Symmetry of fuzzy data

H. Zabrodsky; Shmuel Peleg; David Avnir

doi:10.1109/ICPR.1994.576336

Symmetry of fuzzy data

H. Zabrodsky
, Shmuel Peleg
, David Avnir

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Symmetry is usually viewed as a discrete feature: an object is either symmetric or non-symmetric. Following the view that symmetry is a continuous feature, a continuous symmetry measure (CSM) has been developed to evaluate symmetries of shapes and objects. In this paper the authors extend the symmetry measure to evaluate the imperfect symmetry of fuzzy shapes, i.e. shapes with uncertain point localization. The authors find the probability distribution of symmetry values for a given fuzzy shape. Additionally, for every such fuzzy shape, the authors find the most probable symmetric shape

Original language	English
Title of host publication	Proceedings of 12th International Conference on Pattern Recognition
Pages	499-504
Volume	1
DOIs	https://doi.org/10.1109/ICPR.1994.576336
State	Published - 9 Nov 1994
Externally published	Yes

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title = "Symmetry of fuzzy data",

abstract = "Symmetry is usually viewed as a discrete feature: an object is either symmetric or non-symmetric. Following the view that symmetry is a continuous feature, a continuous symmetry measure (CSM) has been developed to evaluate symmetries of shapes and objects. In this paper the authors extend the symmetry measure to evaluate the imperfect symmetry of fuzzy shapes, i.e. shapes with uncertain point localization. The authors find the probability distribution of symmetry values for a given fuzzy shape. Additionally, for every such fuzzy shape, the authors find the most probable symmetric shape",

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N2 - Symmetry is usually viewed as a discrete feature: an object is either symmetric or non-symmetric. Following the view that symmetry is a continuous feature, a continuous symmetry measure (CSM) has been developed to evaluate symmetries of shapes and objects. In this paper the authors extend the symmetry measure to evaluate the imperfect symmetry of fuzzy shapes, i.e. shapes with uncertain point localization. The authors find the probability distribution of symmetry values for a given fuzzy shape. Additionally, for every such fuzzy shape, the authors find the most probable symmetric shape

AB - Symmetry is usually viewed as a discrete feature: an object is either symmetric or non-symmetric. Following the view that symmetry is a continuous feature, a continuous symmetry measure (CSM) has been developed to evaluate symmetries of shapes and objects. In this paper the authors extend the symmetry measure to evaluate the imperfect symmetry of fuzzy shapes, i.e. shapes with uncertain point localization. The authors find the probability distribution of symmetry values for a given fuzzy shape. Additionally, for every such fuzzy shape, the authors find the most probable symmetric shape

U2 - 10.1109/ICPR.1994.576336

DO - 10.1109/ICPR.1994.576336

M3 - Conference contribution

SN - 0-8186-6265-4

VL - 1

SP - 499

EP - 504

BT - Proceedings of 12th International Conference on Pattern Recognition

ER -

Symmetry of fuzzy data

Abstract

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