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Meshfree Methods with Applications
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Meshfree Methods with Applications
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Academic year 2017/2018
- Teaching staff
- Prof. Roberto Cavoretto (Lecturer)
Prof. Alessandra De Rossi (Lecturer) - Type
- Basic
- Course disciplinary sector (SSD)
- MAT/08 - analisi numerica
- Delivery
- Formal authority
- Language
- Italian
- Attendance
- Obligatory
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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 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 approximationSuggested 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.
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
Duration and period: 30 hours (March-May 2018)
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