A Rational Design of a Digital Shearlet Transform
نویسندگان
چکیده
In this paper, we first develop a digital shearlet theory which is rationally designed in the sense that it is the digitalization of the existing shearlet theory for continuum data. This shows that shearlet theory indeed provides a unified treatment for the continuum and digital realm. Secondly, we discuss our implementation of the associated digital shearlet transform. This software package called ShearLab is also rationally designed by providing various performance measures quantifying precision of the reconstruction, tightness of the frame, robustness of the shearlet transform, and other properties. Such quantitative performance metrics allow us to tune parameters and objectively improve our implementation as well as compare different directional transform implementations. Keywords— Digital shearlet theory, Parabolic Scaling, Pseudo-Polar Grid, Shearlets, Test Measures.
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