Characterizing the hierarchical Hough transform through a polygonal approximation algorithm

1995 ◽  
Vol 16 (4) ◽  
pp. 389-397 ◽  
Author(s):  
Souheil Ben Yacoub ◽  
Jean-Michel Jolion
2009 ◽  
Vol 34 (12) ◽  
pp. 1467-1474
Author(s):  
Zhe LV ◽  
Fu-Li WANG ◽  
Yu-Qing CHANG ◽  
Yang LIU

Author(s):  
YUNG-NIEN SUN ◽  
SHU-CHIEN HUANG

A new polygonal approximation algorithm, employing the concept of genetic evolution, is presented. In the proposed method, a chromosome is used to represent a polygon by a binary string. Each bit, called a gene, represents a point on the given curve. Three genetic operators, including selection, crossover, and mutation, are designed to obtain the approximated polygon whose error is bounded by a given norm. Many experiments show that the convergence is guaranteed and the optimal or near-optimal solutions can be obtained. Compared with the Zhu–Seneviratne algorithm,24 the proposed algorithm successfully reduced the number of segments under the same error condition in the polygonal approximation.


2019 ◽  
Vol 9 (4) ◽  
pp. 638 ◽  
Author(s):  
Jin-Woo Jung ◽  
Byung-Chul So ◽  
Jin-Gu Kang ◽  
Dong-Woo Lim ◽  
Yunsik Son

The Expanded Douglas–Peucker (EDP) polygonal approximation algorithm and its application method for the Opposite Angle-Based Exact Cell Decomposition (OAECD) are proposed for the mobile robot path-planning problem with curvilinear obstacles. The performance of the proposed algorithm is compared with the existing Douglas–Peucker (DP) polygonal approximation and vertical cell decomposition algorithm. The experimental results show that the path generated by the OAECD algorithm with EDP approximation appears much more natural and efficient than the path generated by the vertical cell decomposition algorithm with DP approximation.


2019 ◽  
Vol 24 (3) ◽  
pp. 291-300
Author(s):  
Evgeny I. Minakov ◽  
◽  
Aleksandr V. Meshkov ◽  
Elena O. Meshkova ◽  
◽  
...  

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