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[null,"1.","Record Nr.",null,"UNINA9910480572403321"]
[null,null,"Autore",null,"Cavaretta Alfred S. <1944->"]
[null,null,"Titolo",null,"Stationary subdivision / / Alfred S. Cavaretta, Wolfgang Dahmen, Charles A. Micchelli"]
[null,null,"Pubbl/distr/stampa",null,"Providence, Rhode Island : , : American Mathematical Society, , 1991"]
[{"$nulls":4},"©1991"]
[null,null,"ISBN",null,"1-4704-0879-1"]
[null,null,"Descrizione fisica",null,"1 online resource (197 p.)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 93, Number 453"]
[null,null,"Disciplina",null,"511/.42"]
[null,null,"Soggetti",null,"Spline theory"]
[{"$nulls":4},"Algorithms"]
[{"$nulls":4},"Computer graphics"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"September 1991, Volume 93, Number 453 (second of 3 numbers).\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"\"\"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\"\""]
[{"$nulls":4},"\"\"4. Subdivision from Dimension Compression\"\"\"\"4.1. Compression of the refinable function[omitted]\"\"; \"\"4.2. The algebra of compressed schemes\"\"; \"\"4.3. Convergence theorems for compressed schemes\"\"; \"\"4.4. The line average algorithm\"\"; \"\"5. Solution of the Functional Equation\"\"; \"\"5.1. Necessary conditions in terms of the geometric mean\"\"; \"\"5.2. Sufficient conditions based on the Paleyâ€?Wiener theorem\"\"; \"\"5.3. Conditions for convergence of the subdivision scheme suggested by the mean ergodic theorem\"\"; \"\"6. Algebraic Properties of Subdivision Schemes\"\""]
[{"$nulls":4},"\"\"6.1. The subdivision operator on polynomial sequences\"\"\"\"6.2. Spectral properties of S on polynomial sequence spaces\"\"; \"\"6.3. Polynomial subspaces generated by convergent subdivision schemes\"\"; "]
[{"$nulls":4},"\"\"6.4. Matrix representation for a local convergence analysis of regular subdivision schemes;  matrix subdivision schemes\"\"; \"\"7. Matrix Refinement Equation\"\"; \"\"7.1. Contractivity for matrix subdivision schemes\"\"; \"\"7.2. Definition of refinement pairs\"\"; \"\"7.3. Refinement pairs which produce polynomial surfaces\"\""]
[{"$nulls":4},"\"\"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 Sâ€?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\"\""]