Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 22 for “"Geometric Optimization"”.
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Geometric set cover and related geometric optimization problems
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2024-03-01 without embargo terms
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Geometric optimization algorithms for linear regression on fixed-rank matrices
… large-scale problems. Specifically, we adopt a geometric optimization viewpoint to address the problem of linear regression in nonlinear and high-dimensional matrix search spaces. Our purpose is to efficiently exploit the geometric structure of the search space in the design of scalable linear …
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Conceptual design of a deployable vehicular bridge structure using shape and geometric optimization for post disaster relief applications
… The design problem is formulated as a formal optimization problem with a nested equilibrium condition. Our objective function minimizes the total weight of the structure for a deployable bridge subjected to H15 design loads and stress limits delineated by AASHTO. A design A design exploration …
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Numerical and Experimental Study of Solidification Behavior in Thermal Storage Systems
… validation, computational modeling, and geometric optimization of phase change material (PCM) systems. The study addresses limitations in empirical data, HVAC integration, and configuration design for building-integrated storage. A literature review of ice thermal energy storage methods, …
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Relaxing Topological Barriers in Geometry Processing
Geometric optimization problems are full of topological barriers that hinder optimization, leading to nonconvexity, initialization-dependence, and local minima. This thesis explores convex relaxation as a powerful guide and tool for reframing such problems. We bring the tools of semidefinite …
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Computational fluid dynamic (CFD) optimization of microfluidic mixing in a MEMS steam generator
… micro steam generator. The study focuses on the geometric optimization of a static micromixer channel by considering the trade-off between mixing quality and pressure drop. Both zigzag and straight channels are evaluated, in addition to channels with differing amounts of added obstruction …
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Nanomechanical systems with small dissipation
… engineering, alternative materials testing, and geometric optimization through nanofabrication. Reduction in non-contact friction between a vibrating nanomechanical resonator and a surface, spaced nanometers away from the latter, was achieved by using a diamond nanowire as an integrated scanning …
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In pursuit of linear complexity in discrete and computational geometry
Many computational problems arise naturally from geometric data. In this thesis, we consider three such problems: (i) distance optimization problems over point sets, (ii) computing contour trees over simplicial meshes, and (iii) bounding the expected complexity of weighted Voronoi diagrams. While …
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Surpassing Local Optimality in Geometry Processing
… We approach these problems through the lens of geometric optimization where solutions are acquired by defining application specific objective functions paired with geometry dependent constraints. These problems can generically be solved with Newton’s method to initialization dependent local …
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Design, fabrication and testing of a stacked variable-reluctance motor
… the average torque over an electrical cycle. A geometric optimization is carried out using a combination of the Monte Carlo method and the simulated annealing method on a prototype, designed as a hip motor for a cheetah like robot. A one-phase 56 polepair prototype is designed and constructed to …
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Numerical Study in Wind Energy Extraction from Controlled Limit-Cycle Oscillations in Modified Glauert Airfoil
… previously unsuitable to wind turbines due to geometric or low wind velocity constraints. Without SJA control at 7 m/s wind speed, predicted net power output is 2.35 W per meter span. With SJA control, this increases to 4.05 W.</p> <p>Towards the study of an MG airfoil under LCO, this thesis …
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Design optimization of two-way spanning concrete systems for low-carbon, context-informed construction
… embodied carbon are materials substitution and geometric optimization. This dissertation focuses on the latter, presenting strategies to reduce embodied carbon in floors systems that are generally characterized by inefficiently shaped sections, typically designed with little consideration for …
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Algorithms and Systems for Scalable Multi-Agent Geometric Estimation
Collaborative geometric estimation, which enables multiple agents to construct globally consistent geometric models of the environment (e.g., maps and robot poses) from noisy local measurements, is a crucial capability for multi-agent systems. However, achieving scalable collaborative estimation in …
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Computational metric embeddings
… arises naturally in many applications, including geometric optimization, visualization, multi-dimensional scaling, network spanners, and the computation of phylogenetic trees. We focus on the case where the host space is either a euclidean space of constant dimension such as the line and the …
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Estimation of Runway Throughput with Reduced Wake Separation, Runway Optimization, and Runway Occupancy Time Consideration
… Time (ROT) constraint factors and existing geometric design factors. This research extracts the historic data from Airport Surface Detection Equipment Model X (ASDE-X) for analysis. The Runway Exit Design Interactive Model (REDIM) is used to optimize the runway exit locations and reduce ROT. …
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Superdirectivity and the Application of Complementary Split Ring Resonators in Directivity Enhancement of Millimeter-Wave Antennas
… away from reactive loading and towards geometric optimization of array elements is noticed. However, directivity bandwidth is rarely addressed in modern work. Accordingly, the main aim of this thesis is creating dynamic designs that are easily tuned to different radiation and bandwidth …
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Computer Aided Design of Side Actions for Injection Molding of Complex Parts
… of side actions requires solving a complex geometric optimization problem. Different objective functions may be needed depending upon different molding scenarios (e.g., prototyping versus large production runs). Manually designing side actions is a challenging task and requires considerable …
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Semidenite representations with applications in estimation and inference
Semidenite optimization problems are an expressive family of convex optimization problems that can be solved eciently. We develop semidenite optimization-based formulations and approximations for a number of families of optimization problems, including problems arising in spacecraft attitude …
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Geometric Hitting Sets and Their Variants
<p>This thesis explores a few geometric optimization problems that arise</p><p>in robotics and sensor networks. In particular we present efficient</p><p>algorithms for the hitting-set problem and the budgeted hitting-set problem.</p><p>Given a set of objects and a collection of subsets of the …
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A Grid-Based Approximation Algorithm for the Minimum Weight Triangulation Problem
Given a set of n points on a plane, in the Minimum Weight Triangulation problem, we wish to find a triangulation that minimizes the sum of Euclidean lengths of its edges. The problem has been studied for more than four decades and is known to be incredibly challenging. In fact, the complexity …
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