Locally finite B-spline decompositions and related topics /
| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
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[Place of publication not identified] :
[publisher not identified] ;
1995.
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| Subjects: | |
| Online Access: | http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=742535171&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD |
| Item Description: | Vita. "Major Subject: Mathematics". |
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| Physical Description: | vi, 116 leaves : illustrations ; 28 cm. Issued also on microfiche from University Microfilms Inc. The aim of this dissertation is to present a locally finite decomposition of univariate spline spaces on uniform knot sequences and adapt the locally finite decomposition to a bounded interval. The spline space defined for a given knot sequence is decomposed as the direct sum of a spline space defined on a coarser knot sequence and a complementary spline subspace. The complementary subspace is spanned by translates of a spline function which satisfies the same symmetry characteristics as spline wavelets. For a bounded interval, our decomposition and reconstruction algorithms are presented and compared with Quak and Weyrich's spline wavelet algorithms for a bounded interval. In addition, we investigate spline wavelet decomposition coefficients for non-uniform, non-periodic knot sequences. |
| Bibliography: | Includes bibliographical references. |