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Geometric and conceptual knowledge representation within a generative model of visual perception

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Abstract

A representation scheme of knowledge at both the geometric and conceptual levels is offered which extends a generative theory of visual perception. According to this theory, the perception process proceeds through different scene representations at various levels of abstraction. The geometric domain is modeled following the CSG (constructive solid geometry) approach, taking advantage of the geometric modelling scheme proposed by A. Pentland, based on superquadrics as representation primitives. Recursive Boolean combinations and deformations are considered in order to enlarge the scope of the representation scheme and to allow for the construction of real-world scenes. In the conceptual domain, objects and relationships are represented using KL-ONE, a frame-based knowledge representation formalism which allows hierarchical and structural descriptions. Questions arising from the integration of logical and analogical knowledge representation are also faced; in the end likeness and approximation relationships between objects and prototypical conceptual models for classification purposes are investigated within the framework of fuzzy set theory.

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Ardizzone, E., Gaglio, S. & Sorbello, F. Geometric and conceptual knowledge representation within a generative model of visual perception. J Intell Robot Syst 2, 381–409 (1989). https://doi.org/10.1007/BF00247915

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