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Meshless Approximation Methods and Applications

 

Meshless Approximation Methods and Applications

 

Anno accademico 2016/2017

Docenti
Prof. Roberto Cavoretto (Titolare del corso)
Prof. Alessandra De Rossi (Titolare del corso)
Tipologia
Comune .....
Crediti/Valenza
6 CFU
SSD attività didattica
MAT/08 - analisi numerica
Erogazione
Tradizionale
Lingua
Italiano
 
 

Programma

• 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.
 

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.
• 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 Academic
Publishers, Norwell, MA, 2001.
• H. Wendland, Scattered Data Approximation, Cambridge Monogr. Appl. Comput. Math., vol. 17, Cambridge Univ. Press, Cambridge, 2005.
 
 

Note

Durata e periodo del corso: 30 hours (March - May 2017)

 
Ultimo aggiornamento: 26/01/2017 14:45
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