Advancements in video coding, compact media display, and communication devices, particularly in emerging broadband wireless access networks, have created many foreseeable and exciting applications of video broadcast/multicast over the wireless meidum. For efficient and robust wireless video broadcast/multicast under fading, this thesis presents and examines a novel cross-layer framework that exploits the interplay between applying protections on a successively refinable video source and transmitting through a layered broadcast/multicast channel. The framework is realistically achieved and evaluated by using multiple description coding (MDC) on a scalable video source and using superposition coding (SPC) for layered broadcast/multicast transmissions. An analytical model using the total received/recovered video bitstreams from each coded wireless broadcast/multicast signal is developed, which serves as a metric of video quality for the system analysis and optimization. An efficient methodology has demonstrated that optimal power allocations and modulation selections can be practically determined to improve the broadcast/multicast video quality. From the information-theoretical perspective, a general closed-form formula is derived for the end-to-end distortion analysis of the proposed framework, which is applicable to any (n, k) protection code applied on a successive refinable source with a Gaussian distribution over layered Gaussian broadcast channels. The results reveal the scenarios for the proposed framework to lead to a lower distortion than a legacy system without any protection. By analyzing the characteristics of the closed-form formula, an efficient O(n log n) algorithm is developed to determine optimal k values in the (n, k) protection codes that minimize the distortion under the framework. Finally, a cross-layer design of logical SPC modulation is introduced to achieve layered broadcast/multicast for scalable video. It serves as an alternative for practically implementing the proposed framework of coded wireless video broadcast/multicast, if the hardware-based SPC component is not available in a wireless system. In summary, the thesis presents comprehensive analyses, simulations, and experiments to understand, investigate, and justify the effectiveness of the proposed cross-layer framework of coded wireless video broadcast/multicast. More importantly, this thesis contributes to the advancement in the related fields of communication engineering and information theory by introducing a new design dimension in terms of protection. This is unique when compared to previously-reported layered approaches that are often manipulating conventional parameters alone such as power and modulation scheme. The impact of this dimension was unapparent in the past, but is now proven as an effective means to enable high-quality, efficient, and robust wireless video broadcast/multicast for promising media applications.

Advancements in video coding, compact media display, and communication devices, particularly in emerging broadband wireless access networks, have created many foreseeable and exciting applications of video broadcast/multicast over the wireless meidum. For efficient and robust wireless video broadcast/multicast under fading, this thesis presents and examines a novel cross-layer framework that exploits the interplay between applying protections on a successively refinable video source and transmitting through a layered broadcast/multicast channel. The framework is realistically achieved and evaluated by using multiple description coding (MDC) on a scalable video source and using superposition coding (SPC) for layered broadcast/multicast transmissions. An analytical model using the total received/recovered video bitstreams from each coded wireless broadcast/multicast signal is developed, which serves as a metric of video quality for the system analysis and optimization. An efficient methodology has demonstrated that optimal power allocations and modulation selections can be practically determined to improve the broadcast/multicast video quality. From the information-theoretical perspective, a general closed-form formula is derived for the end-to-end distortion analysis of the proposed framework, which is applicable to any (n, k) protection code applied on a successive refinable source with a Gaussian distribution over layered Gaussian broadcast channels. The results reveal the scenarios for the proposed framework to lead to a lower distortion than a legacy system without any protection. By analyzing the characteristics of the closed-form formula, an efficient O(n log n) algorithm is developed to determine optimal k values in the (n, k) protection codes that minimize the distortion under the framework. Finally, a cross-layer design of logical SPC modulation is introduced to achieve layered broadcast/multicast for scalable video. It serves as an alternative for practically implementing the proposed framework of coded wireless video broadcast/multicast, if the hardware-based SPC component is not available in a wireless system. In summary, the thesis presents comprehensive analyses, simulations, and experiments to understand, investigate, and justify the effectiveness of the proposed cross-layer framework of coded wireless video broadcast/multicast. More importantly, this thesis contributes to the advancement in the related fields of communication engineering and information theory by introducing a new design dimension in terms of protection. This is unique when compared to previously-reported layered approaches that are often manipulating conventional parameters alone such as power and modulation scheme. The impact of this dimension was unapparent in the past, but is now proven as an effective means to enable high-quality, efficient, and robust wireless video broadcast/multicast for promising media applications.

Microstructure refinement was observed in the fusion zone of AZ31 magnesium (Mg) alloy resistance spot welds when an inoculant was added, either Ti, Al8Mn5, or Mn. The dependence of inoculant potency on the lattice disregistry between inoculants and matrix, and on the liquid cooling rate was studied. Microstructural characterization was performed via optical microscopy, scanning electron microscopy (SEM), and transmission electron microscopy (TEM). Thin foils containing the interface of the inoculant particles and Mg matrix were prepared using a focused ion beam (FIB) technique. Columnar dendritic structures in the vicinity of the fusion boundary and equiaxed dendritic structures in the central area were observed in the fusion zone of welds in the SA and SB AZ31Mg alloys from different suppliers. However, the columnar dendritic zone (CDZ) was well restricted, and the width of the CDZ and the diameters of equiaxed dendrites were much smaller in the SA alloy than those in the SB alloy due to the earlier columnar-equiaxed-transition (CET) in the SA alloy. The refined microstructure in the fusion zone of the SA alloy welds is attributed to the pre-existence of the larger Al8Mn5 particles of 4-10 microns in length in the SA alloy which act as an inoculant for alpha-Mg heterogeneous nucleation. Fatigue life and dislocation substructure were compared between the SA and SB welds. The SA welds with the refined microstructure displayed an enhanced fatigue resistance compared to the SB welds, when the interfacial failure took place across the fusion zone. The increased number and dispersion of slip systems in the fine-grained SA welds contributed to the improvement of fatigue life. The well-developed columnar dendritic grains were successfully restricted and the coarse equiaxed dendritic grains were efficiently refined by intentionally adding Ti or Mn inoculant particles into the as-received SB alloy welds. The Ti and Mn particles of about 8μm diameter were observed to promote the nucleation of alpha-Mg grains during welding. TEM examinations showed the existence of local orientation relationships between the respective inoculants Ti, Mn, and Al8Mn5 with the Mg matrix. The further lattice matching was observed between the Al8Mn5 particles and Mg. The diameter of the added inoculant should be larger than 1.8 microns to make it a potent inoculant based on the thermodynamic calculation. Microstructural examinations of samples with different inoculant additions and under different cooling rates showed that the inoculant potency was high for the Ti inoculant, medium for the Al8Mn5, but low for the Mn, when the cooling rate was low. This order in the decrease of grain refinement efficiency is inversely proportional with the order of crystallographic lattice disregistry between inoculants and matrix, which is calculated based on a crystallographic matching model. This implies that the lattice disregistry determines the potency of inoculants at the low cooling rates. In comparison, the lattice disregistry did not influence the heterogeneous nucleation, when the cooling rate was high. It could be inferred that an extremely high cooling rate produces a large supercooling, and provides a sufficient driving force for heterogeneous nucleation.

The SUMO protein was named Small Ubiquitin-like MOdifier because its 3-D structure was similar to Ubiquitin. In human, three SUMO proteins were discovered, namely, SUMO-1/2/3. The recombinant ¡µ1-8, 94-95 SUMO-2 protein with 10 histidine residues at its N-terminus was expressed using E. coli. BL-21(DE3), purified at 4 oC and crystallized at room temperature. The surface properties of human SUMO-1/2/3 proteins and 3-D structure of ¡µ1-8, 94-95 SUMO-2 protein were analyzed using computer modeling and X-ray diffraction technology respectively. The two-step purification by immobilized metal ion affinity chromatography(IMAC) was developed to yield ¡µ1-8, 94-95 SUMO-2 protein that reached 60 mg/ml for crystallization. On protein expression, 120 mg protein was obtained from 6 L bacterial growth broth. Crystals of ¡µ1-8, 94-95 SUMO-2 were obtained by the hanging-drop vapor diffusion method and many different crystal forms were observed. One of single crystal with triangular plate polyhedron form diffracted to 1.6 Å resolution, the other one with rectangular polyhedron form diffracted to 1.2 Å. Analysis of the diffraction pattern suggests the crystals belong to R3 space group, the former one owned unit cell parameters a= b=75.3 Å, c=29.2 Å, £\=90¢X, £]=90¢X,£^=120¢X, and the later one owned unit cell parameters a= b=74.9 Å, c=33.2 Å and the same angles respectively. The R factor and Rfree of refinement are 0.133 and 0.190 with highly precise phase on 3-D structure of SUMO-2 protein. Comparison of crystal structure between human SUMO-2 and yeast SMT3 showed that the r.m.s. deviation of C£\ coordinate is 1.054 Å. In addition, comparison of SUMO-1 NMR structure and SMT3 crystal structure showed that the r.m.s. deviation of C£\ coordinates is 2.736 Å. Hence, the structures of SUMO-2 and SMT3 are more similar each other than those of SUMO-1and SMT3.

In the thesis work, a code to solve the two dimensional compressible Euler equations for external flows around arbitrary geometries have been developed. A Cartesianmesh generator is incorporated to the solver. Hence the pre-processing can be performed together with the solution within a single code. The code is written in the C++ programming language and its object oriented capabilities have been exploited to save memory in the data structure developed. The Cartesian mesh is formed by dividing squares successively into its four quadrants. The main advantage of using this type of a mesh is the ability to generate meshes around geometries of arbitrary complexity quickly and to adapt the mesh easily based on the solution. The main disadvantage of this method is that the treatment of the cells that are cut by the geometry. For the solution procedure Roe&rsquo / s method as well as flux vector splitting methods are used for the flux evaluation. The flux vector splitting schemes used are van Leer, AUSM, AUSMD and AUSMV methods. Time discretization is performed using a multi-stage method. To increase the accuracy least squares reconstruction is employed. The code is validated by performing calculations around a NACA0012 airfoil profile. The effect of reconstruction is demonstrated by plotting the pressure coefficient on the airfoil. The distribution obtained using reconstruction is very close to the experimental one while there is a considerable deviation for the case without reconstruction. Also the shock capturing capabilities of different methods have been investigated. In addition the performance of each method is analyzed for flow around an NLR 7301 airfoil with a flap.

Image annotation could be defined as the process of assigning a set of content related words to the image. An automatic image annotation system constructs the relationship between words and low level visual descriptors, which are extracted from images and by using these relationships annotates a newly seen image. The high demand on image annotation requirement increases the need to automatic image annotation systems. However, performances of current annotation methods are far from practical usage. The most common problem of current methods is the gap between semantic words and low level visual descriptors. Because of the semantic gap, annotation results of these methods contain irrelevant noisy words. To give more relevant results, refinement methods should be applied to classical image annotation outputs. In this work, we represent a novel refinement approach for image annotation problem. The proposed system attacks the semantic gap problem by using the relationship between the words which are obtained from the dataset. Establishment of this relationship is the most crucial problem of the refinement process. In this study, we suggest a probabilistic and fuzzy approach for modelling the relationship among the words in the vocabulary, which is then employed to generate candidate annotations, based on the output of the image annotator. Candidate annotations are represented by a set of relational graphs. Finally, one of the generated candidate annotations is selected as a refined annotation result by using a clique optimization technique applied to the candidate annotation graph.

Many real-life applications such as the shape optimization of technological devices, the identification of parameters in environmental processes and flow control problems lead to optimization problems governed by systems of convection diusion partial dierential equations (PDEs). When convection dominates diusion, the solutions of these PDEs typically exhibit layers on small regions where the solution has large gradients. Hence, it requires special numerical techniques, which take into account the structure of the convection. The integration of discretization and optimization is important for the overall eciency of the solution process. Discontinuous Galerkin (DG) methods became recently as an alternative to the finite dierence, finite volume and continuous finite element methods for solving wave dominated problems like convection diusion equations since they possess higher accuracy. This thesis will focus on analysis and application of DG methods for linear-quadratic convection dominated optimal control problems. Because of the inconsistencies of the standard stabilized methods such as streamline upwind Petrov Galerkin (SUPG) on convection diusion optimal control problems, the discretize-then-optimize and the optimize-then-discretize do not commute. However, the upwind symmetric interior penalty Galerkin (SIPG) method leads to the same discrete optimality systems. The other DG methods such as nonsymmetric interior penalty Galerkin (NIPG) and incomplete interior penalty Galerkin (IIPG) method also yield the same discrete optimality systems when penalization constant is taken large enough. We will study a posteriori error estimates of the upwind SIPG method for the distributed unconstrained and control constrained optimal control problems. In convection dominated optimal control problems with boundary and/or interior layers, the oscillations are propagated downwind and upwind direction in the interior domain, due the opposite sign of convection terms in state and adjoint equations. Hence, we will use residual based a posteriori error estimators to reduce these oscillations around the boundary and/or interior layers. Finally, theoretical analysis will be confirmed by several numerical examples with and without control constraints

The paper is concerned with the finite element resolution of layers appearing in singularly perturbed problems. A special anisotropic grid of Shishkin type is constructed for reaction diffusion problems. Estimates of the finite element error in the energy norm are derived for two methods, namely the standard Galerkin method and a stabilized Galerkin method. The estimates are uniformly valid with respect to the (small) diffusion parameter. One ingredient is a pointwise description of derivatives of the continuous solution. A numerical example supports the result. Another key ingredient for the error analysis is a refined estimate for (higher) derivatives of the interpolation error. The assumptions on admissible anisotropic finite elements are formulated in terms of geometrical conditions for triangles and tetrahedra. The application of these estimates is not restricted to the special problem considered in this paper.

From the viewpoint of the adaptive solution of partial differential equations a finit e element method on hierarchical triangular meshes is developed permitting hanging nodes arising from nonuniform hierarchical refinement. Construction, extension and restriction of the nonuniform hierarchical basis and the accompanying mesh are described by graphs. The corresponding FE basis is generated by hierarchical transformation. The characteristic feature of the generalizable concept is the combination of the conforming hierarchical basis for easily defining and changing the FE space with an accompanying nonconforming FE basis for the easy assembly of a FE equations system. For an elliptic model the conforming FEM problem is solved by an iterative method applied to this nonconforming FEM equations system and modified by projection into the subspace of conforming basis functions. The iterative method used is the Yserentant- or BPX-preconditioned conjugate gradient algorithm. On a MIMD computer system the parallelization by domain decomposition is easy and efficient to organize both for the generation and solution of the equations system and for the change of basis and mesh.

The paper presents a method for generating curved surfaces of 3D finite element meshes by mesh refinement starting with a very coarse grid. This is useful for parallel implementations where the finest meshes should be computed and not read from large files. The paper deals with simple geometries as sphere, cylinder, cone. But the method may be extended to more complicated geometries. (with 45 figures)