A projection based method for shape measurement

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.
Complete list of metadatas

Cited literature [60 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02368681
Contributor : Thanh Phuong Nguyen <>
Submitted on : Monday, November 18, 2019 - 4:08:50 PM
Last modification on : Saturday, November 23, 2019 - 1:40:20 AM

File

Circularity_JMIV.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02368681, version 1

Citation

Thanh Phuong Nguyen, Xuan Son Nguyen, Mohamed Anouar Borgi, M K Nguyen. A projection based method for shape measurement. Journal of Mathematical Imaging and Vision, Springer Verlag, In press. ⟨hal-02368681⟩

Share

Metrics

Record views

20

Files downloads

19