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. It is widely believed that to e±ciently represent an otherwise smooth object with discontinuities along edges, one must use an adaptive representation that in some sense `tracks' the shape of the ...
Curvelets and Curvilinear Integrals     Wavelets  Curvelets  Ridgelets       2015/8/21
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 ¡ which acts on vector ˉelds ~v(x1; x2) : R2 7! R2 by line integration ac...
We present variants of both the digital curvelet transform, and the digital wave atom transform, which handle the image boundaries by mirror extension. Previous versions of these transforms treated im...
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...
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...

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