Abstract

This paper records a structural observation obtained during recent deterministic object recognition exper iments. When an object is represented on a finite grid and normalized by centroid alignment, the spatial location variable becomes intrinsic to the representation rather than an external parameter. Extending the representation to include color values per pixel introduces a natural color-space coordinate, which can be in terpreted as an additional geometric dimension. Under this structured representation, rotational displacement does not require brute-force search. The relative shift angle emerges directly from the second-order spatial statistics (covariance structure) of the normalized object. Translation, color distribution, and rotation there fore appear as components of a unified finite geometric state rather than independent search variables. The result is a compact deterministic framework in which translation, color distribution, and orientation emerge directly from the structural representation itself. Recognition emerges through structural elimination rather than through parameter optimization, using deterministic normalization, pixel elimination search, and bound ed angle search. The proposed framework is not intended to replace modern statistical learning systems. Rather, it demonstrates that in structured environments object recognition can also emerge from deterministic structural filtering. The proposed method can therefore be viewed as a complementary paradigm to optimiza tion-based learning. In this sense, recognition is interpreted not as a process of parameter learning, but as the deterministic revelation of structural compatibility within a finite geometric representation.

DOI: doi.org/10.63721/26JPAIR0128

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