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Rat Locomotion Analysis Based on Straight Line Detection in Hough Space

José Trinidad Guillen Bonilla (), Héctor Guillen Bonilla, Nancy Elizabeth Franco Rodríguez, Mario Alberto García Ramírez, Alex Guillen Bonilla, Maricela Jiménez Rodríguez and María Eugenia Sánchez Morales
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José Trinidad Guillen Bonilla: Departamento de Electro-Fotónica, Centro Universitario de Ciencias Exactas e Ingenierías, Blvd. Gral. Marcelino García Barragán 1421, Guadalajara 44430, Jalisco, Mexico
Héctor Guillen Bonilla: Departamento de Ingeniería de Proyectos, Centro Universitario de Ciencias Exactas e Ingenierías, Universidad de Guadalajara, Blvd M. García Barragán 1421, Guadalajara 44430, Jalisco, Mexico
Nancy Elizabeth Franco Rodríguez: Departamento de Farmacobiología, Centro Universitario de Ciencias Exactas e Ingenierías, Universidad de Guadalajara, Blvd M. García Barragán 1421, Guadalajara 44430, Jalisco, Mexico
Mario Alberto García Ramírez: Departamento de Electro-Fotónica, Centro Universitario de Ciencias Exactas e Ingenierías, Blvd. Gral. Marcelino García Barragán 1421, Guadalajara 44430, Jalisco, Mexico
Alex Guillen Bonilla: Departamento de Ciencias Computacionales e Ingeniería, Centro Universitario de los Valles, Universidad de Guadalajara, Carretera Guadalajara-Ameca Km. 45.5, Ameca 46600, Jalisco, Mexico
Maricela Jiménez Rodríguez: Departamento de Ciencias Básicas, Centro Universitario de la Ciénega, Universidad de Guadalajara, Av. Universidad No. 1115, LindaVista, Ocotlán 47810, Jalisco, Mexico
María Eugenia Sánchez Morales: Departamento de Ciencias Tecnológicas, Centro Universitario de la Ciénega, Universidad de Guadalajara, Av. Universidad No. 1115, Lindavista, Ocotlán 47810, Jalisco, Mexico

Mathematics, 2025, vol. 13, issue 13, 1-16

Abstract: This paper demonstrates a method to perform movement analysis on rats named Movement Measurement in Hough Transform Space (MMHTS). The MMHTS method consists of representing locomotion of movement based on a system of linear equations and subsequently detecting the straight lines in the Hough transform space. Four straight lines L 0 , L 1 , L 2 and L 3 are detected, and with their information the angles between the beelines α 0 , α 1 , α 3 , intersection points p 1 x 1 , y 1 , p 2 x 2 , y 2 , p 3 x 3 , y 3 and their lengths d L 0 , d L 1 , d L 3 , d L 4 are measured, corresponding to the locomotion geometry of the rats’ limps. Experimentally, the MMHTS method was employed for locomotion movement and the obtained results were compared with professional design software, detecting the following miscalculations: 0.144° for the angle measurements, 0.131 for the length measurement and 0.139 for the point detection. Based in the measurements results and the calculated errors, the MMHTS method is efficient and exhibits a high application potential in motion analysis.

Keywords: motion analysis; image processing; movement measurement on hough transform space (MMHTS) method; hough transform; straight line detection; high application potential in motion analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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