A projection based method for shape measurement
Thanh Phuong Nguyen1,2 and Xuan Son Nguyen3 and Mohamed Anouar Borgi 4 and M. K. Nguyen 5
1Aix Marseille University, CNRS, ENSAM, LIS, UMR 7020, 13397 Marseille, France
2University of Toulon, CNRS, LIS, UMR 7020, 83957 La Garde, France
3University of Caen Basse-Normandie, CNRS, GREYC, UMR 6072, France
4Research Groups on Intelligent Machines, University of Sfax, BP 1173, Sfax 3038, Tunisia
5ETIS, ENSEA/Universit\'e de Cergy-Pontoise/CNRS UMR 8051, 95302 Cergy-Pontoise, France
Abstract
This work addresses two main contributions for shape measurement. First, a new circularity measure for planar shapes is introduced based on their geometrical properties in the projection space of Radon transform. Second, a general-purpose evaluation criterion, Power Of Discrimination (POD), for assessing the efficiency of a shape measure is proposed. The new measure ranges over the interval [0,1], and produces the value 1 if and only if the measured shape is a perfect circle. The proposed measure is invariant with respect to translation, rotation and scaling transformations. Moreover, it is also robust against border distortion of shapes. It is theoretically well founded and can be extended to other problems of shape measurement. Our approach can deal with complex shapes composed of connected components that cannot be handled by classical contour-based methods. Several experiments show its good behavior and demonstrate the efficiency and applicability of our proposed measure. Finally, we also consider our proposed evaluation criterion for assessing different circularity measures.
Datasets
The proposed datasets, presented in this work, are avaiable from floral dataset. If you use these datasets in your work, please cite the paper [1]
References
[1] Thanh Phuong Nguyen and Xuan Son Nguyen and Mohamed Anouar Borgi and M. K. Nguyen , A projection based method for shape measurement, Journal Mathematical Imaging and Vision, 2019 (submitted)