
If all the residuals are within your defined tolerance, you've found a cross.
Note that this works primarily due to the simplicity of the geometric shape you're searching for. Your contours will also need to have noise removed for this to work, e.g. each line within the cross needs to be converted to a single simple line.
Depending on your requirements, you could try some local feature detector like SIFT or SURF. Check OpenSURF which is an interesting implementation of the latter.
after some days of struggle, i came to a conclusion that the only robust way here is to use SVM + HOG. That's all.
You could erode each blob and analyze their number of pixels is going down. No mater the rotation scaling of the crosses they should always go down with the same ratio, excepted when you're closing down on the remaining center. Again, when the blob is small enough you should expect it to be in the center of the original blob. You won't need any machine learning algorithm or training data to resolve this.

Image Warp Filter - Algorithm and Rasterization

I'd like to implement a Filter that allows resampling of an image by moving a number of control points that mark edges and tangent directions. The goal is to be able to freely transform an image as seen in Photoshop when you use "Free Transform" and chose Warpmode "Custom". The image is fitted into a some kind of Spline-Patch (if that is a valid name) that can be manipulated.
I understand how simple splines (paths) work but how do you connect them to form a patch?
And how can you sample such a patch to render the morphed image? For each pixel in the target I'd need to know what pixel in the source image corresponds. I don't even know where to start searching...
Any helpful info (keywords, links, papers, reference implementations) are greatly appreciated!
This document will get you a good insight into warping: http://www.gson.org/thesis/warping-thesis.pdf
However, this will include filtering out high frequencies, which will make the implementation a lot more complicated but will give a better result.
An easy way to accomplish what you want to do would be to loop through every pixel in your final image, plug the coordinates into your splines and retrieve the pixel in your original image. This pixel might have coordinates 0.4/1.2 so you could bilinearly interpolate between 0/1, 1/1, 0/2 and 1/2.
As for splines: there are many resources and solutions online for the 1D case. As for 2D it gets a bit trickier to find helpful resources.
A simple example for the 1D case: http://www-users.cselabs.umn.edu/classes/Spring-2009/csci2031/quad_spline.pdf
Here's a great guide for the 2D case: http://en.wikipedia.org/wiki/Bicubic_interpolation
Based upon this you could derive an own scheme for splines for the 2D case. Define a bivariate (with x and y) polynomial and set your constraints to solve for the coefficients of the polynomial.
Just keep in mind that the borders of the spline patches have to be consistent (both in value and derivative) to avoid ugly jumps.
Good luck!

Template matching algorithms

Please suggest any template matching algorithms, which are independent of size and rotation.
(any source codes as examples if possible please)
EDIT 1:
Actually I understand how the algorithm works, we can resize template and rotate it. It is computationally expensive, but we can use image pyramids. But the real problem for me now is when the picture is made at some angle to object, so that only a perspective transform can correct the image. I mean that even if we rotate image or scale it, we will not get a good match if the object in image is perspectively transformed. Of course it is possible to try to generate many templates at different perspective, but I think it is very bad idea.
EDIT 2:
One more problem when using template matching based on shape matching.
What if image doesn't have many sharp edges? For example a plate or dish?
EDIT 3:
I've also heard about camera callibration for object detection. What is the algorithm used for that purpose? I don't understand how it can be used for template matching.
I don't think there is an efficient template matching algorithm that is affine-invariant (rotation+scale+translation).
You can make template matching somewhat robust to scale+rotation by using a distance transform (see Chamfering style methods). You should probably also look at SIFT and MSER to get a sense of how the research area has been shaped the past decade. But these are not template matching algorithms.
Check out this recent 2013 paper on efficient affine template matching: "Fast-Match". http://www.eng.tau.ac.il/~simonk/FastMatch/
Matlab code is available on that website. Basic idea is to exhaustively search the affine space, but do it in the sparsest way possible based on how smooth the image is. Has a formal approximation guarantee, although it won't always find the absolute best answer.

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