@misc{10481/88926, year = {2018}, url = {https://hdl.handle.net/10481/88926}, abstract = {Shape analysis, and particulary the contour study, is a fundamental task for object recognition in images. In this paper, a fuzzy approach for representing the linearity property of a contour segment is proposed. Linearity is a key property related to which degree a contour segment is a curve or a straight line; in addition, it is the basis for modelling other properties like curvature, salience or concavity/convexity. In this framework, firstly, the idea of linearity vs non-linearity, and the meaning of its fulfilment, will be analyzed. Secondly, the definition of a membership function according to that meaning will be proposed on the basis of the coefficient of determination. Finally, we will show the goodness of our proposal by analyzing linearity in a set of shapes with different characteristics.}, organization = {This work has been partially supported by the Spanish Ministry of Economy and Competitiveness and the European Regional Development Fund - ERDF (Fondo Europeo de Desarrollo Regional - FEDER) under project TIN2014-58227-P Descripción lingüística de información visual mediante técnicas de minería de datos y computación flexible.}, keywords = {Image Analysis}, keywords = {Fuzzy Modelling}, keywords = {Local Linearity}, keywords = {Contours}, title = {Fuzzy Modelling of Local Linearity in Contours}, doi = {10.1109/FUZZ-IEEE.2018.8491659}, author = {Chamorro-Martínez, Jesús and Martínez-Jiménez, Pedro Manuel and Garrido, Antonio and Soto-Hidalgo, José Manuel}, }