One trilateral filter based on surface normal

Authors:
Felix Calderon;Mariano Rivera
Affiliations:
Universidad Michoacana de San Nicolás de Hidalgo, División de Estudios de Posgrado, Facultad de Ingeniería Eléctrica, Morelia, Michoacán, México;Centro de Investigacion en Matematicas A.C., Guanajuato, Gto., Mexico
Venue:
MICAI'10 Proceedings of the 9th Mexican international conference on Advances in artificial intelligence: Part I
Year:
2010

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Abstract

In this paper we present an image filter based on proximity, range information and Surface Normal information, in order to distinguish discontinuities created by planes in different orientations. Our main contribution is the estimation of a piecewise smooth Surface Normal, the discontinuity for the Surface Normal and their use for image restoration. There are many applications for Surface Normals (SN) in many research fields, because it is a local measure of the surface orientation. The Bilateral Filter measure differences in range in order to weight a window around a point, this condition is equivalent to see the image as horizontal planes, nevertheless the image do not have the same orientation in different places so surface orientation could help to up perform the Bilateral Filter results. We present a Trilateral Filter (TF) based on proximity, range and Surface Normal information. In this paper, we present a robust algorithm to compute the SN and a new kernel based on SN, which does not have Gaussian formulation. With our Trilateral Filter we up perform the results obtained by BF and we shown with some experiments in which the images filter by our TF looks sharper than the image filter by BF.