Korteweg-de Vries-Kuramoto-Sivashinsky filters in biomedical image processing

Arango, Juan Camilo

doi:10.1117/12.2187439

Cited by 1 publication

(2 citation statements)

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“…The Korteweg-de Vries-Kuramoto-Sivashinsky filter was designed applying the Kuramoto-Sivashinsky operator [8] on the Korteweg-de Vries soliton [9]. In [7] was showed that the Kuramoto-Sivashinsky-Korteweg-de Vries Filter is an excellent tool for enhancement of images. From other side, other classes of new filters have been introduced recently in digital image processing: Bessel filters were proposed in [10], Morse filters were applied in [11], Ornstein-Uhlenbeck filters were studied in [12] and some quantum filters were presented in [13,14,15].…”

Section: Introductionmentioning

confidence: 99%

“…In [1] was showed that the Airy-Kaup-Kupershmidt filter is a powerful edge detector [5,6] and is also a powerful enhancement tool in image processing. Also in a recent work the so called Korteweg-de Vries-Kuramoto-Sivashinsky filter was applied to biomedical image processing [7]. The Korteweg-de Vries-Kuramoto-Sivashinsky filter was designed applying the Kuramoto-Sivashinsky operator [8] on the Korteweg-de Vries soliton [9].…”

Section: Introductionmentioning

confidence: 99%

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Vessel extraction using the Buckmaster-Airy filter

Sánchez

2016

SPIE Proceedings

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A new and powerful technique for vessel extraction from biomedical images using the so called BuckmasterAiry Filter is designed, prototyped and tested. The design, the prototyping and the testing were performed using computer algebra software, specifically the Maple package ImageTools. Some preliminary experiments were performed ant the results were excellent. Our new technique is based on partial differential equations.. Specifically two dimensional Airy diffusion equation and the two dimensional Buckmaster equation were used for designing the new Buckmaster-Airy Filter. Such new filter is able to enhance the quality of an image, producing simultaneously noise elimination, but without altering the edges of the image. The new Bukmaster-Airy filter is applied to the target image via discrete convolution. The results of some experiments of vessel extraction will be presented; and some lines for future research such as the possible implementation of the Buckmaster-Airy Filter as a new plugging for the program ImageJ, will be proposed.

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