摘要
This paper designs a segmentation method for an image based on its Fourier spectral data.An edge map is generated directly from the Fourier coefficients without first reconstructing the image in pixelated form.Consequently the internal boundaries of the edge map are not blurred by any(filtered)Fourier reconstruction.The edge map is then processed with an edge linking segmentation algorithm.We include examples from magnetic resonance imaging(MRI).Our results illustrate some potential benefits of using high order methods in imaging.
基金
This work was partially supported by NSF grants CNS 0324957,DMS 0510813
DMS 0652833
NIH grant EB 02553301(AG)The first author would also like to thank the ICOSAHOM committee for the invitation to speak at this conference.
