This paper introduces a new, fully recursive algorithm for computing moving frames and differential invariants of Lie pseudo-group actions. The recursive method avoids unwieldy symbolic expressions that complicate the treatment of large scale applications of the equivariant moving frame method. The development leads to novel results on partial moving frames, structure equations, and new differe...

We present a novel framework for motion segmentation that combines the concepts of layer-based methods and featurebased motion estimation. We estimate the initial correspondences by comparing vectors of filter outputs at interest points, from which we compute candidate scene relations via random sampling of minimal subsets of correspondences. We achieve a dense, piecewise smooth assignment of p...

In this paper, we describe situation calculus with aspect, which is an extension of the classical situation calculus. The new approach allows eecient representation of the frame axioms and partially ordered plans. In S.C. with aspect, uents and actions are associated with aspects. The frame axioms are replaced by axioms that describe the interference relation between aspects. A plan is represen...

This paper presents an existence proof for symmetric modulating pulse solutions of a quasilinear wave equation. Modulating pulse solutions consist of a pulse-like envelope advancing in the laboratory frame and modulating an underlying wave-train; they are also referred to as ‘moving breathers’ since they are time-periodic in a moving frame of reference. The problem is formulated as an infinite-...

We present a straightforward and reliable continuous method for computing the full or a partial Lyapunov spectrum associated with a dynamical system specified by a set of differential equations. We do this by introducing a stability parameter β > 0 and augmenting the dynamical system with an orthonormal k-dimensional frame and a Lyapunov vector such that the frame is continuously Gram-Schmidt o...

Recovering missing data from its partial samples is a fundamental problem in mathematics and it has wide range of applications in image and signal processing. While many such algorithms have been developed recently, there are very few papers available on their error estimations. This paper is to analyze the error of a frame based data recovery approach from random samples. In particular, we est...

We present a method for automatic textual annotation of compressed video. Initially, cuts are detected in the video sequence where consecutive frames show a large difference. Key frames are then extracted to represent each shot. A video sequence is, thus, condensed into a few images, hence this forms a compact key frame representation of the video. Each key frame is compared with an annotated d...

Tracking humans is a diicult problem because of the non-rigid nature of the human body, and the frequent occlusion encountered among people. We present a framework to track multiple people in a xed camera situation. Our framework deals implicitly with occlusion, and is able to correctly label people during occlusion. We rst segment a person into classes of similar color using the Expectation Ma...

ABSTRACT: The visual tracking is the major process in finding the spot of moving object over time using a camera. Object tracking is challenging task when the object moves fast relative to the frame rate. The active contour algorithm is used for tracking the object in a given frame of an image sequence. In videos particular object motion can be tracked by using stationary cameras but in moving ...

The visual tracking is the major process in finding the spot of moving object over time using a camera. Object tracking is challenging task when the object moves fast relative to the frame rate. The active contour algorithm is used for tracking the object in a given frame of an image sequence. In videos particular object motion can be tracked by using stationary cameras but in moving camera the...