In this paper, we present a structural video for video retrieval with fractal orthogonal bases composed of the five steps: video summarization (extract key-frames from video), normalized group cuts (classify key-frames), temporal graph (according to key-frames time in video), transformation of a directed graph into string (the process of transformation is one-to-one mapping), and comparison of string similarity (contain of sting architecture and content), to establish the framework of the video contents. With the above-mentioned information, the structure of the video and its complementary knowledge can be built up according to main line and branch line. Therefore, users can not only browse the video efficiently but also focus on the structure what they are interest. In order to construct the fundamental system, we employ distortion metric that extract key-frames from video and classify key-frames according to normalized group cuts that shot are linked together based on their content. After constructing the relation graph, the graph is transformed into string that has enriched structure. The result clusters form a directed graph and a shortest path algorithm is proposed to find main structure of video. In string similarity, it divides into string architecture and content. In string architecture, we adopt edit distance in main structure and recursive branch line. After comparison of string similarity in architecture, it gets the high similarity string comparing with fractal orthogonal bases that guarantee the similar index has the similar image the characteristic union support vector clustering. The results demonstrate that our system can achieve better performance and information coverage.

Thesis (Ph.D.)--City University of Hong Kong, 2009. / "Submitted to Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy." Includes bibliographical references (leaves [95]-100)

This dissertation addresses the synthesis of oriented mesoporous ceramic films by evaporation induced self-assembly of surfactants and ceramic precursors in films dip coated from ethanol-rich sols. First, the kinetics of silica polycondensation in surfactant templated sol-gel films is studied both before and after deposition using infrared spectroscopy. These observations reveal an induction time (with minimal condensation rate) before curing begins in certain surfactant-templated silica films, which can be utilized to perform post-synthesis modification. This induction time is maximized at high humidity, and by long nonionic surfactant headgroups (rather than, for instance, a trimethylammonium headgroup). The second part of the dissertation addresses lattice Monte Carlo (MC) simulation of the effects of confinement on the 2D hexagonally close packed (HCP) phase formed by 60 vol% surfactant in a polar solvent. The effects of size and type of confining geometry (slit, cylindrical and spherical cavities) and of surface chemistry are simulated. The HCP mesophase orients orthogonal to chemically neutral surfaces which attract both head and tail of the surfactant equally. Novel mesophase geometries are simulated including radially oriented micelles, concentric helices, and concentric porous shells. Utilizing fundamental insights from the kinetics and MC studies, the third part of the dissertation describes the synthesis of silica films with orthogonally tilted HCP mesophase on chemically neutral surfaces. Crosslinking a random copolymer of polyethylene oxide (PEO)-polyproplyene oxide (PPO) on glass slides results in chemically neutral surfaces for the PEO-PPO-PEO triblock copolymer template (P123) used here. The orthogonal orientation of the HCP channels is confirmed using advanced x-ray scattering techniques and electron microscopy. The final part of the dissertation discusses applications of ceramic films with orthogonally tilted (ortho-) HCP mesophase. Silica membranes with ortho-HCP pores are prepared on porous alumina supports, and show permeability of ethanol orders of magnitude greater than films with parallel-oriented HCP channels. Size-selective filtration of gold nanoparticles confirms the absence of any nanoscale cracks in the membranes. For a second application, we prepare titania films with ortho-HCP mesopores. Careful crystallization of the films followed by spinning on an organic hole conducting polymer (P3HT) leads to active bulk heterojunction solar cells.

The central object of the study in this thesis is ΩO(<I>n</I>), the space of closed continuous loops on an orthogonal group O(<I>n</I>) based at the identity-element 1 Ε O(<I>n</I>). The space ΩO(<I>n</I>) carries a group structure given by pointwise multiplication of paths in the group O(<I>n</I>). This makes it an infinite dimensional Lie group. A filtration of ΩO(<I>n</I>), more precisely of the subspace of 'polynomial' loops, is constructed. This can be thought of as the 'real' analogue of the Mitchell-Richter filtration of ΩSU(<I>n</I>). Our filtration of ΩO(<I>n</I>) splits stably and O(<I>n</I>)-equivariantly in the cases <I>n</I> = 3, 4. We obtain: In contrast to the complex case no general splitting result can hold (this follows from work by Hopkins on stable indecomposability of ΩSp(2)). The thesis also investigates the topology of the loopspace of a real Stiefel-manifold. A stable O(<I>n</I>)-equivariant splitting for the fibrewise loop-space of a projective bundle is used to give a splitting for the free loop-space LRP<I>ⁿ</I> on a real projective space.

No description available.

Thesis (Ph. D.)--University of Adelaide, Dept. of Mathematical Physics, 1974. / Includes bibliographical references (leaves 154-158).

Thesis (Ph.D.)--University of Texas at Dallas, 2008. / Includes vita. Includes bibliographical references (leaves 93-98)

Thesis (Ph. D.)--University of Hong Kong, 2008. / Includes bibliographical references (leaf 88-99) Also available in print.

Thesis (Ph. D.)--University of Pennsylvania, 1934. / Bibliography: p. 29.

Thesis (Ph. D.)--University of Wisconsin--Madison, 1966. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.