Sentence examples for dual frames from inspiring English sources

We present design methods and examples for both types of dual frames.

A pair of dual frames with almost exponentially localized elements (needlets) are constructed on Rd+ based on Laguerre functions.

An approach for designing a sort of affine biariate dual frames in two-dimensional space is presented.

We describe two cases of dual frames: symmetric frames with redundant highpass filters and symmetric frames with redundant bandpass filters.

We obtain a complete characterization of spectrally one-erasure optimal dual frames in terms of the redundancy distribution of the prescribed frame.

Then we use the method to construct m band affine (wavelet) frames with the given scaling filter and the dual frames.

Only the redundant filters are different, thus obtaining a dual frame approximating tight frames.

There is considerable advantage, however, in having a dual frame of reference recognizing the value of both the clear and the ambiguous.

Additionally, we also establish several necessary and sufficient conditions for the existence of an alternate dual frame to make the iterative reconstruction work.

The first PsD tests were conducted on a dual frame-wall precast system, where two precast shear wall units were connected to the mock up.

The algorithm comprises multiple stages, including dual frame length ICAMS, a multi-classifier-based PPG correlated component selector, line spectral analysis, tree-based HR monitoring, and post-processing.