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Meshless Approximation Methods and Applications
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Meshless Approximation Methods and Applications
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Academic year 2016/2017
- Teaching staff
- Prof. Roberto Cavoretto (Lecturer)
Prof. Alessandra De Rossi (Lecturer) - Type
- Comune .....
- Credits/Recognition
- 6 CFU
- Course disciplinary sector (SSD)
- MAT/08 - analisi numerica
- Delivery
- Tradizionale
- Language
- Italiano
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Sommario del corso
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Program
• Scattered data interpolation.• Kernel methods and radial basis functions.• Partition of unity methods.• Generation of scattered data sets on the plane and the sphere.• Spherical interpolation.• Application of radial basis functions in image processing.• Fast algorithms for interpolation of large scattered data sets.• Numerical linear algebra methods in scattered data approximation.Suggested readings and bibliography
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- • M. D. Buhmann, Radial Basis Functions: Theory and Implementation, Cambridge Monogr. Appl. Comput. Math., vol. 12, Cambridge Univ. Press, Cambridge, 2003.• R. H. Chan, X. Q. Jin, An Introduction to Iterative Toeplitz Solvers, SIAM, Philadelphia, 2007.• G. E. Fasshauer, Meshfree Approximation Methods with Matlab, World Scientific Publishers, Singapore, 2007.• G. Fasshauer, M. McCourt, Kernel-based Approximation Methods using Matlab, World Scientific, Singapore, 2015.• J. Modersitzki, Numerical Methods for Image Registration, Oxford Univ. Press, New York, 2004.• K. Rohr, Landmark-Based Image Analysis, Using Geometric and Intensity Models, Kluwer AcademicPublishers, Norwell, MA, 2001.• H. Wendland, Scattered Data Approximation, Cambridge Monogr. Appl. Comput. Math., vol. 17, Cambridge Univ. Press, Cambridge, 2005.
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Note
Durata e periodo del corso: 30 hours (March - May 2017)
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