Optimization strategies for sparseness- and continuity-enhanced imaging: theory

TitleOptimization strategies for sparseness- and continuity-enhanced imaging: theory
Publication TypeConference
Year of Publication2005
AuthorsFelix J. Herrmann, Peyman P. Moghaddam, Rodney Kirlin
Conference NameEAGE Annual Conference Proceedings
Month06
OrganizationEAGE
KeywordsEAGE, SLIM
Abstract

Two complementary solution strategies to the least-squares migration problem with sparseness- and continuity constraints are proposed. The applied formalism explores the sparseness of curvelets on the reflectivity and their invariance under the demigration-migration operator. Sparseness is enhanced by (approximately) minimizing a (weighted) l1-norm on the curvelet coefficients. Continuity along imaged reflectors is brought out by minimizing the anisotropic diffusion or total variation norm which penalizes variations along and in between reflectors. A brief sketch of the theory is provided as well as a number of synthetic examples. Technical details on the implementation of the optimization strategies are deferred to an accompanying paper: implementation.

URLhttps://www.slim.eos.ubc.ca/Publications/Public/Conferences/EAGE/2005/Herrmann05EAGEosf/Herrmann05EAGEosf.pdf
URL1

http://earthdoc.eage.org/publication/publicationdetails/?publication=1343

Citation Keyherrmann2005EAGEosf