Matches in SemOpenAlex for { <https://semopenalex.org/work/W1984628794> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W1984628794 endingPage "213" @default.
- W1984628794 startingPage "185" @default.
- W1984628794 abstract "Continuing our recent work in [5] we study polynomial masks of multivariate tight wavelet frames from two additional and complementary points of view: convexity and system theory. We consider such polynomial masks that are derived by means of the unitary extension principle from a single polynomial. We show that the set of such polynomials is convex and reveal its extremal points as polynomials that satisfy the quadrature mirror filter condition. Multiplicative structure of this polynomial set allows us to improve the known upper bounds on the number of frame generators derived from box splines. Moreover, in the univariate and bivariate settings, the polynomial masks of a tight wavelet frame can be interpreted as the transfer function of a conservative multivariate linear system. Recent advances in system theory enable us to develop a more effective method for tight frame constructions. Employing an example by S.W. Drury, we show that for dimension greater than 2 such transfer function representations of the corresponding polynomial masks do not always exist. However, for all wavelet masks derived from multivariate polynomials with non-negative coefficients, we determine explicit transfer function representations. We illustrate our results with several examples." @default.
- W1984628794 created "2016-06-24" @default.
- W1984628794 creator A5026079786 @default.
- W1984628794 creator A5026457502 @default.
- W1984628794 creator A5030756275 @default.
- W1984628794 creator A5033634172 @default.
- W1984628794 date "2015-09-01" @default.
- W1984628794 modified "2023-09-26" @default.
- W1984628794 title "An algebraic perspective on multivariate tight wavelet frames. II" @default.
- W1984628794 cites W1489034366 @default.
- W1984628794 cites W1595547237 @default.
- W1984628794 cites W1969844730 @default.
- W1984628794 cites W1970594416 @default.
- W1984628794 cites W1981295076 @default.
- W1984628794 cites W1983772857 @default.
- W1984628794 cites W1985738912 @default.
- W1984628794 cites W1989066727 @default.
- W1984628794 cites W1993077418 @default.
- W1984628794 cites W2018960677 @default.
- W1984628794 cites W2031562472 @default.
- W1984628794 cites W2059531880 @default.
- W1984628794 cites W2084825446 @default.
- W1984628794 cites W2125555749 @default.
- W1984628794 cites W2153924147 @default.
- W1984628794 cites W2165783715 @default.
- W1984628794 cites W4231035953 @default.
- W1984628794 cites W4254742099 @default.
- W1984628794 doi "https://doi.org/10.1016/j.acha.2014.09.003" @default.
- W1984628794 hasPublicationYear "2015" @default.
- W1984628794 type Work @default.
- W1984628794 sameAs 1984628794 @default.
- W1984628794 citedByCount "9" @default.
- W1984628794 countsByYear W19846287942016 @default.
- W1984628794 countsByYear W19846287942017 @default.
- W1984628794 countsByYear W19846287942020 @default.
- W1984628794 countsByYear W19846287942021 @default.
- W1984628794 countsByYear W19846287942022 @default.
- W1984628794 countsByYear W19846287942023 @default.
- W1984628794 crossrefType "journal-article" @default.
- W1984628794 hasAuthorship W1984628794A5026079786 @default.
- W1984628794 hasAuthorship W1984628794A5026457502 @default.
- W1984628794 hasAuthorship W1984628794A5030756275 @default.
- W1984628794 hasAuthorship W1984628794A5033634172 @default.
- W1984628794 hasBestOaLocation W19846287942 @default.
- W1984628794 hasConcept C105795698 @default.
- W1984628794 hasConcept C118615104 @default.
- W1984628794 hasConcept C134306372 @default.
- W1984628794 hasConcept C136119220 @default.
- W1984628794 hasConcept C154945302 @default.
- W1984628794 hasConcept C161584116 @default.
- W1984628794 hasConcept C199163554 @default.
- W1984628794 hasConcept C202444582 @default.
- W1984628794 hasConcept C28826006 @default.
- W1984628794 hasConcept C33923547 @default.
- W1984628794 hasConcept C41008148 @default.
- W1984628794 hasConcept C47432892 @default.
- W1984628794 hasConcept C90119067 @default.
- W1984628794 hasConceptScore W1984628794C105795698 @default.
- W1984628794 hasConceptScore W1984628794C118615104 @default.
- W1984628794 hasConceptScore W1984628794C134306372 @default.
- W1984628794 hasConceptScore W1984628794C136119220 @default.
- W1984628794 hasConceptScore W1984628794C154945302 @default.
- W1984628794 hasConceptScore W1984628794C161584116 @default.
- W1984628794 hasConceptScore W1984628794C199163554 @default.
- W1984628794 hasConceptScore W1984628794C202444582 @default.
- W1984628794 hasConceptScore W1984628794C28826006 @default.
- W1984628794 hasConceptScore W1984628794C33923547 @default.
- W1984628794 hasConceptScore W1984628794C41008148 @default.
- W1984628794 hasConceptScore W1984628794C47432892 @default.
- W1984628794 hasConceptScore W1984628794C90119067 @default.
- W1984628794 hasIssue "2" @default.
- W1984628794 hasLocation W19846287941 @default.
- W1984628794 hasLocation W19846287942 @default.
- W1984628794 hasLocation W19846287943 @default.
- W1984628794 hasOpenAccess W1984628794 @default.
- W1984628794 hasPrimaryLocation W19846287941 @default.
- W1984628794 hasRelatedWork W1828158523 @default.
- W1984628794 hasRelatedWork W1966397516 @default.
- W1984628794 hasRelatedWork W1986750101 @default.
- W1984628794 hasRelatedWork W1987263318 @default.
- W1984628794 hasRelatedWork W2020909146 @default.
- W1984628794 hasRelatedWork W2049578243 @default.
- W1984628794 hasRelatedWork W2063294390 @default.
- W1984628794 hasRelatedWork W2108371780 @default.
- W1984628794 hasRelatedWork W2200996039 @default.
- W1984628794 hasRelatedWork W2368680607 @default.
- W1984628794 hasVolume "39" @default.
- W1984628794 isParatext "false" @default.
- W1984628794 isRetracted "false" @default.
- W1984628794 magId "1984628794" @default.
- W1984628794 workType "article" @default.