A magnetic resonance is an image obtained by means of an imaging test that uses magnets and radio waves to create body images, however, in some images it’s difficult to recognize organs or foreign agents present in the body. With these Bessel filters the objective is to significantly increase the resolution of magnetic resonance images taken to make them much clearer in order to detect anomalies and diagnose the illness. As it’s known, Bessel filters appear to solve the Schrödinger equation for a particle enclosed in a cylinder and affect the image distorting the colors and contours of it, therein lies the effectiveness of these filters, since the clear outline shows more defined and easy to recognize abnormalities inside the body.
The purpose of this paper is to demonstrate the implementation of a new kind of image filter, in which the
equations of the Ornstein-Uhlenbeck process are used in image processing in order to detect the edges of
computerized images taken with magnetic resonance imaging (MRI) scanners, as a generalization of the standard
Gaussian filter.
This new filter will be called Ornstein-Uhlenbeck filter (OUF). One of the results obtained after applying the filter to
the image, with the variation of the parameter σ is an effective differentiation of the various organs that are next to
each other in each one of the resulting images. In addition, the edges of the internal body parts and organs are
highlighted efficiently and differentiated from their surroundings.
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