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2-D nonseparable multiscaling function interpolation and approximation with an arbitrary dilation matrix |
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| Institution: | 1. Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, 1-274, Cambridge, MA 02139, USA;2. Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, 1-245, Cambridge, MA 02139, USA |
| Abstract: | We introduce nonseparable multiscaling function interpolation and show that its approximation can provide similar convergence properties as scalar wavelet system. An equivalent condition for approximation accuracy for nonseparable multiscaling function is also given. |
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