The Web allows self-regulated learning through interaction with large amounts of learning resources. While enjoying the flexibility of learning, learners may suffer from cognitive overload and conceptual and navigational disorientation when faced with various information resources under disparate topics and complex knowledge structures. This study proposed a knowledge visualization (KV) approac...

Motion in depth and/or zooming cause defocus blur. We show how the defocus blur in an image can be recovered simultaneously with affine motion. We introduce the theory, develop a solution method and demonstrate the validity of the theory and the solution by conducting experiments with real scenery.

The most natural kinetic data structure for maintaining the maximum of a collection of continuously changing numbers is the kinetic heap. Basch, Guibas, and Ramkumar proved that the maximum number of events processed by a kinetic heap with n numbers changing as linear functions of time is O(n log n) and Ω(n log n). We prove that this number is actually Θ(n log n). In the kinetic heap, a linear ...

3

Although a fairly new topic in the context of cyber security, situation awareness (SA) has a far longer history of study and applications in such areas as control of complex enterprises and in conventional warfare. Far more is known about the SA in conventional military conflicts, or adversarial engagements, than in cyber ones. By exploring what is known about SA in conventional – also commonly...

This paper presents region-based a ne motion parameter clustering methods by motion-vector and intensity matching to provide improved robustness and alignment of motion boundaries with real object boundaries. Regions may be formed as xedor variable-size rectangular blocks, triangular patches, or arbitrary-shaped areas de ned by color or texture uniformity. A particular combination of these a ne...

We prove the existence of a solution to the degenerate parabolic Cauchy problem with a possibly unbounded Radon measure as an initial data. To accomplish this, we establish a priori estimates and derive a compactness result. We also show that the result is optimal in the Euclidian setting.

I prove that the solutions of the phase-field equations, on a subsequence, converge to a weak solution of the Mullins-Sekerka problem with kinetic undercooling. The method is based on energy estimates, a monotonicity formula, and the equipartition of the energy at each time. I also show that for almost all t, the limiting interface is ( d 1)-rectifiable with a square-integrable mean-curvature v...

The Copernican principle remains largely unproven at Gpc radial scale and above. Generally, violations of this type cause a first-order anisotropic kinetic Sunyaev Zel'dovich (kSZ) effect. Here we show that, if large-scale radial inhomogeneities have amplitude large enough to explain the 'dark energy' phenomena, the induced kSZ power spectrum will be orders of magnitude larger than the Atacama ...