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Tensor tomography: progress and challenges

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arxiv 1303.6114 v1 pith:WM3EJRLV submitted 2013-03-25 math.DG math.AP

classification math.DGmath.AP
keywords progresstensoralongchallengesfieldgeodesicsintegralsopen
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We survey recent progress in the problem of recovering a tensor field from its integrals along geodesics. We also propose several open problems.

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Cited by 1 Pith paper

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  1. Neural Vector Tomography for Reconstructing a Magnetization Vector Field

    cond-mat.dis-nn 2024-12 conditional novelty 6.0 of 10

    Neural field reconstruction of magnetization vector fields from probed ray transforms is more noise-robust than a discretized iterative method, with an SO(2)-equivariant variant for symmetric fields.

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