Assigned: Wednesday, April 8 , 2015
Due: 6pm, April 22, 2015
In this project, you will write code to detect discriminating features in an image and find the best matching features in other images. Your features should be reasonably invariant to translation, rotation, illumination, and scale, and you'll evaluate their performance on a suite of benchmark images. We'll rank the performance of features that students in the class come up with, and compare them with the current state-of-the-art.
In project 2, you will apply your features to automatically stitch images into a panorama.
To help you visualize the results and debug your program, we provide a working user interface that displays detected features and best matches in other images. We also provide sample feature files that were generated using SIFT, the current best of breed technique in the vision community, for comparison.
The project has three parts: feature detection, description, and matching.
In this step, you will identify points of interest in the image using the Harris corner detection method. The steps are as follows (see the lecture slides/readings for more details) For each point in the image, consider a window of pixels around that point. Compute the Harris matrix H for that point, defined as
where the summation is over all pixels p in the
window. The weights should
be chosen to be rotationally symmetric (for rotation invariance). A common
choice is to use a 3x3 or 5x5 Gaussian mask.
Note that H is a 2x2 matrix. To find interest points, first compute the corner strength function
Once you've computed c for every point in the image, choose points where c is above a threshold. You also want c to be a local maximum in at least a 3x3 neighborhood.
Now that you've identified points of interest, the next step is to come up with a descriptor for the feature centered at each interest point. This descriptor will be the representation you'll use to compare features in different images to see if they match.
For starters, try using a small square window (say 5x5) as the feature descriptor. This should be very easy to implement and should work well when the images you're comparing are related by a translation.
Next, try implementing a better feature descriptor. You can define it however you want, but you should design it to be robust to changes in position, orientation, and illumination. You are welcome to use techniques described in lecture (e.g., detecting dominant orientations, using image pyramids), or come up with your own ideas.
Now that you've detected and described your features, the next step is to
write code to match them, i.e., given a feature in one image, find the best
matching feature in one or more other images. This part of the feature
detection and matching component is mainly designed to help you test out your
feature descriptor. You will implement a more sophisticated feature
matching mechanism in the second component when you do the actual image
alignment for the panorama.
The simplest approach is the following: write a procedure that
compares two features and outputs a distance between them. For
example, you could simply sum the absolute value of differences between the
descriptor elements. You could then use this distance to compute the best match
between a feature in one image and the set of features in another image by
finding the one with the smallest distance. Two possible distances are:
1. use a threshold on the match score. This
is called the SSD distance, and is implemented for you as match type 1, in the
function sshMatchFeatures.
2. compute (score of the best feature
match)/(score of the second best feature match). This is called the "ratio
test"; you must implement this distance.
Now you're ready to go! Using the UI and skeleton code that we provide, you can load in a set of images, view the detected features, and visualize the feature matches that your algorithm computes.
We are providing a set of benchmark images to be used to test the performance of your algorithm as a function of different types of controlled variation (i.e., rotation, scale, illumination, perspective, blurring). For each of these images, we know the correct transformation and can therefore measure the accuracy of each of your feature matches. This is done using a routine that we supply in the skeleton code.
You should also go out and take some photos of your own to see how well your approach works on more interesting data sets. For example, you could take images of a few different objects (e.g., books, offices, buildings, etc.) and see if it can "recognize" new images.
Follow these steps to get started quickly:
1. Download
the skeleton code here.
The FLTK library is compiled and linked in the solution, if it does not work, please download FLTK 1.3.3 and install it in your system.
2. Download some image sets for plotting ROC curves: graf, Yosemite.
Included with these images are some SIFT feature files and image database
files.
3. Download
some image sets for benchmark: graf, leuven, bikes,
wall
Included with these images are some SIFT feature files and image database
files.
4. Download the solution EXE here (try feature type 2 and match type 2).
After compiling and linking the skeleton code, you will have an executable Features This can be run in several ways:
with no command line options starts the GUI. Inside the GUI, you can load a query image and its corresponding feature file, as well as an image database file, and search the database for the image which best matches the query features. You can use the mouse buttons to select a subset of the features to use in the query.
Until you write your feature matching routine, the features are matched by minimizing the SSD distance between feature vectors.
We have given you a number of classes and methods to help get you started. The only code you need to write is for your feature detection methods and your feature matching methods, all in features.cpp. Then, you should modify computeFeatures and matchFeatures in the file features.cpp to call the methods you have written. We have provided a function dummyComputeFeatures that shows how to create the code to detect and describe features, as well as integrate it into the system. The function ssdMatchFeatures implements a feature matcher which uses the SSD distance, and demonstrates how a matching function should be implemented. The function ComputeHarrisFeatures is the main function you will complete, along with the helper functions computeHarrisValues and computeLocalMaxima. You will also implement the function ratioMatchFeatures for matching features using the ratio test.
You will also need to generate plots of the ROC curves and report the areas under the ROC curves (AUC) for your feature detecting and matching code (using the 'roc' option of Features.exe), and for SIFT. For both the Yosemite test images (Yosemite1.jpg and Yosemite2.jpg), and the graf test images (img1.ppm and img2.ppm), create a plot with six curves, two using the simple window descriptor and your own feature descriptor with the SSD distance, two using the simple window descriptor and your own feature descriptor with the ratio test distance, and the other two using SIFT (with both the SSD and ratio test distances; these curves are provided to you in the zip files for Yosemite and graf provided above).
We have provided scripts for creating these plots using the 'gnuplot' tool. You can download a copy of Gnuplot to your own machine. To generate a plot with gnuplot (using a gnuplot script 'script.txt', simply run 'gnuplot script.txt', and gnuplot will output an image containing the plot. The two scripts we provide are:
plot.roc.txt: plots the ROC curves for the SSD distance and the ratio test distance. These assume the two roc datafiles are called 'roc1.txt' (for the SSD distance), and 'roc2.txt' (for the ratio test distance). You will need to edit this script if your files are named differently. This script also assumes 'roc1.sift.txt' and 'roc2.sift.txt' are in the current directory (these files are provided in the zip files above). This script generates an image named 'plot.roc.png'.
plot.threshold.txt: plots the threshold on the x-axis and 'TP rate - FP rate' on the x-axis. The maximum of this function represents a point where the true positive rate is large relative to the false positive rate, and could be a good threshold to pick for the computeMatches step. This script generates an image named 'plot.threshold.png.'
Finally, you will need to report the average AUC for your feature detecting and matching code (using the 'benchmark' option of Features.exe) on four benchmark sets : graf, leuven, bikes and wall.
First, your source code and executable should be placed in the project1 code directory.
In addition, turn in a web page describing your approach and results. In particular:
1.
You
will need to compute two sets of 6 ROC curves and post them on your web page as
described in the above TO DO section. You can learn more about ROC curves from
the class slides and on the web here
and here.
2.
For
one image each in both the
3.
Report
the average AUC for your feature detecting (both simple 5x5 window
descriptor and your own new descriptor) and matching code (both SSD and ratio
tests) on four benchmark sets graf, leuven, bikes and wall.
We'll tabulate the best performing features and present them to the class.
The web-page should be placed in the artifact directory along with all the images in JPEG format. If you are unfamiliar with HTML you can use any web-page editor such as FrontPage, Word, or Visual Studio to make your web-page. Here are some tips
Note: For full grade your descriptor needs to be robust to changes in position, rotation and illumination.
Here is a list of suggestions for extending the program for extra credit. You are encouraged to come up with your own extensions as well!