Discrete Tomography Based on DC Programming and DCA

In this article, we present a new continuous approach based on DC (Difference of Convex functions) programming and DC algorithms (DCA) to the Discrete Tomography. We are concerned with the reconstruction of binary images from their projections in a smaller number of directions. We treat this problem...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:2010 IEEE RIVF International Conference on Computing and Communication Technologies, Research, Innovation, and Vision for the Future S. 1 - 6
Hauptverfasser: Le Thi Hoai An, Nguyen Trong Phuc, Pham Dinh Tao
Format: Tagungsbericht
Sprache:Englisch
Veröffentlicht: IEEE 01.11.2010
Schlagworte:
Convergence
Convex functions
Image reconstruction
Linear programming
Programming
Spatial coherence
Tomography
ISBN:9781424480746, 1424480744
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this article, we present a new continuous approach based on DC (Difference of Convex functions) programming and DC algorithms (DCA) to the Discrete Tomography. We are concerned with the reconstruction of binary images from their projections in a smaller number of directions. We treat this problem as DC programs. DC programming and DCA, becoming now classic, have been introduced by PHAM DINH T. in 1985 and extensively developed by LE THI H. A. and PHAM DINH T. since 1994. The DCA has been successfully applied to a lot of various large-scale differentiable or nondifferentiable nonconvex programs for which it has provided quite often global solutions (see, and references therein). Preliminary numerical experiments show the efficiency of the proposed algorithms.
ISBN:9781424480746
1424480744
DOI:10.1109/RIVF.2010.5633367