2010, ISBN: 9783838348322

[ED: Taschenbuch / Paperback], [PU: LAP Lambert Academic Publishing], Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define multiresolut… More...

[ED: Taschenbuch / Paperback], [PU: LAP Lambert Academic Publishing], Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define multiresolution analysis similar to scalar wavelets. They are advantageous over scalar wavelets since they simultaneously posse symmetry and orthogonality. In this work, a new method for constructing multiwavelets with any approximation order is presented. The method involves the derivation of a matrix equation for the desired approximation order. The condition for approximation order is similar to the conditions in the scalar case. Generalized left eigenvectors give the combinations of scaling functions required to reconstruct the desired spline or super function. The method is demonstrated by constructing a specific class of symmetric and non-symmetric multiwavelets with different approximation orders, which include Geranimo-Hardin-Massopust (GHM), Daubechies and Alperts like multi-wavelets, as parameterized solutions. All multi-wavelets constructed in this work, posses the good properties of orthogonality, approximation order and short support., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 108, Selbstabholung und Barzahlung, PayPal, offene Rechnung, Banküberweisung, Internationaler Versand<

2010, ISBN: 9783838348322

Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define multiresolution analysis similar to scalar wavelets. They are advantageous over sc… More...

Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define multiresolution analysis similar to scalar wavelets. They are advantageous over scalar wavelets since they simultaneously posse symmetry and orthogonality. In this work, a new method for constructing multiwavelets with any approximation order is presented. The method involves the derivation of a matrix equation for the desired approximation order. The condition for approximation order is similar to the conditions in the scalar case. Generalized left eigenvectors give the combinations of scaling functions required to reconstruct the desired spline or super function. The method is demonstrated by constructing a specific class of symmetric and non-symmetric multiwavelets with different approximation orders, which include Geranimo-Hardin-Massopust (GHM), Daubechies and Alperts like multi-wavelets, as parameterized solutions. All multi-wavelets constructed in this work, posses the good properties of orthogonality, approximation order and short support. Buch (fremdspr.) Dr Asim Bhatti Taschenbuch, LAP LAMBERT Academic Publishing, 14.03.2010, LAP LAMBERT Academic Publishing, 2010<

ISBN: 383834832X

[EAN: 9783838348322], Neubuch, Publisher/Verlag: LAP Lambert Academic Publishing | A Generalized Method | Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r… More...

[EAN: 9783838348322], Neubuch, Publisher/Verlag: LAP Lambert Academic Publishing | A Generalized Method | Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define multiresolution analysis similar to scalar wavelets. They are advantageous over scalar wavelets since they simultaneously posse symmetry and orthogonality. In this work, a new method for constructing multiwavelets with any approximation order is presented. The method involves the derivation of a matrix equation for the desired approximation order. The condition for approximation order is similar to the conditions in the scalar case. Generalized left eigenvectors give the combinations of scaling functions required to reconstruct the desired spline or super function. The method is demonstrated by constructing a specific class of symmetric and non-symmetric multiwavelets with different approximation orders, which include Geranimo-Hardin-Massopust (GHM), Daubechies and Alperts like multi-wavelets, as parameterized solutions. All multi-wavelets constructed in this work, posses the good properties of orthogonality, approximation order and short support. | Format: Paperback | Language/Sprache: english | 108 pp<

2010, ISBN: 383834832X

[EAN: 9783838348322], Neubuch, [PU: LAP Lambert Acad. Publ. Mrz 2010], Neuware - Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define m… More...

[EAN: 9783838348322], Neubuch, [PU: LAP Lambert Acad. Publ. Mrz 2010], Neuware - Multiwavelets are wavelets with multiplicity r, that is r scaling functions and r wavelets, which define multiresolution analysis similar to scalar wavelets. They are advantageous over scalar wavelets since they simultaneously posse symmetry and orthogonality. In this work, a new method for constructing multiwavelets with any approximation order is presented. The method involves the derivation of a matrix equation for the desired approximation order. The condition for approximation order is similar to the conditions in the scalar case. Generalized left eigenvectors give the combinations of scaling functions required to reconstruct the desired spline or super function. The method is demonstrated by constructing a specific class of symmetric and non-symmetric multiwavelets with different approximation orders, which include Geranimo-Hardin-Massopust (GHM), Daubechies and Alperts like multi-wavelets, as parameterized solutions. All multi-wavelets constructed in this work, posses the good properties of orthogonality, approximation order and short support. 108 pp. Englisch<