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Feature Matching with FLANN {#tutorial_feature_flann_matcher}
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===========================
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Goal
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----
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In this tutorial you will learn how to:
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- Use the @ref cv::FlannBasedMatcher interface in order to perform a quick and efficient matching
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by using the @ref flann module
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\warning You need the <a href="https://github.com/opencv/opencv_contrib">OpenCV contrib modules</a> to be able to use the SURF features
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(alternatives are ORB, KAZE, ... features).
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Theory
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------
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Classical feature descriptors (SIFT, SURF, ...) are usually compared and matched using the Euclidean distance (or L2-norm).
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Since SIFT and SURF descriptors represent the histogram of oriented gradient (of the Haar wavelet response for SURF)
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in a neighborhood, alternatives of the Euclidean distance are histogram-based metrics (\f$ \chi^{2} \f$, Earth Mover’s Distance (EMD), ...).
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Arandjelovic et al. proposed in @cite Arandjelovic:2012:TTE:2354409.2355123 to extend to the RootSIFT descriptor:
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> a square root (Hellinger) kernel instead of the standard Euclidean distance to measure the similarity between SIFT descriptors
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> leads to a dramatic performance boost in all stages of the pipeline.
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Binary descriptors (ORB, BRISK, ...) are matched using the <a href="https://en.wikipedia.org/wiki/Hamming_distance">Hamming distance</a>.
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This distance is equivalent to count the number of different elements for binary strings (population count after applying a XOR operation):
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\f[ d_{hamming} \left ( a,b \right ) = \sum_{i=0}^{n-1} \left ( a_i \oplus b_i \right ) \f]
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To filter the matches, Lowe proposed in @cite Lowe:2004:DIF:993451.996342 to use a distance ratio test to try to eliminate false matches.
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The distance ratio between the two nearest matches of a considered keypoint is computed and it is a good match when this value is below
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a threshold. Indeed, this ratio allows helping to discriminate between ambiguous matches (distance ratio between the two nearest neighbors
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is close to one) and well discriminated matches. The figure below from the SIFT paper illustrates the probability that a match is correct
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based on the nearest-neighbor distance ratio test.
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Alternative or additional filterering tests are:
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- cross check test (good match \f$ \left( f_a, f_b \right) \f$ if feature \f$ f_b \f$ is the best match for \f$ f_a \f$ in \f$ I_b \f$
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and feature \f$ f_a \f$ is the best match for \f$ f_b \f$ in \f$ I_a \f$)
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- geometric test (eliminate matches that do not fit to a geometric model, e.g. RANSAC or robust homography for planar objects)
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Code
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----
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@add_toggle_cpp
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This tutorial code's is shown lines below. You can also download it from
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[here](https://github.com/opencv/opencv/tree/master/samples/cpp/tutorial_code/features2D/feature_flann_matcher/SURF_FLANN_matching_Demo.cpp)
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@include samples/cpp/tutorial_code/features2D/feature_flann_matcher/SURF_FLANN_matching_Demo.cpp
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@end_toggle
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@add_toggle_java
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This tutorial code's is shown lines below. You can also download it from
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[here](https://github.com/opencv/opencv/tree/master/samples/java/tutorial_code/features2D/feature_flann_matcher/SURFFLANNMatchingDemo.java)
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@include samples/java/tutorial_code/features2D/feature_flann_matcher/SURFFLANNMatchingDemo.java
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@end_toggle
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@add_toggle_python
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This tutorial code's is shown lines below. You can also download it from
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[here](https://github.com/opencv/opencv/tree/master/samples/python/tutorial_code/features2D/feature_flann_matcher/SURF_FLANN_matching_Demo.py)
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@include samples/python/tutorial_code/features2D/feature_flann_matcher/SURF_FLANN_matching_Demo.py
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@end_toggle
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Explanation
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-----------
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Result
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------
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- Here is the result of the SURF feature matching using the distance ratio test:
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