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Texton finding and lattice creation for near-regular texture

dc.contributor.advisorMould, Daviden_US
dc.contributor.committeeMemberSoteros, Chrisen_US
dc.contributor.committeeMemberKeil, J. Marken_US
dc.contributor.committeeMemberEramian, Mark G.en_US
dc.creatorSookocheff, Kevin Bradleyen_US
dc.date.accessioned2006-08-07T08:40:47Zen_US
dc.date.accessioned2013-01-04T04:51:11Z
dc.date.available2006-08-22T08:00:00Zen_US
dc.date.available2013-01-04T04:51:11Z
dc.date.created2006-06en_US
dc.date.issued2006-06-12en_US
dc.date.submittedJune 2006en_US
dc.description.abstractA regular texture is formed from a regular congruent tiling of perceptually meaningful texture elements, also known as textons. If the tiling statistically deviates from regularity, either by texton structure, colour, or size, the texture is called near-regular. If we continue to perturb the tiling, the texture becomes stochastic. The set of possible textures that lie between regular and stochastic make up the texture spectrum: regular, near-regular, regular, near-stochastic, and stochastic. In this thesis we provide a solution to the problem of creating, from a near-regular texture, a lattice which defines the placement of textons. We divide the problem into two distinct sub-areas: finding textons within an image, and lattice creation using both an ad-hoc method and a graph-theoretic method. The problem of finding textons within an image is addressed using correlation. A texton selected by the user is correlated with the image and points of high correlation are extracted using non-maximal suppression. To extend this framework to irregular textures, we present early results on the use of feature space during correlation. We also present a method of correcting for a specific type of error in the texton finding result using frequency-space analysis. Given texton locations, we provide two methods of creating a lattice. The ad-hoc method is able to create a lattice in spite of inconsistencies in the texton locating data. However, as texture becomes irregular the ad-hoc lattice construction method fails to correctly connect textons. To overcome this failure we adapt methods of creating proximity graphs, which join two textons whose neighbourhoods satisfy certain criteria, to our problem. The proximity graphs are parameterized for selection of the most appropriate graph choice for a given texture, solving the general lattice construction problem given correct texton locations. In the output of the algorithm, centres of textons will be connected by edges in the lattice following the structure of texton placement within the input image. More precisely, for a texture T, we create a graph G = (V,E) dependent on T, where V is a set of texton centres, and E ={(v_i, v_j)} is a set of edges, where v_i, v_j are in V. Each edge e in E connects texton centre v in V to its most perceptually sensible neighbours.en_US
dc.identifier.urihttp://hdl.handle.net/10388/etd-08072006-084047en_US
dc.language.isoen_USen_US
dc.subjecttextureen_US
dc.subjectobject recognitionen_US
dc.subjecttexture synthesisen_US
dc.subjectlatticeen_US
dc.titleTexton finding and lattice creation for near-regular textureen_US
dc.type.genreThesisen_US
dc.type.materialtexten_US
thesis.degree.departmentComputer Scienceen_US
thesis.degree.disciplineComputer Scienceen_US
thesis.degree.grantorUniversity of Saskatchewanen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Science (M.Sc.)en_US

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