IEEE Trans Image Process - Projection-based polygonality measurement.

Tópicos

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Resumo

Measuring the degree to which a shape resembles a polygon (referred to as polygonality) is a difficult problem due to the intrinsic diversity in the form and distortion of shapes caused by digitization and similarity transformation. This paper proposes a generic approach for this problem by performing the measurement in the projection space where the Radon image of some primitive shapes, which compose the shape, becomes apparent. The obtained measures take value in (0, 1] with 1 corresponding to analytical polygons. They are robust to additive noise and boundary distortion, and is invariant to similarity transformation. The new framework generalizes existing polygonal measures such as triangularity and quadrangularity. In addition, the ability to estimate polygon's geometric quantities in the projection space allows approximating a shape by analytical polygons. The efficiency of the proposed approach is demonstrated through a number of experiments on both synthetic and real data sets.

Resumo Limpo

measur degre shape resembl polygon refer polygon difficult problem due intrins divers form distort shape caus digit similar transform paper propos generic approach problem perform measur project space radon imag primit shape compos shape becom appar obtain measur take valu correspond analyt polygon robust addit nois boundari distort invari similar transform new framework general exist polygon measur triangular quadrangular addit abil estim polygon geometr quantiti project space allow approxim shape analyt polygon effici propos approach demonstr number experi synthet real data set

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