Correlation-based rotational signature of planar binary objects

Gonzalo Urcid-Serrano; Alfonso Padilla-Vivanco; Alejandro Cornejo-Rodriguez; Javier Baez-Rojas

doi:10.1117/12.558744

2 November 2004 Correlation-based rotational signature of planar binary objects

Gonzalo Urcid-Serrano, Alfonso Padilla-Vivanco, Alejandro Cornejo-Rodriguez, Javier Baez-Rojas

Proceedings Volume 5558, Applications of Digital Image Processing XXVII; (2004) https://doi.org/10.1117/12.558744
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

In this paper we introduce the affine spatial overlap operation defined as a generalization of the two-dimensional convolution and cross-correlation operations. Our attention is focused on the rotational overlap operation and some of its mathematical properties as well as its application to shape description. Based on the auto-rotational overlap operation, a one-dimensional signature is proposed as a shape representation for planar binary objects with bounded support. We provide illustrative examples of its digital computation using different binary objects. In addition, physical realization of the 2-D rotational overlap operation is demonstrated with a hybrid optical-digital system for real time processing. The experimental setup uses a microcomputer controlled high-precision rotatory stage for performing analog rotations at the input plane of an incoherent two lens correlator architecture.

Citation Download Citation

Gonzalo Urcid-Serrano, Alfonso Padilla-Vivanco, Alejandro Cornejo-Rodriguez, and Javier Baez-Rojas "Correlation-based rotational signature of planar binary objects", Proc. SPIE 5558, Applications of Digital Image Processing XXVII, (2 November 2004); https://doi.org/10.1117/12.558744

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