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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Generalized Radon Transforms & Imaging by Scatter Particles

Generalized Radon Transforms & Imaging by Scatter Particles

Ambartsoumian Gaik

Hardcover

CalculusGeneral MathematicsPhysics

ISBN10: 9811242437
ISBN13: 9789811242434
Publisher: World Scientific Publishing Company
Published: Mar 30 2023
Pages: 248
Weight: 1.10
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English

A generalized Radon transform (GRT) maps a function to its weighted integrals along a family of curves or surfaces. Such operators appear in mathematical models of various imaging modalities. The GRTs integrating along smooth curves and surfaces (lines, planes, circles, spheres, amongst others) have been studied at great lengths for decades, but relatively little attention has been paid to transforms integrating along non-smooth trajectories. Recently, an interesting new class of GRTs emerged at the forefront of research in integral geometry. The two common features of these transforms are the presence of a vertex in their paths of integration (broken rays, cones, and stars) and their relation to imaging techniques based on physics of scattered particles (Compton camera imaging, single scattering tomography, etc).

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