Comput. Biol. Med. - An implicit evolution scheme for active contours and surfaces based on IIR filtering.

Tópicos

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Resumo

In this work, we present an approach for implementing an implicit scheme for the numerical solution of the partial differential equation of the evolution of an active contour/surface. The proposed scheme is applicable to any variant of the traditional active contour (AC), irrespectively of the calculation of the image-based force field and it is readily applicable to explicitly parameterized active surfaces (AS). The proposed approach is formulated as an infinite impulse response (IIR) filtering of the coordinates of the contour/surface points. The poles of the filter are determined by the parameters controlling the shape of the active contour/surface. We show that the proposed IIR-based implicit evolution scheme has very low complexity. Furthermore, the proposed scheme is numerically stable, thus it allows the convergence of the AC/AS with significantly fewer iterations than the explicit evolution scheme. It also possesses the separability property along the two parameters of the AS, thus it may be applied to deformable surfaces, without the need to store and invert large sparse matrices. We implemented the proposed IIR-based implicit evolution scheme in the Vector Field Convolution (VFC) AC/AS using synthetic and clinical volumetric data. We compared the segmentation results with those of the explicit AC/AS evolution, in terms of accuracy and efficiency. Results show that the VFC AC/AS with the proposed IIR-based implicit evolution scheme achieves the same segmentation results with the explicit scheme, with considerably less computation time.

Resumo Limpo

work present approach implement implicit scheme numer solut partial differenti equat evolut activ contoursurfac propos scheme applic variant tradit activ contour ac irrespect calcul imagebas forc field readili applic explicit parameter activ surfac propos approach formul infinit impuls respons iir filter coordin contoursurfac point pole filter determin paramet control shape activ contoursurfac show propos iirbas implicit evolut scheme low complex furthermor propos scheme numer stabl thus allow converg aca signific fewer iter explicit evolut scheme also possess separ properti along two paramet thus may appli deform surfac without need store invert larg spars matric implement propos iirbas implicit evolut scheme vector field convolut vfc aca use synthet clinic volumetr data compar segment result explicit aca evolut term accuraci effici result show vfc aca propos iirbas implicit evolut scheme achiev segment result explicit scheme consider less comput time

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