We have designed an adaptive essentially nonoscillatory (ENO)-wavelet transform for approximating discontinuous functions without oscillations near the discontinuities. Our approach is to apply the ...

The transform is similar to applying Fourier, but instead of decomposing to a series of infinite sine waves, wavelet transformation decomposes signals into finite functions that meet certain ...

We attempt to recover an unknown function from noisy, sampled data. Using orthonormal bases of compactly supported wavelets, we develop a nonlinear method which works in the wavelet domain by simple ...