Continuous Shearlet Tight Frames
نویسنده
چکیده
Based on the shearlet transform we present a general construction of continuous tight frames for L(R) from any sufficiently smooth function with anisotropic moments. This includes for example compactly supported systems, piecewise polynomial systems, or both. From the results in [5] it follows that these systems enjoy the same desirable approximation properties for directional data as the bandlimited and very specific constructions of [8]. We also show that the representation formulae we derive are in a sense optimal for the shearlet transform.
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