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Although a number of normalized edit distances presented so far may offer good performance in some applications, none of them can be regarded as a genuine metric between strings because they do not satisfy the triangle inequality. Given two strings X ...
Analyzing Image Structure by Multidimensional Frequency Modulation
We develop a mathematical framework for quantifying and understanding multidimensional frequency modulations in digital images. We begin with the widely accepted definition of the instantaneous frequency vector (IF) as the gradient of the phase and ...
Gaussian Mean-Shift Is an EM Algorithm
The mean-shift algorithm, based on ideas proposed by Fukunaga and Hostetler [16], is a hill-climbing algorithm on the density defined by a finite mixture or a kernel density estimate. Mean-shift can be used as a nonparametric clustering method and has ...
A Lattice-Based MRF Model for Dynamic Near-Regular Texture Tracking
A near-regular texture (NRT) is a geometric and photometric deformation from its regular origin—a congruent wallpaper pattern formed by 2D translations of a single tile. A dynamic NRT is an NRT under motion. Although NRTs are pervasive in man-made and ...
Integrating Motion, Illumination, and Structure in Video Sequences with Applications in Illumination-Invariant Tracking
In this paper, we present a theory for combining the effects of motion, illumination, 3D structure, albedo, and camera parameters in a sequence of images obtained by a perspective camera. We show that the set of all Lambertian reflectance functions of a ...
The Asymmetry of Image Registration and Its Application to Face Tracking
Most image registration problems are formulated in an asymmetric fashion. Given a pair of images, one is implicitly or explicitly regarded as a template and warped onto the other to match as well as possible. In this paper, we focus on this seemingly ...
Robust Object Matching for Persistent Tracking with Heterogeneous Features
This paper addresses the problem of matching vehicles across multiple sightings under variations in illumination and camera poses. Since multiple observations of a vehicle are separated in large temporal and/or spatial gaps, thus prohibiting the use of ...
An Efficient Earth Mover's Distance Algorithm for Robust Histogram Comparison
We propose EMD-L_{1}: a fast and exact algorithm for computing the Earth Mover's Distance (EMD) between a pair of histograms. The efficiency of the new algorithm enables its application to problems that were previously prohibitive due to high time ...
Sharing Visual Features for Multiclass and Multiview Object Detection
We consider the problem of detecting a large number of different classes of objects in cluttered scenes. Traditional approaches require applying a battery of different classifiers to the image, at multiple locations and scales. This can be slow and can ...
Photo-Consistent Reconstruction of Semitransparent Scenes by Density-Sheet Decomposition
This paper considers the problem of reconstructing visually realistic 3D models of dynamic semitransparent scenes, such as fire, from a very small set of simultaneous views (even two). We show that this problem is equivalent to a severely ...
Laplacian Operator-Based Edge Detectors
Laplacian operator is a second derivative operator often used in edge detection. Compared with the first derivative-based edge detectors such as Sobel operator, the Laplacian operator may yield better results in edge localization. Unfortunately, the ...
Part-Based Object Retrieval in Cluttered Environment
A novel local structural approach, which is a sequel to our previous work, is proposed in this paper for object retrieval in a cluttered and occluded environment without identifying the outlines of an object. It works by first extracting consistent and ...
Equivalence of Some Common Linear Feature Extraction Techniques for Appearance-Based Object Recognition Tasks
Recently, a number of empirical studies have compared the performance of PCA and ICA as feature extraction methods in appearance-based object recognition systems, with mixed and seemingly contradictory results. In this paper, we briefly describe the ...
Robust Pose Estimation and Recognition Using Non-Gaussian Modeling of Appearance Subspaces
We present an original appearance model that generalizes the usual Gaussian visual subspace model to non-Gaussian and nonparametric distributions. It can be useful for the modeling and recognition of images under difficult conditions such as large ...
Twin Support Vector Machines for Pattern Classification
We propose Twin SVM, a binary SVM classifier that determines two nonparallel planes by solving two related SVM-type problems, each of which is smaller than in a conventional SVM. The Twin SVM formulation is in the spirit of proximal SVMs via generalized ...