Decomposing rectilinear regions into rectangles

dc.contributor.authorChadha, Rituen
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2019-07-03T16:42:47Zen
dc.date.available2019-07-03T16:42:47Zen
dc.date.issued1987en
dc.description.abstractThis thesis discusses the problem of decomposing rectilinear regions, with or without holes, into a minimum number of rectangles. There are two different types of decomposition considered here : decomposing a figure into non-overlapping parts, called partitioning, and decomposing a figure into possibly overlapping parts, called covering. A method is outlined and proved for solving the above two problems, and algorithms for the solutions of these problems are presented. The partitioning problem can be solved in time O(n⁵ ²), where n is the number of vertices of the figure, whereas the covering problem is exponential in its time complexity.en
dc.description.degreeM.S.en
dc.format.extentix, 116 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/90962en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 17604740en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1987.C523en
dc.subject.lcshDecomposition (Mathematics)en
dc.titleDecomposing rectilinear regions into rectanglesen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineComputer Scienceen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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