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|a E7B
|b eng
|e rda
|e pn
|c E7B
|d OCLCO
|d EBLCP
|d OCLCQ
|d OCLCF
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCA
|d OCLCQ
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|a 1259276826
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|a 9781470408794
|q (e-book)
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|a 1470408791
|q (e-book)
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|z 9780821825075
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|a (OCoLC)891383752
|z (OCoLC)1259276826
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|a QA224
|b .C383 1991eb
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|a 511/.42
|2 20
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|a UAMI
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| 100 |
1 |
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|a Cavaretta, Alfred S.,
|d 1944-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjwMMPgyprV73XDwTCYvRC
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| 245 |
1 |
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|a Stationary subdivision /
|c Alfred S. Cavaretta, Wolfgang Dahmen, Charles A. Micchelli.
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| 264 |
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|a Providence, Rhode Island :
|b American Mathematical Society,
|c 1991.
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| 264 |
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4 |
|c ©1991
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| 300 |
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|a 1 online resource (197 pages)
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| 336 |
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|a text
|b txt
|2 rdacontent
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| 337 |
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|a computer
|b c
|2 rdamedia
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| 338 |
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Memoirs of the American Mathematical Society,
|x 0065-9266 ;
|v Volume 93, Number 453
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| 500 |
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|a "September 1991, Volume 93, Number 453 (second of 3 numbers)."
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| 504 |
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|a Includes bibliographical references.
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0 |
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|a Print version record.
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0 |
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|a Table of Contents -- 1. Introduction -- 2. Subdivision Schemes: Convergence Concepts and the Associated Functional Equation -- 2.1. The form of the limiting surface of uniformly convergent subdivision schemes -- 2.2. Consequences of the finite support of the mask -- 2.3. Other notions of convergence; weakly convergent schemes -- 2.4. Matrix masks -- 3. Contractivity of the Subdivision Operator -- 3.1. Contractivity as a convergence criterion -- 3.2. Contractivity for masks supported on convex sets -- 3.3. Contractivity via factorization of the subdivision operator
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| 505 |
8 |
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|a ""4. Subdivision from Dimension Compression""""4.1. Compression of the refinable function[omitted]""; ""4.2. The algebra of compressed schemes""; ""4.3. Convergence theorems for compressed schemes""; ""4.4. The line average algorithm""; ""5. Solution of the Functional Equation""; ""5.1. Necessary conditions in terms of the geometric mean""; ""5.2. Sufficient conditions based on the Paley�Wiener theorem""; ""5.3. Conditions for convergence of the subdivision scheme suggested by the mean ergodic theorem""; ""6. Algebraic Properties of Subdivision Schemes""
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| 505 |
8 |
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|a 6.1. The subdivision operator on polynomial sequences6.2. Spectral properties of S on polynomial sequence spaces -- 6.3. Polynomial subspaces generated by convergent subdivision schemes -- 6.4. Matrix representation for a local convergence analysis of regular subdivision schemes; matrix subdivision schemes -- 7. Matrix Refinement Equation -- 7.1. Contractivity for matrix subdivision schemes -- 7.2. Definition of refinement pairs -- 7.3. Refinement pairs which produce polynomial surfaces
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|a ""7.4. Necessary and sufficient conditions for the generation of smooth surfaces by a refinement pair""""7.5. The fractal nature of surfaces generated by a refinement pair""; ""8. Smoothness of S�Refinable Functions and Consequences""; ""8.1. Determining smoothness of the refinahle function using differenced subdivision schemes""; ""8.2. Subdivision schemes with smooth refinahle functions generate polynomials""; ""8.3. Univariate subdivision schemes producing piecewise polynomial functions""; ""9. Appendix""; ""References""
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| 546 |
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|a English.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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|a Spline theory.
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| 650 |
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|a Algorithms.
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| 650 |
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|a Computer graphics.
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| 650 |
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2 |
|a Algorithms
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| 650 |
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2 |
|a Computer Graphics
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| 650 |
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6 |
|a Théorie des splines.
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| 650 |
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6 |
|a Algorithmes.
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| 650 |
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6 |
|a Infographie.
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| 650 |
|
7 |
|a algorithms.
|2 aat
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| 650 |
|
7 |
|a computer graphics.
|2 aat
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| 650 |
|
7 |
|a Algorithms
|2 fast
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| 650 |
|
7 |
|a Computer graphics
|2 fast
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| 650 |
|
7 |
|a Spline theory
|2 fast
|
| 700 |
1 |
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|a Dahmen, Wolfgang,
|d 1949-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PBJvmPm76tMxdtrk8HjPJDq
|
| 700 |
1 |
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|a Micchelli, Charles A.,
|e author.
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| 758 |
|
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|i has work:
|a Stationary subdivision (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGpBF4CkYq8M6p4Pgf6dwC
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Cavaretta, Alfred S., 1944-
|t Stationary subdivision.
|d Providence, Rhode Island : American Mathematical Society, ©1991
|h vi, 186 pages
|k Memoirs of the American Mathematical Society ; Volume 93, Number 453
|x 0065-9266
|z 9780821825075
|
| 830 |
|
0 |
|a Memoirs of the American Mathematical Society ;
|v Volume 93, no. 453.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113883
|z Texto completo
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| 936 |
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|a BATCHLOAD
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL3113883
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| 938 |
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|a ebrary
|b EBRY
|n ebr10918836
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| 994 |
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|a 92
|b IZTAP
|
