Curve Reconstruction in Inverse Problems: From Divergence-Measure Vector Fields to Density Lebesgue Measures
Résumé
We introduce a new approach to perform curve reconstruction in microscopy images via vector field optimization. By formulating the problem in a suitable functional space, we establish equivalence in terms of solutions with the functional developed in a previous work within the divergence measure fields space. This allows for the use of traditional convex optimization algorithms for optimization.
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