The Resource Approximation theory XIV : San Antonio 2013, Gregory E. Fasshauer, Larry L. Schumaker, editors

Approximation theory XIV : San Antonio 2013, Gregory E. Fasshauer, Larry L. Schumaker, editors

Label
Approximation theory XIV : San Antonio 2013
Title
Approximation theory XIV
Title remainder
San Antonio 2013
Statement of responsibility
Gregory E. Fasshauer, Larry L. Schumaker, editors
Creator
Contributor
Editor
Subject
Genre
Language
eng
Summary
This volume developed from papers presented at the international conference Approximation Theory XIV, held April 7-10, 2013 in San Antonio, Texas. The proceedings contains surveys by invited speakers, covering topics such as splines on non-tensor-product meshes, Wachspress and mean value coordinates, curvelets and shearlets, barycentric interpolation, and polynomial approximation on spheres and balls. Other contributed papers address a variety of current topics in approximation theory, including eigenvalue sequences of positive integral operators, image registration, and support vector machines. This book will be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas
Member of
Cataloging source
GW5XE
Dewey number
511/.4
Illustrations
illustrations
Index
no index present
LC call number
QA221
LC item number
.I58 2013
Literary form
non fiction
http://bibfra.me/vocab/lite/meetingDate
2013
http://bibfra.me/vocab/lite/meetingName
International Conference on Approximation Theory
Nature of contents
dictionaries
NLM call number
Online Book
http://library.link/vocab/relatedWorkOrContributorDate
1939-
http://library.link/vocab/relatedWorkOrContributorName
  • Fasshauer, Gregory E.
  • Schumaker, Larry L.
Series statement
Springer Proceedings in Mathematics & Statistics,
Series volume
volume 83
http://library.link/vocab/subjectName
  • Approximation theory
  • Mathematics
  • MATHEMATICS
  • Approximation theory
Label
Approximation theory XIV : San Antonio 2013, Gregory E. Fasshauer, Larry L. Schumaker, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-06404-8
Instantiates
Publication
Note
International conference proceedings
Antecedent source
unknown
Bibliography note
  • References4 A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery; 1 Compressive Sensing and Sparse Signal Recovery; 2 (HTP), (GHTP) , and their Generalizations; 2.1 Previous Results; 2.2 Generalizations; 2.3 First Results; 3 Uniform Recovery via (f-HTP) ; 3.1 General Results; 3.2 The Case of Power Vectors; 4 Nonuniform Recovery via (f-HTP) ; 4.1 Useful Inequalities; 4.2 Recovery; 4.3 Hybrid Algorithms; 5 Numerical Results; 5.1 Successful Recovery and Area of Convergence; 5.2 Number of Iterations for Successful Recovery; 5.3 Indices Correctly Captured; 6 Conclusion
  • References5 On a New Proximity Condition for Manifold-Valued Subdivision Schemes; 1 Introduction; 2 Smooth Compatibility and the Differential Proximity Condition; 3 What's New?; 4 Coordinate Independence; 5 The Log-exp Scheme on Surfaces; References; 6 Wachspress and Mean Value Coordinates; 1 Introduction; 2 Barycentric Coordinates on Polygons; 3 Wachspress Coordinates; 3.1 Rational Functions; 3.2 Perpendicular Distances to Edges; 3.3 Gradients; 3.4 Curve Deformation; 4 Mean Value Coordinates; 4.1 Gradients; 4.2 Alternative Formula; 4.3 Star-Shaped Polygons; 4.4 Arbitrary Polygons
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Isogeometric Method for the Elliptic Monge-Ampère Equation -- Dual Compatible Splines on non Tensor Product Meshes -- Multivariate Anisotropic Interpolation on the Torus -- A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery -- On a New Proximity Condition for Manifold-Valued Subdivision Schemes -- Wachspress and Mean Value Coordinates -- Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes -- Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration -- Parabolic Molecules: Curvelets, Shearlets and Beyond -- Microlocal Analysis of Singularities from Directional Multiscale Representations -- Barycentric Interpolation -- Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets -- Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness -- Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices -- On Non-degenerate Rational Approximation -- Multivariate C1-continuous Splines on the Alfeld Split of a Simplex -- On Convergence of Singular Integral Operators with Radial Kernels -- Lower Bound on the Dimension of Trivariate Splines on Cells -- One Characterization of Lagrange Projectors -- Minimal versus Orthogonal Projections onto Hyperplanes in ln1 and ln∞ -- On Hermite Interpolation by Splines with Continuous Third Derivatives -- Best Polynomial Approximation on the Unit Sphere and the Unit Ball -- Support Vector Machines in Reproducing Kernel Hilbert Spaces versus Banach Spaces
Dimensions
unknown
Extent
1 online resource (xiii, 395 pages)
File format
unknown
Form of item
online
Isbn
9783319064031
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-06404-8
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)881427018
  • (OCoLC)ocn881427018
Label
Approximation theory XIV : San Antonio 2013, Gregory E. Fasshauer, Larry L. Schumaker, editors
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-06404-8
Publication
Note
International conference proceedings
Antecedent source
unknown
Bibliography note
  • References4 A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery; 1 Compressive Sensing and Sparse Signal Recovery; 2 (HTP), (GHTP) , and their Generalizations; 2.1 Previous Results; 2.2 Generalizations; 2.3 First Results; 3 Uniform Recovery via (f-HTP) ; 3.1 General Results; 3.2 The Case of Power Vectors; 4 Nonuniform Recovery via (f-HTP) ; 4.1 Useful Inequalities; 4.2 Recovery; 4.3 Hybrid Algorithms; 5 Numerical Results; 5.1 Successful Recovery and Area of Convergence; 5.2 Number of Iterations for Successful Recovery; 5.3 Indices Correctly Captured; 6 Conclusion
  • References5 On a New Proximity Condition for Manifold-Valued Subdivision Schemes; 1 Introduction; 2 Smooth Compatibility and the Differential Proximity Condition; 3 What's New?; 4 Coordinate Independence; 5 The Log-exp Scheme on Surfaces; References; 6 Wachspress and Mean Value Coordinates; 1 Introduction; 2 Barycentric Coordinates on Polygons; 3 Wachspress Coordinates; 3.1 Rational Functions; 3.2 Perpendicular Distances to Edges; 3.3 Gradients; 3.4 Curve Deformation; 4 Mean Value Coordinates; 4.1 Gradients; 4.2 Alternative Formula; 4.3 Star-Shaped Polygons; 4.4 Arbitrary Polygons
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Isogeometric Method for the Elliptic Monge-Ampère Equation -- Dual Compatible Splines on non Tensor Product Meshes -- Multivariate Anisotropic Interpolation on the Torus -- A Generalized Class of Hard Thresholding Algorithms for Sparse Signal Recovery -- On a New Proximity Condition for Manifold-Valued Subdivision Schemes -- Wachspress and Mean Value Coordinates -- Hermite and Bernstein Style Basis Functions for Cubic Serendipity Spaces on Squares and Cubes -- Suitability of Parametric Shepard Interpolation for Nonrigid Image Registration -- Parabolic Molecules: Curvelets, Shearlets and Beyond -- Microlocal Analysis of Singularities from Directional Multiscale Representations -- Barycentric Interpolation -- Numerical Determination of Extremal Points and Asymptotic Order of Discrete Minimal Riesz Energy for Regular Compact Sets -- Eigenvalue Sequences of Positive Integral Operators and Moduli of Smoothness -- Reconstructing Multivariate Trigonometric Polynomials from Samples Along Rank-1 Lattices -- On Non-degenerate Rational Approximation -- Multivariate C1-continuous Splines on the Alfeld Split of a Simplex -- On Convergence of Singular Integral Operators with Radial Kernels -- Lower Bound on the Dimension of Trivariate Splines on Cells -- One Characterization of Lagrange Projectors -- Minimal versus Orthogonal Projections onto Hyperplanes in ln1 and ln∞ -- On Hermite Interpolation by Splines with Continuous Third Derivatives -- Best Polynomial Approximation on the Unit Sphere and the Unit Ball -- Support Vector Machines in Reproducing Kernel Hilbert Spaces versus Banach Spaces
Dimensions
unknown
Extent
1 online resource (xiii, 395 pages)
File format
unknown
Form of item
online
Isbn
9783319064031
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Note
SpringerLink
Other control number
10.1007/978-3-319-06404-8
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)881427018
  • (OCoLC)ocn881427018

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