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Finitary 1-Simply Connected Digital Spaces 有限1-单连通数字空间
Pub Date : 1998-01-01 DOI: 10.1006/gmip.1997.0456
Gabor T. Herman

Finitary 1-simply connected digital spaces are discrete analogs of the important simply connected spaces in classical topology (i.e., connected spaces in which every loop can be continuously pulled to a point without leaving the space). Loosely speaking, 1-simply connected digital spaces are graphs in which there are no holes larger than a triangle. Many spaces previously studied in digital topology and geometry are instances of this concept. Boundaries in pictures defined over finitary 1-simply connected digital spaces have some desirable general properties; for example, they partition the space into a connected interior and a connected exterior. There is a “one-size-fits-all” algorithm which, given a picture over a finitary 1-simply connected digital space and a boundary face, will return the set of all faces in that boundary, provided only that this set is finite; the proof of correctness of this algorithm is an immediate consequence of the general properties of such spaces.

有限1-单连通数字空间是经典拓扑中重要单连通空间的离散类似物(即,每个环路可以连续地拉到一个点而不离开空间的连接空间)。广义地说,单连通的数字空间是没有比三角形更大的洞的图形。以前在数字拓扑和几何中研究的许多空间都是这个概念的实例。有限1-单连通数字空间上图像的边界具有一些理想的一般性质;例如,他们将空间划分为连接的内部和连接的外部。有一个“放之四海而皆准”的算法,给定一个有限单连通数字空间上的图片和一个边界面,它将返回该边界上所有面的集合,只要这个集合是有限的;这种算法的正确性的证明是这种空间的一般性质的直接结果。
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引用次数: 11
Region-Based Parametric Motion Segmentation Using Color Information 基于颜色信息的区域参数运动分割
Pub Date : 1998-01-01 DOI: 10.1006/gmip.1997.0453
Yucel Altunbasak , P.Erhan Eren, A.Murat Tekalp

This paper presents pixel-based and region-based parametric motion segmentation methods for robust motion segmentation with the goal of aligning motion boundaries with those of real objects in a scene. We first describe a two-step iterative procedure for parametric motion segmentation by either motion-vector or motion-compensated intensity matching. We next present a region-based extension of this method, whereby all pixels within a predefined spatial region are assigned the same motion label. These predefined regions may be fixed- or variable-size blocks or arbitrary-shaped areas defined by color or texture uniformity. A particular combination of these pixel-based and region-based methods is then proposed as a complete algorithm to obtain the best possible segmentation results on a variety of image sequences. Experimental results showing the benefits of the proposed scheme are provided.

本文提出了基于像素和基于区域的参数运动分割方法,以鲁棒运动分割为目标,使运动边界与场景中真实物体的运动边界对齐。我们首先描述了通过运动矢量或运动补偿强度匹配进行参数运动分割的两步迭代过程。接下来,我们提出了一种基于区域的扩展方法,即预定义空间区域内的所有像素被分配相同的运动标签。这些预定义区域可以是固定大小或可变大小的块,也可以是由颜色或纹理均匀性定义的任意形状的区域。然后提出了这些基于像素和基于区域的方法的特定组合,作为一种完整的算法,以在各种图像序列上获得最佳的分割结果。实验结果表明了该方案的有效性。
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引用次数: 125
Boundary Extraction from Gray-Scale Document Images Based on Surface Data Structures 基于表面数据结构的灰度文档图像边界提取
Pub Date : 1998-01-01 DOI: 10.1006/gmip.1997.0452
Hirobumi Nishida

Recognition of documents of poor image quality is a challenging and important problem from a practical point of view. In traditional approaches, features such as center lines of strokes or contours are extracted from binary images obtained by thresholding the gray-scale intensity images. Wang and Pavlidis (IEEE Trans. Pattern Anal. Machine Intell. 15(10), 1993, 1053–1067) have recently pointed out that effective features for recognition should be extracted directly from original gray-scale intensity images in order to avoid a significant amount of information loss caused by binarization. In this paper, a novel method is presented for extracting closed boundaries of document components such as characters and symbols directly from gray-scale document images, based on the surface data structures and structural features. The gray-scale document image can be treated as a surface defined over a two-dimensional space by regarding intensity values associated with pixels as height. This method is based on a simple model that assumes a closed boundary of document components can be approximated as a series of horizontal (parallel to the image plane) line segments and can be extracted by linking surface components with steep gradients based on configurations of intersections of horizontal planes and surface components. Furthermore, the gray-scale image can be converted into a binary image based on extracted boundaries so that any recognition system can accept output of the proposed algorithm as input. The performance of the proposed algorithm is compared with some binarization algorithms based on global and local thresholding of intensity values and is shown to be effective for improving recognition accuracy for very poor quality data.

从实际的角度来看,图像质量差的文档识别是一个具有挑战性和重要的问题。在传统的方法中,从灰度灰度图像阈值化得到的二值图像中提取笔画或轮廓的中心线等特征。Wang和Pavlidis (IEEE译)。模式肛门。Machine intel . 15(10), 1993,1053 - 1067)最近指出,为了避免二值化造成的大量信息损失,应该直接从原始灰度强度图像中提取有效的识别特征。本文提出了一种基于表面数据结构和结构特征,直接从灰度文档图像中提取字符、符号等文档成分封闭边界的新方法。通过将与像素相关的强度值视为高度,可以将灰度文档图像视为在二维空间上定义的表面。该方法基于一个简单的模型,该模型假设文档组件的封闭边界可以近似为一系列水平(平行于图像平面)线段,并且可以通过基于水平面和表面组件相交的配置连接具有陡峭梯度的表面组件来提取。此外,基于提取的边界可以将灰度图像转换为二值图像,使得任何识别系统都可以接受该算法的输出作为输入。将该算法的性能与基于强度值全局阈值和局部阈值的二值化算法进行了比较,结果表明该算法可以有效地提高对非常差质量数据的识别精度。
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引用次数: 3
Maximum Segmented Image Information Thresholding 最大分割图像信息阈值
Pub Date : 1998-01-01 DOI: 10.1006/gmip.1997.0455
C.K. Leung , F.K. Lam

Utilizing information theory and considering image segmentation from a communication perspective, the image segmentation process is interpreted as a data processing step that operates on a gray-scale image and produces a segmented image. It is shown that the segmented image contains a certain amount of information about the scene, which is defined assegmented image information(SII). It is proposed that the SII should be maximized when an image is thresholded, and this is known as themaximum segmented image information(MSII) thresholding criterion. The MSII thresholding criterion possesses better properties as compared with theminimum error(MINE) and theuniform error(UNFE) thresholding criteria. Based on the MSII thresholding criterion, an MSII thresholding algorithm is proposed for the thresholding of real images. The MSII thresholding algorithm is evaluated against several well-known thresholding algorithms. The good thresholding results of both synthetic and real images confirm the capabilities of the proposed MSII thresholding algorithm.

利用信息理论并从通信的角度考虑图像分割,图像分割过程被解释为在灰度图像上操作并产生分割图像的数据处理步骤。结果表明,分割后的图像中包含一定量的场景信息,这些信息被定义为分段图像信息(assegmented image information, SII)。本文提出在对图像进行阈值处理时SII值应最大化,这被称为最大分割图像信息(MSII)阈值准则。与最小误差(MINE)和均匀误差(UNFE)阈值准则相比,MSII阈值准则具有更好的性能。基于MSII阈值分割准则,提出了一种用于真实图像阈值分割的MSII阈值分割算法。MSII阈值算法与几种著名的阈值算法进行了比较。合成图像和真实图像的阈值分割效果都很好,验证了所提出的MSII阈值分割算法的能力。
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引用次数: 39
Visibility Computation on Reconfigurable Meshes 可重构网格的可见性计算
Pub Date : 1997-11-01 DOI: 10.1006/gmip.1997.0440
Kikuo Fujimura

Visibility problems are investigated using reconfigurable meshes. A number of algorithms are proposed on the architecture for visibility computation in two and three dimensions. We show that visibility of a total ofndisjoint edges in the plane can be computed inO(1) time on ann×nmesh. The result is optimal in the word model of VLSI. For the case that the edges are not disjoint, the problem is shown to be solvable inO(1) time by using a mesh of slightly larger size or in slightly more time on ann×nmesh. We also present hidden-line and surface elimination algorithms that run on ann×n×nmesh for a set of disjoint triangles in 3-space containing a total ofnvertices inO(1) time andO(k) time, respectively, where 0 ≤k<nis an output-dependent parameter.

使用可重构网格研究可见性问题。在二维和三维可见性计算的体系结构上提出了许多算法。我们证明了平面上所有不相交边的可见性可以在ann×nmesh上计算到inO(1)时间。在超大规模集成电路的世界模型中,其结果是最优的。对于边不相交的情况,通过在ann×nmesh上使用稍大的网格或稍长的时间,可以在(1)时间内解决问题。我们还提出了隐线和表面消除算法,这些算法在ann×n×nmesh上运行,用于3-空间中的一组不相交三角形,它们分别包含inO(1)时间和do (k)时间的总逆顶点,其中0≤k<是与输出相关的参数。
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引用次数: 3
Geometric Shape Recognition of Freeform Curves and Surfaces 自由曲面和曲线的几何形状识别
Pub Date : 1997-11-01 DOI: 10.1006/gmip.1997.0441
Gershon Elber , Myung-Soo Kim

Recognizing the construction methods of (piecewise) polynomial or rational curves and surfaces is of great importance, e.g., for geometrical data exchange between two different modeling systems. We formulateintrinsicconditions that are parameterization independent whenever possible. These conditions can detect: (i) whether a curve segment is a line, a circle, or a planar curve; (ii) whether a surface patch is a plane, a sphere, a cylinder, or a cone; and (iii) whether a surface is constructed as a surface of revolution/extrusion, a ruled/developable surface, or a generalized cylinder.

认识到(分段)多项式或有理曲线和曲面的构造方法是非常重要的,例如,在两个不同的建模系统之间进行几何数据交换。我们尽可能制定与参数化无关的固有条件。这些条件可以检测:(i)曲线段是直线、圆还是平面曲线;(ii)表面斑块是平面、球体、圆柱体还是锥体;(3)曲面是旋转/挤压曲面、直纹/可展曲面还是广义圆柱曲面。
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引用次数: 2
Vector Field Analysis and Synthesis Using Three-Dimensional Phase Portraits 利用三维相位肖像进行矢量场分析与合成
Pub Date : 1997-11-01 DOI: 10.1006/gmip.1997.0445
Paul A. Philippou , Robin N. Strickland

Tools from dynamical systems theory are used to decompose 3-D vector fields into simpler building blocks consisting of critical points and phase portraits. A robust critical point detector is developed for three dimensions. Samples from the vector field surrounding each critical point are then used to estimate the associated linear phase portrait, which is written as a 3 × 3 matrix. The estimated matrix may be categorized into one of seven canonical forms by its eigenvalues, which remain consistent under an arbitrary differentiable mapping of the region. The original vector field behavior is estimated using two methods. In one technique, the global behavior is reconstructed using a weighted superposition of phase portraits. For more complex field patterns, a regular partition is imposed prior to phase portrait representation, and each individual partition is decomposed into a separate phase portrait. These methods provide a means of extracting the relevant features and information from the vector field in the form of a higher level descriptor and provide a means of reconstructing the field qualitatively from those descriptors. The method is demonstrated on fluid flow data.

使用动力系统理论的工具将三维矢量场分解为由临界点和相位肖像组成的更简单的构建块。研制了一种鲁棒的三维临界点检测器。然后使用每个临界点周围向量场的样本来估计相关的线性相位肖像,该肖像被写成3 × 3矩阵。估计矩阵的特征值在区域的任意可微映射下保持一致,可被划分为七种标准形式之一。用两种方法估计了原始矢量场的行为。在一种技术中,使用相位肖像的加权叠加来重建全局行为。对于更复杂的字段模式,在阶段肖像表示之前施加一个规则的分区,并且每个单独的分区被分解成一个单独的阶段肖像。这些方法提供了一种以更高层次描述符的形式从向量场提取相关特征和信息的方法,并提供了一种从这些描述符定性地重建字段的方法。用流体流动数据对该方法进行了验证。
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引用次数: 19
Segmentation of Planar Curves into Straight-Line Segments and Elliptical Arcs 平面曲线分割成直线段和椭圆弧
Pub Date : 1997-11-01 DOI: 10.1006/gmip.1997.0450
Wenhua Wan , José A. Ventura

This paper presents a procedure for segmenting planar curves, mainly the projected boundary contours of machined parts, into straight-line segments and elliptical arcs. The break points are divided into two types: corners and smooth joins. The corners are detected by first applying adaptive smoothing to the tangent orientation along the curve, then taking the derivative of the smoothed tangent orientation, and finally locating the high spikes on the derivative. The smooth joins are first roughly located by a dynamic focusing fitting technique and then refined by an adjustment algorithm. The dynamic focusing fitting technique holds one end of a curve segment (which is bounded by a pair of adjacent corners) fixed and scans it from the other end until it focuses on a component segment which fits either a straight line or an elliptical arc. This component segment is identified and the process is repeated in the same manner for the rest of the curve. In the refining stage, each smooth join is adjusted to the left or to the right, point by point, until the measurement of goodness of fit for the curve segment is optimized. Tests of the procedure were performed with the boundary curves of three real object images.

本文提出了一种将平面曲线(主要是被加工零件的投影边界轮廓)分割成直线段和椭圆弧的方法。断点分为两种类型:角和平滑连接。首先对曲线的切线方向进行自适应平滑,然后对光滑的切线方向求导,最后在导数上定位高尖峰,从而检测出角点。首先通过动态聚焦拟合技术对光滑连接点进行粗略定位,然后通过调整算法对平滑连接点进行细化。动态聚焦拟合技术将曲线段的一端(以一对相邻的角为界)固定,并从另一端对其进行扫描,直到聚焦在适合直线或椭圆弧的组件段上。确定了这个组件段,然后以相同的方式对曲线的其余部分重复该过程。在细化阶段,每个平滑连接被向左或向右调整,逐点,直到曲线段的拟合优度的测量优化。用三幅真实物体图像的边界曲线对该方法进行了测试。
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引用次数: 36
Adaptive Early Jump-Out Technique for Fast Motion Estimation in Video Coding 视频编码中快速运动估计的自适应早期跳出技术
Pub Date : 1997-11-01 DOI: 10.1006/gmip.1997.0449
Ho-Chao Huang , Yi-Ping Hung

An adaptive early jump-out technique for speeding up the block-based motion estimation is proposed. By using the new technique, we can speed up the full range search several times without losing the picture quality significantly. The proposed technique can also be embedded in almost all the existing fast motion estimation algorithms to speed up the computation further. Since the proposed technique can be embedded in the existing motion estimation algorithms, it can be applied to almost all the standard video codecs, such as the MPEG coder, and improve the coding speed of such codecs significantly. Our technique has been tested on the H.261, the H.263, and the MPEG-I codecs, and the coding speed does improve significantly.

提出了一种自适应早期跳出技术,提高了基于块的运动估计速度。通过使用新技术,我们可以在不明显损失图像质量的情况下将全范围搜索速度提高几倍。该技术还可以嵌入到几乎所有现有的快速运动估计算法中,以进一步加快计算速度。由于该技术可以嵌入到现有的运动估计算法中,因此它可以应用于几乎所有的标准视频编解码器,如MPEG编码器,并显着提高了这些编解码器的编码速度。我们的技术已经在H.261、H.263和MPEG-I编解码器上进行了测试,编码速度有了明显的提高。
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引用次数: 0
Multidimensional Alignment Using the Euclidean Distance Transform 利用欧几里得距离变换的多维对齐
Pub Date : 1997-11-01 DOI: 10.1006/gmip.1997.0447
Dorota Kozinska , Oleh J. Tretiak , Jonathan Nissanov , Cengizhan Ozturk
Abstract We present a methodology for alignment of multidimensional data sets that is based on the Euclidean distance transform and the Marquardt–Levenberg optimization algorithm. The proposed approach operates on pixel or voxel descriptions of objects to be matched and estimates the parameters of a space transformation for optimal alignment of objects. The computational cost of an algorithm developed with this method is estimated. The methodology is tested by developing an algorithm for rigid body transformation alignment of three-dimensional data sets. Tests with synthetic and real objects indicate that the method is accurate, reliable, and robust.
我们提出了一种基于欧几里得距离变换和Marquardt-Levenberg优化算法的多维数据集对齐方法。该方法对待匹配对象的像素或体素描述进行操作,并估计空间变换参数以实现对象的最佳对齐。估计了用这种方法开发的算法的计算量。通过开发一种三维数据集的刚体变换对齐算法对该方法进行了测试。实验结果表明,该方法准确、可靠、鲁棒性好。
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引用次数: 88
期刊
Graphical Models and Image Processing
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