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An automatic algorithm capable of segmenting the whole vessel tree and calculate vessel diameter and orientation in a digital ophthalmologic image is presented in this work. The algorithm is based on a parametric model of a vessel that can assume arbitrarily complex shape and a simple measure of match that quantifies how well the vessel model matches a… (More)
Generalizations of the classical and perturbed trapezoid inequalities are developed using a new mean value theorem for the remainder in Taylor's formula. The resulting inequalities for N-times differentiable mappings are sharp.
In this paper a new approach for the steady state Kalman Filter implementation is proposed. The method is faster than the classical one; this is very important due to the fact that, in most real-time applications, it is essential to obtain the estimate in the shortest possible time.
This work investigates the usefulness of univariate Hermite interpolation of the total degree (HTD) for a biomedical signal processing task: slice interpolation in a variety of medical imaging modalities. The HTD is an algebraically demanding interpolation method that utilizes information of the values of the signal to be interpolated at distinct support… (More)
Univariate Hermite interpolation of the total degree (HTD) is an algebraically demanding interpolation method that utilizes information of the values of the signal to be interpolated at distinct support positions, as well as the values of its derivatives up to a maximum available order. In this work the interpolation kernels of the univariate HTD are… (More)
—Generalized cylinders (GCs) have been proposed in computer vision for object modeling in two dimensional images. However approaches so far have not investigated closed form solutions, based on a formal generic definition that covers every possible family of surfaces. In this work we derive the parametric definition of the torus–like surface that is… (More)