Abstract
Until recently the known invertible classes of Radon transforms on circles of R2 are those defined on circles with their centers on a line or on another circle and those defined on circles that go through a fixed point. In this work we discuss a new class of Radon transforms which are defined on a family of circles which have a common chord of fixed length rotating around its middle point. An analytic inverse formula is derived leading the way to the reconstruction of L1(R2)‐functions with compact support. We implement this inversion using a numerical approach to illustrate function reconstruction. This transform has also its application in the modeling of a new modality in Compton scatter Tomography, which is in particular relevant for medical imaging and non‐destructive evaluation.
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