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The classic formulation of image restoration problem is as following: y = Φ x + n (1).
Specifically, the formulation of image primitives in terms of scale-space derivatives makes it possible to use tools from differential geometry for deriving relationships between image features and physical properties of objects in the environment, allowing for computationally operational and theoretically well-founded modelling of possibilities or constraints for visual perception.
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This work provides alternative analytical formulations of image forces for nanowires which are in more flexible forms compared with the infinite power series solutions from complex variable method.
In the Section 2, we present an optimal control formulation of the image registration problem.
In [3] we studied the same optimal control formulation of the image registration problem with different regularization terms and showed the existence and uniqueness of this optimization problem using appropriate theorems.
In a bit more detail, the approach considered here is based on a variational formulation of the image formation problem.
Thirty years later Fellini wrote, "I think the inspiration [for his film], even in terms of the formulation of the images, came from life as seen by the scandal sheets, L'Europeo, Oggi; the careless jaunts of the corrupt aristocracy, their way of photographing parties.
By using this formulation, a number of image processing applications can be handled such as sharpening, image stitching, and deblocking.
Multi-scale blurred versions of the parametric images together with a multi-scale formulation of the local image entropy turned out to be the most relevant features in distinguishing the tissues of interest.
For example, the formulation of IDD-BM3D image modeling in terms of the over-complete sparse frame representation for image reconstruction has led to impressive restoration performance [6].
Regarding this work, Lichtenstein stated: Tøjner describes the work as "Lichtenstein's finest formulation of a counter-image to the many explosions in his universe", noting that the drama is past its peak although it may seem to be at a crescendo.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com