An efficient algorithm to compute the X-ray transform
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DOI: 10.1080/00207160.2021.1969017
Abstract: We propose a new algorithm to compute the X-ray transform of an image represented by unit (pixel/voxel) basis functions. The fundamental issue is equivalently calculating the intersection lengths of the ray with associated units. For… read more here.
Keywords: ray transform; ray; compute ray; algorithm compute ... See more keywords
On the s-injectivity of the x-ray transform on manifolds with hyperbolic trapped set
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinearity"
DOI: 10.1088/1361-6544/aaf81b
Abstract: For smooth compact connected manifolds with strictly convex boundary, no conjugate points and a hyperbolic trapped set, we prove an equivalence principle concerning the injectivity of the X-ray transform $I_m$ on symmetric solenoidal tensors and… read more here.
Keywords: hyperbolic trapped; ray transform; injectivity ray;