Show simple item record

dc.contributor.authorVass, József
dc.date.accessioned2014-01-23 21:28:54 (GMT)
dc.date.available2014-01-23 21:28:54 (GMT)
dc.date.issued2014-01-23
dc.date.submitted2013
dc.identifier.urihttp://hdl.handle.net/10012/8200
dc.description.abstractVisually complex objects with infinitesimally fine features, naturally call for mathematical representations. The geometrical property of self-similarity - the whole similar to its parts - when iterated to infinity generates such features. Finite sets of affine contractions called Iterated Function Systems (IFS), with their compact attractors IFS fractals, can be applied to represent detailed self-similar shapes, such as trees or mountains. The fine local features of such attractors prevent their straightforward geometrical handling, and often imply a non-integer Hausdorff dimension. The main goal of the thesis is to develop an alternative approach to the geometry of IFS fractals in the classical sense via bounding sets. The results are obtained with the objective of practical applicability. The thesis thus revolves around the central problem of determining bounding sets to IFS fractals - and the convex hull in particular - emphasizing the fundamental role of such sets in their geometry. This emphasis is supported throughout the thesis, from real-life and theoretical applications to numerical algorithms crucially dependent on bounding.en
dc.language.isoenen
dc.publisherUniversity of Waterlooen
dc.subjectFractal Geometryen
dc.subjectFractal Analysisen
dc.titleOn the Geometry of IFS Fractals and its Applicationsen
dc.typeDoctoral Thesisen
dc.pendingfalse
dc.subject.programApplied Mathematicsen
uws-etd.degree.departmentApplied Mathematicsen
uws-etd.degreeDoctor of Philosophyen
uws.typeOfResourceTexten
uws.peerReviewStatusUnrevieweden
uws.scholarLevelGraduateen


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record


UWSpace

University of Waterloo Library
200 University Avenue West
Waterloo, Ontario, Canada N2L 3G1
519 888 4883

All items in UWSpace are protected by copyright, with all rights reserved.

DSpace software

Service outages