2020 ◽  
Vol 9 (2) ◽  
Author(s):  
Joshua Park ◽  
Young-Woo Lee

Circle detection is one of the most critical aspects of computer vision and has been widely studied and developed in a variety of ways. The Center-based Iterative Hough Transform (CBIHT) is a method for unassisted multiple circle detection, based upon iterative uses of a center-based voting process to determine the circle’s center coordinate. This paper gives a thorough analysis of the CBIHT as well as a comparison with the Standard Hough Transform (SHT) and its well-known variants including the Generalized Hough Transform (GHT) and the Adaptive Hough Transform (AHT). When applied to synthetic and real-life circular images, our accuracy and performance comparison studies show that (i) the CBIHT is more computationally efficient than the SHT’s brute-force algorithm; (ii) the CBIHT’s center-based voting method has greater resilience to noise than the GHT and AHT’s gradient information method; and (iii) the CBIHT’s iterative process provides an adaptability and speed in unassisted multiple circle detection similar to that of the AHT; (iv) yet, the CBIHT requires no parameters for circle detection unlike the GHT and the AHT. All in all, a comparison with other methods highlights the aforementioned merit of the CBIHT, proving the CBIHT to be an excellent choice in detecting the circles with noise in real-life images. 


Author(s):  
ZHI-YONG LIU ◽  
HONG QIAO ◽  
LEI XU

By minimizing the mean square reconstruction error, multisets mixture learning (MML) provides a general approach for object detection in image. To calculate each sample reconstruction error, as the object template is represented by a set of contour points, the MML needs to inefficiently enumerate the distances between the sample and all the contour points. In this paper, we develop the line segment approximation (LSA) algorithm to calculate the reconstruction error, which is shown theoretically and experimentally to be more efficient than the enumeration method. It is also experimentally illustrated that the MML based algorithm has a better noise resistance ability than the generalized Hough transform (GHT) based counterpart.


Author(s):  
Sergio Rubén Geninatti ◽  
José Ignacio Benavides Benítez ◽  
Manuel Hernández Calviño ◽  
Nicolás Guil Mata ◽  
Juan Gómez Luna

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