Subdivision and Multiresolution for Partition of Unity Parametrics

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atmire.migration.oldid4509
dc.contributor.advisorFamil Samavati, Faramarz
dc.contributor.authorMOLTAJI, AMIRHESSAM
dc.contributor.committeememberAlim, Usman
dc.contributor.committeememberMessier, Geoffrey
dc.date.accessioned2016-06-15T16:15:34Z
dc.date.available2016-06-15T16:15:34Z
dc.date.issued2016
dc.date.submitted2016en
dc.description.abstractPartition of Unity Parametrics (PUPs) is a generalization of NURBS that allows one to use arbitrary basis functions to model parametric curves and surfaces. One interesting problem is the finding of subdivision, reverse subdivision, and multiresolution (MR) schemes for this recently developed and flexible class of parametric curves and surfaces. Subdivision is used to increase resolution and can be applied to upsampling and evaluating parametric curves and surfaces. Reverse subdivision, on the other hand, is used to decrease resolution and along with subdivision, can be combined into a MR framework which has numerous applications, including: macroscopic/microscopic modification, compression, feature transfer, and level of detail visualization. Deriving PUPs MR schemes makes it possible to introduce such applications to the PUPs framework. In this thesis, we introduce a systematic approach for determining uniform subdivision schemes for PUPs curves and tensor-product surfaces using least squares. Additionally, we derive PUPs MR masks based on their subdivision filters. We model the problem such that the resulting MR schemes are banded and optimal in terms of minimizing MR reconstruction error.en_US
dc.identifier.citationMOLTAJI, AMIRHESSAM. (2016). Subdivision and Multiresolution for Partition of Unity Parametrics (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca. doi:10.11575/PRISM/27925en_US
dc.identifier.doihttp://dx.doi.org/10.11575/PRISM/27925
dc.identifier.urihttp://hdl.handle.net/11023/3059
dc.language.isoeng
dc.publisher.facultyGraduate Studies
dc.publisher.institutionUniversity of Calgaryen
dc.publisher.placeCalgaryen
dc.rightsUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.
dc.subjectComputer Science
dc.subject.classificationSubdivisionen_US
dc.subject.classificationMultiresolutionen_US
dc.subject.classificationWaveleten_US
dc.subject.classificationB-Splineen_US
dc.subject.classificationNURBSen_US
dc.titleSubdivision and Multiresolution for Partition of Unity Parametrics
dc.typemaster thesis
thesis.degree.disciplineComputer Science
thesis.degree.grantorUniversity of Calgary
thesis.degree.nameMaster of Science (MSc)
ucalgary.item.requestcopytrue
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