A Study on Generalized Hough Transform for Detecting Fuzzy Lines

Abstract

In this paper, we propose a technique, namely, fuzzy Hough transform, to detect fuzzy lines. We extend the classical Hough transform technique using Zadeh’s extension principle. Our proposed technique demonstrates and analyzes the α-cuts of the fuzzy lines present in the images. In addition, we describe a generalized version of the fuzzy Hough transform. Specifically, we present an analysis of the fuzzy Hough transform to recognize vague/imprecise lines from the images. The fuzzy Hough transform technique identifies fuzzy lines by a voting procedure. Sequentially, a concept of similarity measure between two fuzzy lines using the fuzzy Hough transform is delineated. Moreover, we implement the proposed technique in real images to detect fuzzy lines and similarity measures between two fuzzy lines. © The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2024.