光电工程
光電工程
광전공정
OPTO-ELECTRONIC ENGINEERING
2010年
4期
72-76,82
,共6页
共形几何代数%Radon变换%圆检测%计算机视觉%数字图像处理
共形幾何代數%Radon變換%圓檢測%計算機視覺%數字圖像處理
공형궤하대수%Radon변환%원검측%계산궤시각%수자도상처리
eonformal geometric algebra%Radon transform%circle detection%computer vision%digital image processing
为解决图像中的目标检测问题,本文给出了一种基于共形几何代数与Radon变换的圆检测识别方法,从新的角度出发,讨论了运用共形几何代数概念来解决圆检测问题的可行性和简便性.该方法主要是通过共形几何代数理论,将欧氏空间中的圆用共形几何代数中的矢量表示,进而可以等效为平面,最后利用三维Radon变换,对空间中的平面进行检测,可以有效地检测识别图像中的圆形目标.实验结果表明该算法简洁明确,可以对图像中的多圆进行同时检测识别,对于算法的集成,提高效率有着很重要的意义.
為解決圖像中的目標檢測問題,本文給齣瞭一種基于共形幾何代數與Radon變換的圓檢測識彆方法,從新的角度齣髮,討論瞭運用共形幾何代數概唸來解決圓檢測問題的可行性和簡便性.該方法主要是通過共形幾何代數理論,將歐氏空間中的圓用共形幾何代數中的矢量錶示,進而可以等效為平麵,最後利用三維Radon變換,對空間中的平麵進行檢測,可以有效地檢測識彆圖像中的圓形目標.實驗結果錶明該算法簡潔明確,可以對圖像中的多圓進行同時檢測識彆,對于算法的集成,提高效率有著很重要的意義.
위해결도상중적목표검측문제,본문급출료일충기우공형궤하대수여Radon변환적원검측식별방법,종신적각도출발,토론료운용공형궤하대수개념래해결원검측문제적가행성화간편성.해방법주요시통과공형궤하대수이론,장구씨공간중적원용공형궤하대수중적시량표시,진이가이등효위평면,최후이용삼유Radon변환,대공간중적평면진행검측,가이유효지검측식별도상중적원형목표.실험결과표명해산법간길명학,가이대도상중적다원진행동시검측식별,대우산법적집성,제고효솔유착흔중요적의의.
To meet the need of object detection problem in images, a circle detection algorithm based on conformal geometric algebra and Radon transform is proposed. From a new point of view, the probability and simplicity for using the concept of conformal geometric algebra to solve circle detection problem is discussed in detail. Circles in Euclidean space can be represented as vectors by the conformal geometric algebra theory, a circle may be implemented as a plane in eonforrnal space, and the plane in conformal space can be detected by 3D radon transform. This algorithm can detect circles in images effectively. The experimental results show that the proposed algorithm is compact and explicit, multi-circles in images can be detected by using this algorithm, and the integration of algorithm has an important significance in the improvement of efficiency.
