A New Measure of Circularity Based on Distribution of the Radius

Authors

  • Ana M. Herrera-Navarro Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro.
  • Hugo Jiménez Hernández Centro de Ingeniería y Desarrollo Industrial, Querétaro.
  • Hayde Peregrina-Barreto Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro.
  • Federico Manríquez- Guerrero Centro de Investigación y Desarrollo Tecnológico en Electroquímica, Querétaro.
  • Iván R. Terol-Villalobos Centro de Investigación y Desarrollo Tecnológico en Electroquímica, Querétaro.

DOI:

https://doi.org/10.13053/cys-17-4-1338

Keywords:

Measure, shape, circularity, probability density function, center, radius, medium, mode.

Abstract

The measures most commonly used in current literature to compute the roundness of digital objects are derivations of the form factor based on area and perimeter computations. However, these measures are highly dependent on image resolution and sensitive to shape variations. In this article, a new measure is proposed. This measure takes into consideration the dominant geometry of objects, avoiding the use of such parameters as area, perimeter and Ferret's diameter. The proposed measure is easy to compute, and since it is a distribution of probability based on the radius, it is invariant to abrupt changes in contours or to shape resolution. In order to show the performance of this measure, it is compared with three other recently proposed measures: factor shape, which is recommended by the American Standard Test Measurement, mean roundness and radius ratio.

Author Biographies

Ana M. Herrera-Navarro, Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro.

Received the B.S. degree in Computer Engineering and her M.S. degree in Computer Science from Informatics Faculty of the Queretaro Autonomous University, Mexico. She is currently a Ph.D. student at the Queretaro Autonomous University. Her research interests include morphological image processing and computer vision.

Hugo Jiménez Hernández, Centro de Ingeniería y Desarrollo Industrial, Querétaro.

Received the B.S degree in Computer Science Engineering at the Queretaro Regional Technological Institute; his M.S. in Computer Science at the Center for Computing Research of National Polytechnic Institute (IPN), Mexico. He received his Ph.D. degree from CICATA Queretaro-IPN. His research includes automatic activities detection, associative memories and time series analysis.

Hayde Peregrina-Barreto, Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro.

Received her B.S. in Computer Engineering from Cuautla Institute of Technology, Mexico, and her M.S. in Electrical Engineering from the Guanajuato University, Mexico. She received her Ph.D. degree from UAQ. Her research interests include morphological image and computer vision.

Federico Manríquez- Guerrero, Centro de Investigación y Desarrollo Tecnológico en Electroquímica, Querétaro.

Received his B.S in Metallurgical Engineering and Chemistry from the Autonomous University of Mexico (UNAM); his M.S. in Metallurgy from UNAM. He is a researcher at CIDETEQ, Mexico. His current research interests include morphological image processing and materials characterization.

Iván R. Terol-Villalobos, Centro de Investigación y Desarrollo Tecnológico en Electroquímica, Querétaro.

Received his B.S. from National Polytechnic Institute (IPN), Mexico; his M.S. in Electrical Engineering from the Center for Research and Advanced Studies of IPN, Mexico, and a DEA in Computer Science from the University of Paris VI, France. He is currently a researcher at CIDETEQ, Mexico. His current research interests include morphological image processing, morphological probabilistic models and computer vision.

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Published

2013-12-30

Issue

Vol. 17 No. 4 (2013): 17(4) October-December 2013

Section

Articles

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