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Meshless Methods, Algorithms and Applications
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Meshless Methods, Algorithms and Applications
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Academic year 2018/2019
- Teaching staff
- Prof. Roberto Cavoretto
Prof. Alessandra De Rossi - Type
- Basic
- Course disciplinary sector (SSD)
- MAT/08 - analisi numerica
- Delivery
- Formal authority
- Language
- English
- Attendance
- Obligatory
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Sommario del corso
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Program
Programma
- Scattered data interpolation.
- Kernel methods and radial basis functions.
- Partition of unity methods.
- Generation of scattered data sets on the plane and on 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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Testi consigliati e bibliografia
- M. D. Buhmann, Radial Basis Functions: Theory and Implementation, Cambridge Monogr. Appl. Comput. Math., vol. 12, Cambridge Univ. Press, Cambridge, 2003.
- 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 Academic Publishers, 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 2019)
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