Introducing shape constraints into object-based traveltime tomography. (5th July 2016)

• Record Type: Journal Article
• Authors: Gaullier, G; Charbonnier, P; Heitz, F; Côte, P
• Is Part Of: Inverse problems. Volume 32:Number 9(2016:Sep.)
• Publication Date: 2016-07-05
• Subjects: traveltime tomography -- level set method -- geoacoustic inversion -- shape-constrained reconstruction; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/0266-5611/32/9/095002
• Languages: English
• ISSNs: 0266-5611

Abstract

Abstract: Traveltime tomography is a difficult, ill-posed reconstruction problem due to the nonlinearity of the forward model and the limited number of measurements usually available. In such an adverse situation, pixel-based regularization methods are generally unable to provide satisfactory reconstructions. In this paper we propose a novel object-based reconstruction method that introduces prior information about the shape of the structures to be reconstructed, which yields high quality geoacoustic inversion. The proposed method approaches the forward model by a series of linear problems, leading to a sequence of minimizations during which the shape prior is introduced. The method is demonstrated on synthetic and real data, collected on a specific bench dedicated to non-destructive testing of civil engineering structures.