<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Model-based Stochastical Segmentation of\r\nHigher-dimensional Data"^^ . "This thesis is motivated by the problem of segmenting extremely noisy images of geometric objects.\r\nTo this end, it combines randomized combinatorial set cover optimization with a statistical model\r\nof object interaction. The set cover approach provides stability and applicability in cases in which\r\nmany traditional methods of segmentation fail due to noise and imperfect data. The statistical model\r\nprovides additional information that is not directly supplied by the image, and leads to a more realistic\r\ndepiction of physical object properties in the resulting segmentation.\r\nThis dissertation is divided into three parts: The first covers topics of randomized combinatorial\r\noptimization. This includes improving bounds of convergence and establishing a method of parallelization\r\nfor an existing approach, as well as linking solutions to different combinatorial problems,\r\nsuch as geometric set cover and a general linear program.\r\nPart two is concerned with constructing a point process model of object interaction that fits later\r\napplications, and exploring some theoretical and practical pitfalls in its simulation, estimation, and\r\ncoupling with a combinatorial approach.\r\nPart three compares previously discussed methods empirically, and demonstrates the performance\r\nof the established combination of randomized optimization and statistical model on microscopic cell\r\nimages and 3D μCT scans of fiber reinforced materials."^^ . "2019" . . . . . . . "Peter"^^ . "Markowsky"^^ . "Peter Markowsky"^^ . . . . . . "Model-based Stochastical Segmentation of\r\nHigher-dimensional Data (PDF)"^^ . . . "Thesis_Markowsky.pdf"^^ . . . "Model-based Stochastical Segmentation of\r\nHigher-dimensional Data (Other)"^^ . . . . . . "indexcodes.txt"^^ . . "HTML Summary of #27440 \n\nModel-based Stochastical Segmentation of \nHigher-dimensional Data\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .