Abstract
The class of flat triangular and layered nets of simple computing units, which gives rise to Newton and Hermite filters in two dimensions are extended to 3-D by means of two natural discrete ways. First, by means of the so called Pascal Pyramids; and second, by introducing a rectangular grilled “retina”, which leads to a kind of Newton quadrangular pyramids and to 3-D Newton Filters and Nets. Both cases can be extended to the continuous in the form of 2-D Hermite functions and filters of different orders (degree of derivatives). Preliminary results and examples are presented.
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Acknowledgments
This work has been supported, in part, by Spanish Ministry of Science projects MTM2011-28983-CO3-03 and MTM2014-56949-C3-2-R.
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Moreno-Díaz, A., de Blasio, G., Moreno-Díaz, R. (2015). A Class of 3-D Distributed Modular Computing Nets. In: Moreno-Díaz, R., Pichler, F., Quesada-Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2015. EUROCAST 2015. Lecture Notes in Computer Science(), vol 9520. Springer, Cham. https://doi.org/10.1007/978-3-319-27340-2_14
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DOI: https://doi.org/10.1007/978-3-319-27340-2_14
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