Shearlet shrinkage with integro-differential equations using 3-dimensional continuous shearlet transform
Shearlet shrinkage with integro-differential equations using 3-dimensional continuous shearlet transform
The generalization of continuous wavelet, a directional multiscale is known as continuous shearlet which is able to study the directional functions and distributions. Many useful features do not carry from 2-dimensional to 3-dimensional cases due to the complexity of singularity sets defined on surfaces rather than along curves. Therefore, we obtained a relation between 3-dimensional continuous shearlet transform and sum of smoothed partial derivative operators. The transform has been explained as a weighted average of pseudo-differential equations. Our results are applicable in medical and seismic imaging related problems. Publisher's Version
- ISIK UNIVERSITY Turkey
- Al Baha University Saudi Arabia
Directional multiscale transform, Integro-differential equations and smoothed partial operators, Shearlet shrinkage
Directional multiscale transform, Integro-differential equations and smoothed partial operators, Shearlet shrinkage
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