Abstract
The importance of this, theorem rests in that it integrates the algebra and analysis of the data fields, stating that, given an algebraic partition with certain restrictions, them the computation of a number of analytical descriptors independently in each partition provide for a complete and non-redundant description of the data fields.
In the design of a system of visual recognition, this complete (or truncated) algebraic-analytical descriptions are not better nor worse than other more conventional, since they don't affect the perceptive structure, but the sensorial structure.
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References
Moreno Díaz, R. y Rubio Royo, E.: “A Theoretical Model for Layered Visual Processing”. Int. J. Bio-Medical Computing, 10 (1979).
Candela, S.: “Transformaciones de Campos Receptivos Variables en Proceso de Imágenes y Visión Artificial”. Tesis Doctoral. Facultad de Informática. Universidad de Las Palmas de Gran Canaria. 1987.
Bolivar, O.: “Hacia una Teoría de las Transformaciones en Campos Receptivos y Campos de Datos”. Tesis Doctoral. Facultad de Informática. Universidad de Las Palmas de Gran Canaria. 1987.
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© 1992 Springer-Verlag Berlin Heidelberg
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Bolivar Toledo, O., Candela Sola, S., Moreno Diaz, R. (1992). Complete transforms and their incidence in artificial perception systems theory. In: Pichler, F., Díaz, R.M. (eds) Computer Aided Systems Theory — EUROCAST '91. EUROCAST 1991. Lecture Notes in Computer Science, vol 585. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0021039
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DOI: https://doi.org/10.1007/BFb0021039
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