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math.FA2023
Computerized Tomography and Reproducing Kernels
Ho Yun, Victor M. Panaretos
The X-ray transform is one of the most fundamental integral operators in image processing and reconstruction. In this article, we revisit the formalism of the X-ray transform by co…
math.FA2023
The Positive-Definite Completion Problem
Kartik G. Waghmare, Victor M. Panaretos
We study the positive-definite completion problem for kernels on a variety of domains and prove results concerning the existence, uniqueness, and characterization of solutions. In…