Wavelets (Applications):

Articles in Refereed Journals

1. Vasilyev, O.V., Gerya, T.V, and Yuen, D.A., The Application of Multidimensional Wavelets to Unveiling Multi-Phase Diagrams and in Situ Physical Properties of Rocks. Earth and Planetary Science Letters, 223(1-2), pp. 49-64, 2004.
2. Yuen, D.A., Erlebacher, G., Vasilyev, O.V., Goldstein, D.E., and Fuentes, M., Role of Wavelets in the Physical and Statistical Modeling of Complex Geological Processes. Pure and Applied Geophysics, 161, pp., 2231-2244, 2004.
3. Ma, J., Hussaini, M.Y., Vasilyev, O.V., and Le Dimet, F.-X., Multiscale Geometric Analysis of Turbulence by Curvelets, Physics of Fluids, 21(7), pp. 075104.1-075104.19, 2009.
4. Fujinoki, K. and Vasilyev, O.V., Triangular Wavelets: An Isotropic Image Representation with Hexagonal Symmetry, EURASIP Journal on Image and Video Processing, Vol. 2009, Article ID 248581, 16 pages, 2009.
5. Mishin, Yu.A., Vasilyev, O.V., and Gerya, T.V., A wavelet-based adaptive finite element method for the Stokes problems. Fluids. 7(7), 221, https://doi.org/10.3390/fluids7070221, 2022.
6. Vezolainen, A.V., Erlebacher, G., Vasilyev, O.V., and Yuen, D.A., Volumetric rendering on wavelet-based adaptive grid. Fluids. 7(7), 245, https://doi.org/10.3390/fluids7070245, 2022.

Conference and Symposium Papers

1. Sakakibara, S. and  Vasilyev, O.V, Image Processing with Triangular Biorthogonal Wavelets, In Proceedings of 14th European Signal Processing Conference, Florence, Italy, 2006.