We propose a partially learned approach for the solution of ill-posed inverse problems with
not necessarily linear forward operators. The method builds on ideas from classical …

We describe a principle to determine which features of an object will be easy to reconstruct
from limited X-ray CT data and which will be difficult. The principle depends on the geometry …

Abstract x-ray computed tomography (CT) has been widely used in clinical diagnosis as a
modality of medical imaging. To decrease the radiation dose patients suffering from, sparse …

We introduce a reconstruction framework that can account for shape related prior
information in imaging-related inverse problems. It is a variational scheme that uses a shape …

Background: With the popularity of computed tomography (CT) technique, an increasing
number of patients are receiving CT scans. Simultaneously, the public's attention to CT …

Recently, integral invariants and according signatures have been identified to be useful for
shape classification, which is an important research topic in computer vision, artificial …

This paper proposes a novel approach to extracting local geometric features of the cultural
relic. We first calculate Gaussian and mean curvature of the model. Then the surfaces of …

In this work, we study the problem of reconstructing shapes from simple nonasymptotic
densities measured only along shape boundaries. The particular density we study is also …

Denne oppgaven undersøker problemet med å invertere Radon-transformasjonen av en
form, hvor vi kun har tilgjengelig data fra et fåtall vinkler i et begrenset intervall. For å løse …

Modern geometric measure theory, developed largely to solve the Plateau problem, has
generated a great deal of technical machinery which is unfortunately regarded as …