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Optimal parallel algorithms for quadtree problems 四叉树问题的最优并行算法
Pub Date : 1994-05-01 DOI: 10.1006/CIUN.1994.1019
S. Kasif
Abstract In this paper we describe optimal processor-time parallel algorithms for set operations such as union, intersection, comparison on quadtrees. The algorithms presented in this paper run in O (log N ) time using N /log N processors on a shared memory model of computation that allows concurrent reads or writes. Consequently they allow us to achieve optimal speedups using any number of processors up to N /log N . The approach can also be used to derive optimal processor-time parallel algorithms for weaker models of parallel computation.
摘要本文描述了四叉树上的集运算(如并、交、比较)的最优处理器时间并行算法。本文提出的算法在允许并发读写的共享内存计算模型上使用N /log N个处理器,运行时间为O (log N)。因此,它们允许我们使用任意数量的处理器达到N /log N的最佳加速。该方法还可用于推导较弱的并行计算模型的最优处理器时间并行算法。
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引用次数: 8
Author Index for Volume 59 第59卷作者索引
Pub Date : 1994-05-01 DOI: 10.1006/ciun.1994.1027
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引用次数: 0
Image Analysis and Computer Vision: 1993 图像分析与计算机视觉:1993
Pub Date : 1994-05-01 DOI: 10.1006/ciun.1994.1026
Rosenfeld A.

This paper presents a bibliography of nearly 1300 references related to computer vision and image analysis, arranged by subject matter. The topics covered include computational techniques; feature detection and segmentation; image analysis; two-dimensional shape; pattern; color and texture; matching and stereo; three-dimensional recovery and analysis; three-dimensional shape; and motion. A few references are also given on related topics, such as geometry, graphics, coding and processing, sensors and optical processing, visual perception, neural nets, pattern recognition, and artificial intelligence, as well as on applications.

本文提供了近1300篇与计算机视觉和图像分析相关的参考文献的参考书目,按主题排列。涵盖的主题包括计算技术;特征检测与分割;图像分析;二维形状;模式;颜色和质地;匹配与立体;三维恢复与分析;三维形状;和运动。一些参考文献也给出了相关的主题,如几何,图形,编码和处理,传感器和光学处理,视觉感知,神经网络,模式识别和人工智能,以及应用。
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引用次数: 10
Statistical analysis of geometric computation 几何计算的统计分析
Pub Date : 1994-05-01 DOI: 10.1006/CIUN.1994.1020
K. Kanatani
Abstract This paper studies the statistical behavior of errors involved in fundamental geometric computations. We first present a statistical model of noise in terms of the covariance matrix of the N-vector. Using this model, we compute the covariance matrices of N-vectors of lines and their intersections. Then, we determine the optimal weights for the least-squares optimization and compute the covariance matrix of the resulting optimal estimate. The result is then applied to line fitting to edges and computation of vanishing points and focuses of expansion. We also point out that statistical biases exist in such computations and present a scheme called renormalization , which iteratively removes the bias by automatically adjusting to noise without knowing noise characteristics. Random number simulations are conducted to confirm our analysis.
摘要本文研究了基本几何计算中误差的统计行为。我们首先根据n向量的协方差矩阵提出了噪声的统计模型。利用该模型,我们计算了n个直线向量及其交点的协方差矩阵。然后,我们确定最小二乘优化的最优权重,并计算得到的最优估计的协方差矩阵。然后将结果应用于边缘的线拟合以及消失点和扩展焦点的计算。我们还指出在这种计算中存在统计偏差,并提出了一种称为重整化的方案,该方案在不知道噪声特征的情况下通过自动调整噪声来迭代地消除偏差。随机数值模拟验证了我们的分析。
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引用次数: 31
Optimal Parallel Algorithms for Quadtree Problems 四叉树问题的最优并行算法
Pub Date : 1994-05-01 DOI: 10.1006/ciun.1994.1019
Kasif S.

In this paper we describe optimal processor-time parallel algorithms for set operations such as union, intersection, comparison on quadtrees. The algorithms presented in this paper run in O(log N) time using N/log N processors on a shared memory model of computation that allows concurrent reads or writes. Consequently they allow us to achieve optimal speedups using any number of processors up to N/log N. The approach can also be used to derive optimal processor-time parallel algorithms for weaker models of parallel computation.

本文描述了四叉树上的集运算,如并、交、比较的最优处理器时间并行算法。本文提出的算法在允许并发读写的共享内存计算模型上使用N/log N个处理器,运行时间为O(log N)。因此,它们允许我们使用最多N/log N的任意数量的处理器来实现最佳加速。该方法也可用于为较弱的并行计算模型推导最佳处理器时间并行算法。
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引用次数: 8
S + -trees: an efficient structure for the representation of large pictures S +树:表示大图片的有效结构
Pub Date : 1994-05-01 DOI: 10.1006/CIUN.1994.1018
W. D. Jonge, P. Scheuermann, A. Schijf
Abstract We are concerned in this paper with the efficient encoding and manipulation of pixel trees that are resident on secondary devices. We introduce a new structure, the S+-tree, that consists of a paged linear treecode representation of the picture (data) and an index whose entries represent separators among some of the leafcodes implicitly embedded in the linear representation. Our scheme combines the advantages of treecode and leafcode representations by offering the space efficiency of DR-expressions and the indexing capabilities of B+-trees, thus permitting easy sequential and random access to a compact representation of pictorial data. We describe an algorithm which encodes our structure from an ordered list of black leafcodes. The paged structure of the S+-tree, whereby each data page is a self-contained tree, enables to design an efficient random access search algorithm to find the color of a given region that corresponds to a quadrant or semi-quadrant. The search algorithm is non-recursive in nature and it can be optimized to work bytewise instead of bitwise. We also present an efficient method for performing translation operations on large pictures stored on secondary devices and illustrate its efficiency with the S+-treestructure.
摘要:本文研究了驻留在二级设备上的像素树的有效编码和操作。我们引入了一种新的结构,S+树,它由图片(数据)的分页线性树码表示和索引组成,索引的条目表示嵌入在线性表示中的一些叶码之间的分隔符。我们的方案通过提供dr表达式的空间效率和B+树的索引功能,结合了树码和叶码表示的优点,从而允许对图像数据的紧凑表示进行简单的顺序和随机访问。我们描述了一种算法,它从一个有序的黑叶码列表中编码我们的结构。S+-树的分页结构(其中每个数据页都是一个自包含的树)允许设计一种高效的随机访问搜索算法来查找对应于象限或半象限的给定区域的颜色。搜索算法本质上是非递归的,它可以被优化为按字节而不是按位工作。我们还提出了一种对存储在二级设备上的大图片进行翻译操作的有效方法,并用S+树结构说明了其效率。
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引用次数: 35
Robust Specularity Detection from a Single Multi-illuminant Color Image 多光源彩色图像的鲁棒反射性检测
Pub Date : 1994-05-01 DOI: 10.1006/ciun.1994.1022
Drew M.S.

How can one identify specularities when an object is illuminated by light that varies in spectrum with direction from the surface? A linear model of color shading can answer this question and also recover surface orientation in non-specular regions using only a single color image of the surface taken under a set of illuminants whose positions, strengths, and spectral content need not be known a priori. The shape-from-color method is based on a Lambertian model. For such a reflectance model the surface normal is related in a linear way to the measured RGB color. Linearity means that the Gaussian sphere is transformed into an ellipsoid in color space, and one can solve for the ellipsoid using least squares; surface normals are recovered only up to an overall orthogonal transformation unless additional constraints are employed. When specularities are present, the least-squares method no longer works. If, however, one views specularities as outliers to the underlying color ellipsoid, then a robust method can still find that surface in RGB space. Here a least-median-of-squares method is used to recover shape and detect specularities at the same time.

当一个物体被来自表面的随方向变化的光谱光照射时,人们如何识别镜面?颜色阴影的线性模型可以回答这个问题,也可以恢复非镜面区域的表面方向,只使用在一组光源下拍摄的单一颜色图像,这些光源的位置,强度和光谱含量无需先验。形状-颜色方法是基于朗伯模型的。对于这种反射率模型,表面法线以线性方式与测量的RGB颜色相关。线性意味着高斯球在色彩空间中被变换成一个椭球,可以用最小二乘法求解椭球;除非采用额外的约束,否则表面法线只能恢复到整体正交变换。当存在镜面时,最小二乘法不再有效。然而,如果将镜面视为基础颜色椭球的异常值,那么鲁棒方法仍然可以在RGB空间中找到该表面。本文采用最小二乘中值法同时进行形状恢复和镜面检测。
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引用次数: 22
Analytical Characterization of the Feature Detectability Constraints of Resolution, Focus, and Field-of-View for Vision Sensor Planning 用于视觉传感器规划的分辨率、焦点和视场特征可检测性约束的分析表征
Pub Date : 1994-05-01 DOI: 10.1006/ciun.1994.1024
Tarabanis K., Tsai R.Y., Allen P.K.

In this paper, we analytically characterize the domain of admissible camera locations, orientations, and optical settings for which features of interest in a scene are in focus, inside the field-of-view, and magnified to a certain specification. A general 3D viewing geometry is considered and the camera lens is modeled by a general thick lens model. The analytical relationships describing the complete viewpoint loci that satisfy the above optical feature detectability constraints of resolution, focus, and field-of-view are obtained. These analytical relationships are used as sensor placement constraints in the MVP model-based vision sensor planning system that we have developed. MVP automatically determines viewpoints that satisfy viewing constraints such as the feature detectability constraints discussed in this paper.

在本文中,我们分析表征了可接受的相机位置,方向和光学设置的域,其中场景中感兴趣的特征在焦点中,在视场内,并放大到一定规格。考虑了一般的三维观看几何形状,并采用一般的厚透镜模型对相机镜头进行建模。得到了描述满足上述分辨率、焦距和视场等光学特征可检测性约束的完整视点轨迹的解析关系。这些分析关系在我们开发的基于MVP模型的视觉传感器规划系统中用作传感器放置约束。MVP自动确定满足观看约束的视点,如本文讨论的特征可检测性约束。
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引用次数: 51
Curve Extraction in Images Using a Multiresolution Framework 使用多分辨率框架提取图像中的曲线
Pub Date : 1994-05-01 DOI: 10.1006/ciun.1994.1025
Calway A.D., Wilson R.

A multiresolution approach to curve extraction in images is described. Based on a piecewise linear representation of curves, the scheme combines an efficient method of extracting line segments with a grouping process to identify curve traces. The line segments correspond to linear features defined at appropriate spatial resolutions within a quadtree structure and are extracted using a hierarchical decision process based on frequency domain properties. Implementation is achieved through the use of the multiresolution Fourier transform, a linear transform providing spatially localized estimates of the frequency spectrum over multiple scales. The scheme is simple to implement and computationally inexpensive, and results of experiments performed on natural images demonstrate that its performance compares favorably with that of existing methods.

介绍了一种多分辨率图像曲线提取方法。该方案基于曲线的分段线性表示,将有效的线段提取方法与分组过程相结合,以识别曲线轨迹。线段对应于在四叉树结构中以适当的空间分辨率定义的线性特征,并使用基于频域属性的分层决策过程提取。通过使用多分辨率傅里叶变换实现,这是一种线性变换,可在多个尺度上提供频谱的空间局部估计。该方案实现简单,计算成本低,在自然图像上进行的实验结果表明,其性能优于现有方法。
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引用次数: 12
Statistical Analysis of Geometric Computation 几何计算的统计分析
Pub Date : 1994-05-01 DOI: 10.1006/ciun.1994.1020
Kanatani K.

This paper studies the statistical behavior of errors involved in fundamental geometric computations. We first present a statistical model of noise in terms of the covariance matrix of the N-vector. Using this model, we compute the covariance matrices of N-vectors of lines and their intersections. Then, we determine the optimal weights for the least-squares optimization and compute the covariance matrix of the resulting optimal estimate. The result is then applied to line fitting to edges and computation of vanishing points and focuses of expansion. We also point out that statistical biases exist in such computations and present a scheme called renormalization, which iteratively removes the bias by automatically adjusting to noise without knowing noise characteristics. Random number simulations are conducted to confirm our analysis.

本文研究了基本几何计算中误差的统计行为。我们首先根据n向量的协方差矩阵提出了噪声的统计模型。利用该模型,我们计算了n个直线向量及其交点的协方差矩阵。然后,我们确定最小二乘优化的最优权重,并计算得到的最优估计的协方差矩阵。然后将结果应用于边缘的线拟合以及消失点和扩展焦点的计算。我们还指出在这种计算中存在统计偏差,并提出了一种称为重整化的方案,该方案在不知道噪声特征的情况下通过自动调整噪声来迭代地消除偏差。随机数值模拟验证了我们的分析。
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引用次数: 31
期刊
CVGIP: Image Understanding
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