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http://hdl.handle.net/11375/21863
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DC Field | Value | Language |
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dc.contributor.advisor | Shirani, S. | - |
dc.contributor.advisor | Wu, X. | - |
dc.contributor.author | Dehghani Tafti, Pouya | - |
dc.date.accessioned | 2017-08-18T15:27:56Z | - |
dc.date.available | 2017-08-18T15:27:56Z | - |
dc.date.issued | 2005-10 | - |
dc.identifier.uri | http://hdl.handle.net/11375/21863 | - |
dc.description.abstract | <p> It is possible to interpret multi-resolution analysis from both Fourier-domain and temporal/spatial domain stand-points. While a Fourier-domain interpretation helps in designing a powerful machinery for multi-resolution refinement on regular point-sets and lattices, most of its techniques cannot be directly generalized to the case of irregular sampling. Therefore, in this thesis we provide a new definition and formulation of multi-resolution refinement, based on a temporal/spatial-domain understanding, that is general enough to allow multi-resolution approximation of different spaces of functions by processing samples (or observations) that can be irregularly distributed or even obtained using different sampling methods. We then continue to provide a construction for designing and implementing classes of refinement schemes in these general settings. The framework for multi-resolution refinement that we discuss includes and extends the existing mathematical machinery for multi-resolution analysis; and the suggested construction unifies many of the schemes currently in use, and, more importantly, allows designing schemes for many new settings. </p> | en_US |
dc.language.iso | en | en_US |
dc.subject | Discrete Data | en_US |
dc.subject | Refinement | en_US |
dc.subject | Multi-Scale | en_US |
dc.subject | multi-resolution analysis | en_US |
dc.title | On Multi-Scale Refinement of Discrete Data | en_US |
dc.contributor.department | None | en_US |
dc.description.degreetype | Thesis | en_US |
dc.description.degree | Master of Applied Science (MASc) | en_US |
Appears in Collections: | Digitized Open Access Dissertations and Theses |
Files in This Item:
File | Description | Size | Format | |
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DehghaniTafti_Pouya_2005Oct_Masters.pdf | 3.85 MB | Adobe PDF | View/Open |
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