一种新的不基于Hough变换的随机椭圆检测算法

椭圆检测在模式识别领域中占据着非常重要的位置。常见的基于Hough变换的椭圆检测算法(如RHT算法)存在着占用大量存储空间及计算耗时等缺点。本文提出一种高效随机的椭圆检测算法(RED)。该算法不基于Hough变换,其原理是:首先从一幅图像中随机地挑选出6个点,并定义一个约束距离以确定在此图像中是否存在一个可能的椭圆;当可能椭圆确定之后,引入椭圆点收集过程以进一步确定可能椭圆是否是待检测的真实椭圆。通过对具有不同噪声的合成图像以及真实图像进行测试,结果表明RED算法在低噪声与适度噪声的情况下,速度明显快于RHT算法。     

局部PCA参数约束的Hough多椭圆分层检测算法

针对随机Hough变换(RHT)在复杂图像中检测圆及椭圆时随机采样所造成的大量无效采样、无效累积以及运算时间长等问题,提出基于局部PCA感兴趣参数约束Hough多椭圆分层检测思路。首先利用边缘检测算子获得边缘信息并去除边缘交叉点,在边缘图像中标记并提取出满足一定长度的连续曲线段;其次利用线段PCA方向分析确定是否属于有效曲线段;然后,对所有感兴趣曲线段按照标记顺序依次利用椭圆拟合办法初步得到感兴趣椭圆粗略参数,根据拟合结果进而模糊约束Hough变换参数搜索范围,得到精确椭圆参数;最后利用检测结果更新图像空间,删除已经检测到的椭圆,依次进行,直到所有椭圆检测完毕。实验结果表明,该算法在计算、存储消耗上均大大减少。     

A multi-population genetic algorithm for robust and fast ellipse detection

This paper discusses a novel and effective technique for extracting multiple ellipses from an image, using a genetic algorithm with multiple populations (MPGA). MPGA evolves a number of subpopulations in parallel, each of which is clustered around an actual or perceived ellipse in the target image. The technique uses both evolution and clustering to direct the search for ellipses—full or partial. MPGA is explained in detail, and compared with both the widely used randomized Hough transform (RHT) and the sharing genetic algorithm (SGA). In thorough and fair experimental tests, using both synthetic and real-world images, MPGA exhibits solid advantages over RHT and SGA in terms of accuracy of recognition—even in the presence of noise or/and multiple imperfect ellipses in an image—and speed of computation.     

Computerized mouse pupil size measurement for pupillary light reflex analysis

Accurate measurement of pupil size is essential for pupillary light reflex (PLR) analysis in clinical diagnosis and vision research. Low pupil–iris contrast, corneal reflection, artifacts and noises in infrared eye imaging pose challenges for automated pupil detection and measurement. This paper describes a computerized method for pupil detection or identification. After segmentation by a region-growing algorithm, pupils are detected by an iterative randomized Hough transform (IRHT) with an elliptical model. The IRHT iteratively suppresses the effects of extraneous structures and noise, yielding reliable measurements. Experimental results with 72 images showed a mean absolute difference of 3.84% between computerized and manual measurements. The inter-run variation for the computerized method (1.24%) was much smaller than the inter-observer variation for the manual method (7.45%), suggesting a higher level of consistency of the former. The computerized method could facilitate PLR analysis and other non-invasive functional tests that require pupil size measurements.     

Randomized Hough Transform (RHT): Basic Mechanisms,Algorithms, and Computational Complexities

Recently, a new curve detection approach called the randomized Hough transform (RHT) was heuristically proposed by the authors, inspired by the efforts of using neural computation learning techniques for curve detection. The preliminary experimental results and some qualitative analysis showed that in comparison with the Hough transform (HT) and its variants, the RHT has advantages of fast speed, small storage, infinite range of the parameter space, and high parameter resolution, and it can overcome several difficulties encountered with the HT methods. In this paper, the basic ideas of RHT are further developed into a more systematic and theoretically supported new method for curve detection. The fundamental framework and the main components of this method are elaborated. The advantages of RHT are further confirmed. The basic mechanisms behind these advantages are exposed by both theoretical analysis and detailed experimental demonstrations. The main differences between RHT and some related techniques are elucidated. This paper also proposes several improved algorithms for implementing RHT for curve detection problems in noisy images. They are tested by experiments on images with various kinds of strong noise. The results show that the advantages of RHT are quite robust. Moreover, the implementations of these algorithms are modeled by a generalized Bernoulli process, allowing probability analysis on these algorithms to estimate their computational complexities and to decide some important parameters for their implementations. It is shown quantitatively that the complexities are considerably smaller than those of the HT.     

Randomized or probabilistic Hough transform: unified performance evaluation

Rapid computation of the Hough transform is necessary in very many computer vision applications. One of the major approaches for fast Hough transform computation is based on the use of a small random sample of the data set rather than the full set. Two different algorithms within this family are the randomized Hough transform (RHT) and the probabilistic Hough transform (PHT). There have been contradictory views on the relative merits and drawbacks of the RHT and the PHT. In this paper, a unified theoretical framework for analyzing the RHT and the PHT is established. The performance of the two algorithms is characterized both theoretically and experimentally. Clear guidelines for selecting the algorithm that is most suitable for a given application are provided. We show that, when considering the basic algorithms, the RHT is better suited for the analysis of high quality low noise edge images, while for the analysis of noisy low quality images the PHT should be selected.     

Randomized circle detection with isophotes curvature analysis

Circle detection is a critical issue in image analysis and object detection. Although Hough transform based solvers are largely used, randomized approaches, based on the iterative sampling of the edge pixels, are object of research in order to provide solutions less computationally expensive. This work presents a randomized iterative work-flow, which exploits geometrical properties of isophotes in the image to select the most meaningful edge pixels and to classify them in subsets of equal isophote curvature. The analysis of candidate circles is then performed with a kernel density estimation based voting strategy, followed by a refinement algorithm based on linear error compensation. The method has been applied to a set of real images on which it has also been compared with two leading state of the art approaches and Hough transform based solutions. The achieved results show how, discarding up to 57% of unnecessary edge pixels, it is able to accurately detect circles within a limited number of iterations, maintaining a sub-pixel accuracy even in the presence of high level of noise.     

基于中心提取的RHT在椭圆检测中的应用

充分利用椭圆的几何性质,借助椭圆的形状控制点约束和弦端点法向约束,大幅降低随机Hough变换(RHT)的无效采样和累积次数,并采用基于视觉感知聚类的模糊置信度对由同一个形变椭圆引入的多个虚假候选椭圆进行有效去除.实验结果表明:该算法与基于RHT的其他椭圆检测方法相比,具有检测速度快、精度高、抵抗椭圆的部分缺失和形变能力强等优点.     

基于梯度的随机Hough快速圆检测方法

针对随机Hough变换(RHT)在复杂图像中检测圆时产生随机采样的大量无效累积,提出了一种改进的RHT用于圆检测,方法利用梯度方向信息来判定是否对采样到的三点进行参数累积,从而较好地解决了无效累积问题。实验表明改进后的算法比原算法计算速度快,占用的内存小,检测性能有较大提高。     

一种新的随机Hough快速圆检测算法

随机Hough变换（RHT）在复杂图像中检测圆时随机采样会造成大量无效累积，该文提出了一种改进的RHT用于圆检测，它是利用梯度方向信息来决定是否对采样到的两点进行参数累积，从而较好地解决了无效累积问题，改进后的算法比原算法计算道度快，占用的内存小得多，检测性能有较大提高。     

Old and new straight-line detectors: Description and comparison

Straight-line detection is important in several fields such as robotics, remote sensing, and imagery. The objective of this paper is to present several methods, old and new, used for straight-line detection. We begin by reviewing the standard Hough transform (SHT), then three new methods are suggested: the revisited Hough transform (RHT), the parallel-axis transform (PAT), and the circle transform (CT). These transforms utilize a point-line duality to detect straight lines in an image. The RHT and the PAT should be faster than the SHT and the CT because they use line segments whereas the SHT uses sinusoids and CT uses circles. Moreover, the PAT, RHT, and CT use additions and multiplications whereas the SHT uses trigonometric functions (sine and cosine) for calculation. To compare the methods we analyze the distribution of the frequencies in the accumulators and observe the effect on the detection of false local maxima. We also compare the robustness to noise of the four transforms. Finally, an example with a real image is given.     

一种基于随机Hough变换圆检测的改进算法

介绍了一种基于随机Hough变换(RHT)的圆检测的改进算法。该算法利用梯度方向信息来确定采样的三点是否进行累积,然后再利用确定候选圆范围的方法来缩小所要搜索的像素点的范围。此方法较好地解决了传统RHT中由于随机采样而造成的大量无效累积问题,并且改进后的算法使运行速度得到进一步的提高,检测性能也有较大的改善。该算法分别在加噪和不加噪的人工图像上做了实验,检测性能和处理速度方面都比传统的RHT有明显的改善和提高。     

一种新的基于Hough变换的椭圆轮廓检测方法

Hough变换是一种检测曲线的有效方法,但使用传统的Hough变换来检测椭圆计算量过大。为此提出了一种新的基于Hough变换的椭圆轮廓检测方法,该方法利用椭圆中心是平面上所有点中距离椭圆轮廓上点最大距离最小的点这一几何性质,降低了Hough参数空间的维度,从而有效地降低了计算量。使用该方法可以快速地判断一个输入图形的轮廓是否为椭圆。     

用两步Hough变换检测圆

Hough变换在图像处理中占有重要地位,是一种检测曲线的有效方法。但使用传统的Hough变换来检测圆,具有存储空间大计算时间长的缺点。为此提出了采用两步Hough变换的圆检测方法,利用圆的斜率特性,降低了Hough参数空间的维度,提高了运算效率,并推广到椭圆的检测之中。     

基于最小二乘修正的随机Hough变换直线检测

利用Hough变换进行直线检测时,由于直线在参数空间中的映射容易受到邻近目标、噪声以及本身非理想状态的干扰,算法中的投票过程较易出现无效累积,进而导致虚检、漏检及端点定位不准等问题.针对传统方法的上述缺陷,提出了一种基于 ρ-θ 域最小二乘拟合修正的随机Hough变换的直线检测方法.首先, 在随机抽样时利用像素-长度比值对抽样的有效性进行判定,剔除不在直线上的抽样点对;然后, 对邻域相关点进行 ρ-θ 域的最小二乘拟合,得到修正后的直线参数用于累加投票,投票过程中设定累加阈值,通过检测峰值点逐次检出疑似长直线;最后, 通过设定断裂阈值对每条长直线进行筛选和分段,定位出直线段的端点.仿真实验表明,所提方法在投票时有效抑制了复杂环境对局部最大值的干扰,使直线检测的准确率得到显著提升.     

基于频谱预处理与改进霍夫变换的离焦模糊盲复原算法

为了提高离焦模糊图像复原清晰度,提出一种基于频谱预处理与改进霍夫变换的 离焦模糊盲复原算法。首先改进模糊图像频谱预处理策略,降低了噪声对零点暗圆检测的影响。 然后改进霍夫变换圆检测算法,在降低算法复杂度的同时,增强了模糊半径估计的准确性。最 后利用混合特性正则化复原图像模型对模糊图像进行迭代复原,使复原图像的边缘细节更加清 晰。实验结果表明,提出的模糊半径估计方法较其他方法平均误差更小,改进的频谱预处理策 略更有利于零点暗圆检测,改进的霍夫变换圆检测算法模糊半径估计精度更高,所提算法对已 知相机失焦的小型无人机拍摄的离焦模糊图像具有更好的复原效果。针对离焦模糊图像复原, 通过理论分析和实验验证了改进的模糊半径估计方法的鲁棒性强,所提算法的复原效果较好。     

一种新的SAR图像内波检测与参数估计方法

提出了一种SAR图像海洋内波检测与参数估计的新方法。通过对传统的Radon变换进行改进,将图像在椭圆区域内进行积分归一化,达到海洋背景下弱直线检测的目的。利用滑动窗口的思想结合椭圆域归一化Radon变换检测内波区域,通过对变换域的数据进行分析处理与计算,得到内波传播方向和内波波长参数。通过对实测SAR图像数据进行处理的结果可知,采用该方法对内波SAR图像进行处理不需要人工干预,能很好地定位内波位置,获得的内波参数与观测结果相符。     

基于图形处理器的实时直线段检测

提出了一种基于图形处理硬件的递进式直线段检测方法,该方法利用图形处理硬件实现了边缘提取、霍夫变换、端点检测等步骤。其中的GPU并行霍夫变换采用θ参数空间及图像空间双重划分的方法,并使用线程块内的共享存储器较好地解决了同一θ空间的各线程同步问题。实验表明,该方法既有递进式检测方法的准确性,又充分利用图形处理器强大的计算能力获得了较高的实时性。     

New shape-based auroral oval segmentation driven by LLS-RHT

A new method that exploits shape to localize the auroral oval in satellite imagery is introduced. The core of the method is driven by the linear least-squares (LLS) randomized Hough transform (RHT). The LLS-RHT is a new fast variant of the RHT suitable when not all necessary conditions of the RHT can be satisfied. The method is also compared with the three existing methods for aurora localization, namely the histogram-based k-means [C.C. Hung, G. Germany, K-means and iterative selection algorithms in image segmentation, IEEE Southeastcon 2003 (Session 1: Software Development)], adaptive thresholding [X. Li, R. Ramachandran, M. He, S. Movva, J.A. Rushing, S.J. Graves, W. Lyatsky, A. Tan, G.A. Germany, Comparing different thresholding algorithms for segmenting auroras, in: Proceedings of the International Conference on Information Technology: Coding and Computing, vol. 6, 2004, pp. 594-601], and pulse-coupled neural network-based [G.A. Germany, G.K. Parks, H. Ranganath, R. Elsen, P.G. Richards, W. Swift, J.F. Spann, M. Brittnacher, Analysis of auroral morphology: substorm precursor and onset on January 10, 1997, Geophys. Res. Lett. 25 (15) (1998) 3042-3046] methods. The methodologies and their performance on real image data are both considered in the comparison. These images include complications such as random noise, low contrast, and moderate levels of key obscuring phenomena.     

The wedge filter technique for convex boundary estimation

This paper describes a method for segmentation of convex shaped image regions. The wedge filter technique first employs the converging squares algorithm [1] to locate a region of interest. Then a region oriented boundary estimation technique, called the wedge filter, is applied. This wedge filter entails angular filtering and subsampling, and boundary interpolation. The technique is more capable of segmenting noncircular shapes than some earlier methods based on the Hough transform. In addition, unlike many edge-based segmentation schemes, this method is relatively tolerant to edge gaps and to blurred or thick edges. This technique is tested on a number of synthesized images over a range of convex shapes, for different algorithm parameters, and under various conditions of region size and image noise. In addition, the technique has been applied to segmentation of liver cell nuclei in light microscope images of human liver tissue.