A strategy based on non-extensive statistics to improve frame-matching algorithms under large viewpoint changes.

In recent decades, methods to find invariant points in digital images, called fiducial points, have gained great attention, mainly due to the demands of several applications in computer vision and image processing, such as the geometric matching of global structures, objects or specific regions. Among the most well known approaches are algorithms like SIFT, HOG, SURF, and their variations as A-SIFT, PCA-SIFT, surrounded by many others. Though the number of researches demonstrating the efficiency of such methods is undoubtedly enormous, the vast majority compares their performances only on pairs of images with little changes in view perspectives, objects or specific regions of the scenes. Thereby, the study of this type of technique under large viewpoint changes, called here LVC, has received little attention from the researchers. On the other hand, with the aim of filtering points of interest, most techniques have used the traditional extensive statistics. However, methods for image processing based on a new type of statistics, called non-extensive statistics, have shown to be efficient in several applications. In this paper, we present a new method, called q -SIFT, based on the non-extensive Tsallis statistics, to find fiducial points in a sequence of frames of videos under large viewpoints changes. We experimentally show the efficiency of the proposed method in video databases and propose new measurement metrics for this type of algorithm. • We present a method for Fiducial Point Description based on non-extensive physical systems. • We test the proposed method under what we call severe conditions, little tested in the literature. • We compare the proposed method with the main methods found in the literature, showing that the proposed method surpasses all others. • We present a new methodology to measure the performance of the studied algorithms. • We show that the database used represents non-extensive physical systems. [ABSTRACT FROM AUTHOR]