On a Fast Hough/Radon Transform as a Compact Summation Scheme over Digital Straight Line Segments

被引：2

作者：

Nikolaev, Dmitry ^{[1
,2
]}

Ershov, Egor ^{[1
]}

Kroshnin, Alexey ^{[1
,3
]}

Limonova, Elena ^{[2
,4
]}

Mukovozov, Arseniy ^{[2
]}

Faradzhev, Igor ^{[2
]}

机构：

[1] RAS, Inst Informat Transmiss Problems, Moscow 127051, Russia

[2] Smart Engines Serv LLC, Moscow 117312, Russia

[3] Higher Sch Econ, Int Lab Stochast Algorithms & High Dimens Inferenc, Moscow 109028, Russia

[4] RAS, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

来源：

MATHEMATICS | 2023年 / 11卷 / 15期

关键词：

fast Hough transform; fast discrete Radon transform; digital straight lines; FAST HOUGH TRANSFORM; COMPUTED-TOMOGRAPHY; RADON-TRANSFORM; LANE DETECTION; ALGORITHM; RECONSTRUCTION; NETWORK;

D O I：

10.3390/math11153336

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Hough transform, interpreted as the discretization of the Radon transform, is a widely used tool in image processing and machine vision. The primary way to speed it up is to employ the Brady-Yong algorithm. However, the accuracy of the straight line discretization utilized in this algorithm is limited. In this study, we propose a novel algorithm called ASD2 that offers fast computation of the Hough transform for images of arbitrary sizes. Our approach adopts a computation scheme similar to the Brady-Yong algorithm but incorporates the best possible line discretization for improved accuracy. By employing the Method of Four Russians, we demonstrate that for an image of size nxn where n=8(q) and q?N, the computational complexity of the ASD2 algorithm is O(n(8/3)) when summing over O(n(2)) digital straight line segments.

引用

页数：22

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