Using Complementary Types of Data for 3D Flaw Imaging

Gautier, S.; Lavayssière, B.; Fleuet, E.; Idier, Jérôme

doi:10.1007/978-1-4615-5339-7_108

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Reconstruction Of Elongated Structures1

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2000

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Cited by 2 publications

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“…For its discovery, more than one projection is needed. Due to reasons of safety and relatively high cost of x-ray inspection, usually two or three projections are used [21]. If we have two projections p β 1 and p β 2 , the unknown inclination parameter θ of an elongated structure h θ can be found numerically from the following equations, for some suitable k (c (k)…”

Section: Reconstruction Of Elongated Structuresmentioning

confidence: 99%

Reconstruction of elongated structures using ridge functions and natural pixels

Kazantsev

Lemahieu

2000

Inverse Problems

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In this work, reconstruction of elongated structures from a finite number of projections using ridge functions within the framework of parallel beam geometry is considered. Discretized versions of ridge functions, or natural pixels are used to obtain reconstruction from sampled data. Inversion formulae for both ray-and strip-based projection data are derived. Possibilities of detecting the direction of elongated structures from few projections and detecting the defects in regular textures are discussed.

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Section: Reconstruction Of Elongated Structuresmentioning

confidence: 99%