Mathematics – Numerical Analysis
Scientific paper
2011-01-03
Mathematics
Numerical Analysis
Scientific paper
In this paper, we present an image separation method for separating images into point- and curvelike parts by employing a combined dictionary consisting of wavelets and compactly supported shearlets utilizing the fact that they sparsely represent point and curvilinear singularities, respectively. Our methodology is based on the very recently introduced mathematical theory of geometric separation, which shows that highly precise separation of the morphologically distinct features of points and curves can be achieved by $\ell^1$ minimization. Finally, we present some experimental results showing the effectiveness of our algorithm, in particular, the ability to accurately separate points from curves even if the curvature is relatively large due to the excellent localization property of compactly supported shearlets.
Kutyniok Gitta
Lim Wang-Q
No associations
LandOfFree
Image Separation using Wavelets and Shearlets has received 1 rating(s) and 1 review(s), resulting in an average rating of 3.00 on a scale from 1 to 5. The overall rating for this scientific paper is not bad.
If you have personal experience with Image Separation using Wavelets and Shearlets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Image Separation using Wavelets and Shearlets will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-239048