An anisotropic directional subdivision and multiresolution scheme
- First Online:
- Cite this article as:
- Cotronei, M., Ghisi, D., Rossini, M. et al. Adv Comput Math (2015) 41: 709. doi:10.1007/s10444-014-9384-x
- 108 Downloads
In order to handle directional singularities, standard wavelet approaches have been extended to the concept of discrete shearlets in Kutyniok and Sauer (SIAM J. Math. Anal. 41, 1436–1471, 2009). One disadvantage of this extension, however, is the relatively large determinant of the scaling matrices used there which results in a substantial data complexity. This motivates the question whether some of the features of the discrete shearlets can also be obtained by means of different geometries. In this paper, we give a positive answer by presenting a different approach, based on a matrix with small determinant which therefore offers a larger recursion depth for the same amount of data.
KeywordsSubdivision Filterbank Multiple multiresolution analysis
Mathematics Subject Classification (2000)65T60 41A05 42C15
Unable to display preview. Download preview PDF.