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Let C(t) : I 7→ R2 be a simple closed unit-speed C2 curve in R2 with normal ~ n(t). The curve C generates a distribution Γ which acts on vector fields ~ v(x1,x2) : R2 7→ R2 by line integration accordi...
A recent body of work introduced new tight-frames of curvelets [3, 4] to address key problems in approximation theory and image processing. This paper shows that curvelets essentially provide optimall...
New Tight Frames of Curvelets and Optimal Representations of Objects with C2 Singularities
Curvelets wavelets second dyadic decomposition edges nonlinear approximation singularities thresholding Radon transform
2015/6/17
This paper introduces new tight frames of curvelets to address the problem of finding optimally sparse representations of objects with discontinuities along C2 edges.Conceptually, the curvelet transfo...