Smoothing technique for adaptive meshes produced by self organizingmaps
The smoothness problem of adaptive meshes produced by the Self-Organizing Maps is considered. It is shown that to improve the mesh smoothness, it is necessary to increase the learning radius. This leads, in turn, to the notorious border effect. The main goal ofthis paper is to develop a technique allowing us to use a large learning radius for obtaining the sufficiently smooth adaptive meshes without border effect.
Keywords
border effect ,
Kohonen's self organizing maps ,
smoothing ,
adaptive meshes ,
граничный эффект ,
самоорганизующиеся карты Кохонена ,
сглаживание ,
Адаптивные сетки Authors
Всего: 1
References
Kohonen T. Self-organizing Maps // Springer Series in Information Sciences, V. 30, Springer, Berlin, Heidelberg, New York, 2001.
Ritter, H. Self-Organizing Maps on Non-Euclidean Spaces, In: Oja E, Kaski S, editors. Kohonen maps. Amsterdam. The Netherlands: Elsevier BV; 1999. P. 97 - 109.
Fritzke B. Some competitive learning methods. Technical report, Systems Biophysics, Inst. for Neural Comp., Ruhr-Universität Bochum, April 1997.
Nechaeva O. Composition of Self Organizing Maps for Adaptive Mesh Construction on Complex-shaped Domains // Proc. of 6th Int. Workshop on Self-Organizing Maps (WSOM 2007), Bielefeld, Germany, September 3 - 6, 2007.
Gordon W.J., Thiel L.C. Transfinite mappings and their applications to grid generation. // Numerical Grid Generation, Appl. Math. and Comp. V. 2/3, 1982. P. 171 - 192.
Brankov J.G., Yang Y., Galatsanos N.P. Image restoration using content-adaptive mesh modeling. // ICIP 03, Vol. II, 2003, P. 997 - 1000.
Хакимзянов Г.С., Шокин Ю.И., Барахнин В.Б., Шокина Н.Ю. Численное моделирование течений жидкости с поверхностными волнами. Новосибирск: Изд-во СО РАН, 2001.
Лебедев А.С., Лисейкин В.Д., Хакимзянов Г.С. Разработка методов построения адаптивных сеток. // Вычислительные технологии. Том 7, №3, 2002. C. 29.