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Volumetric Segmentation of Range Images of 3D Objects Using Superquadric Models 基于超二次模型的三维物体距离图像的体积分割
Pub Date : 1993-11-01 DOI: 10.1006/ciun.1993.1044
Gupta A., Bajcsy R.

The problem of part definition, description, and decomposition is central to the shape recognition systems. We present a geometric model-driven framework for segmenting dense range data of complex 3D objects into their constituent parts in terms of surface (biquadrics) and volumetric (superquadrics) primitives, without a priori domain knowledge or stored models. Surface segmentation uses a novel local-to-global iterative regression approach of searching for the best piecewise biquadric description of the data. The region adjacency information, surface discontinuities, and global shape properties are extracted from biquadrics to guide the volumetric segmentation. Superquadric models are recovered by a global-to-local residual-driven procedure, which recursively segments the scene to derive the part-structure. A set of acceptance criteria provide the objective evaluation of intermediate descriptions and decide whether to terminate the procedure, or selectively refine the segmentation. The control module generates hypotheses about superquadric models at clusters of underestimated data and performs controlled extrapolation of part-models by shrinking the global model. Results are presented for real range images of varying complexity, including objects with occluding parts, and scenes where surface segmentation is not sufficient to guide the volumetric segmentation.

零件的定义、描述和分解是形状识别系统的核心问题。我们提出了一个几何模型驱动的框架,用于根据表面(双二次曲面)和体积(超二次曲面)原语将复杂3D物体的密集范围数据分割成其组成部分,而不需要先验的领域知识或存储模型。曲面分割使用一种新颖的局部到全局迭代回归方法来搜索数据的最佳分段双二次描述。从双二次曲面中提取区域邻接信息、表面不连续和全局形状属性,指导体分割。采用全局到局部的残差驱动方法对超二次模型进行复原,并对场景进行递归分割,得到部分结构。一套接受标准提供了中间描述的客观评价,并决定是否终止该过程,或有选择地改进分割。控制模块在被低估的数据簇上生成关于超二次模型的假设,并通过缩小全局模型对部分模型进行可控外推。给出了不同复杂性的真实距离图像的结果,包括具有遮挡部分的物体,以及表面分割不足以指导体积分割的场景。
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引用次数: 88
Computing Spatiotemporal Relations for Dynamic Perceptual Organization 动态感知组织的时空关系计算
Pub Date : 1993-11-01 DOI: 10.1006/ciun.1993.1046
Allmen M., Dyer C.R.

To date, the overwhelming use of motion in computational vision has been to recover the three-dimensional structure of the scene. We propose that there are other, more powerful, uses for motion. Toward this end, we define dynamic perceptual organization as an extension of the traditional (static) perceptual organization approach. Just as static perceptual organization groups coherent features in an image, dynamic perceptual organization groups coherent motions through an image sequence. Using dynamic perceptual organization, we propose a new paradigm for motion understanding and show why it can be done independently of the recovery of scene structure and scene motion. The paradigm starts with a spatiotemporal cube of image data and organizes the paths of points so that interactions between the paths, and perceptual motions such as common, relative, and cyclic are made explicit. The results of this can then be used for high-level motion recognition tasks.

到目前为止,运动在计算视觉中的主要应用是恢复场景的三维结构。我们认为运动还有其他更强大的用途。为此,我们将动态感知组织定义为传统(静态)感知组织方法的延伸。就像静态感知组织将图像中的连贯特征分组一样,动态感知组织通过图像序列将连贯运动分组。利用动态感知组织,我们提出了一种新的运动理解范式,并说明了为什么它可以独立于场景结构和场景运动的恢复。该范式从图像数据的时空立方体开始,并组织点的路径,以便路径和感知运动(如共同、相对和循环)之间的相互作用是明确的。这一结果可以用于高级动作识别任务。
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引用次数: 27
Identifying salient circular arcs on curves 识别曲线上显著的圆弧
Pub Date : 1993-11-01 DOI: 10.1006/CIUN.1993.1045
E. Saund
Abstract This paper addresses the problem of identifying perceptually significant segments on general planar curvilinear contours. Lacking a formal definition for what constitutes perceptual salience, we develop subjective criteria for evaluating candidate segmentations and formulate corresponding objective measures. An algorithm following these criteria delivers segments with following properties: (1) each segment is well approximated by a circular arc; (2) each pair of segments describe different sections of the contour; and (3) the curve either terminates or changes in orientation and/ or curvature beyond each end of every segment. The result is a description of the contour at multiple scales in terms of circular arcs that may overlap one another.
摘要:本文研究了一般平面曲线轮廓上感知意义分段的识别问题。由于缺乏对什么构成感知显著性的正式定义,我们制定了评估候选分割的主观标准,并制定了相应的客观措施。遵循这些标准的算法提供具有以下属性的段:(1)每个段都由圆弧很好地近似;(2)每对线段描述等高线的不同部分;(3)曲线终止或改变方向和/或曲率超出每段的每一端。其结果是用可能相互重叠的圆弧在多个尺度上描述轮廓。
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引用次数: 26
Congruence conditions for nonplanar developable surfaces and their application to surface recognition 非平面可展曲面的同余条件及其在曲面识别中的应用
Pub Date : 1993-11-01 DOI: 10.1006/CIUN.1993.1042
H. Q. Lu, J. Todhunter, T. Sze
Abstract This paper presents a new methodology of representing and matching nonplanar developable surfaces (NPDS) for the purpose of three-dimensional objects recognition. The constant-ratio property, a special property of an NPDS, is presented. Using this property, congruence conditions for two NPDS segments are derived that depend only on geometric and numerically computable properties of a surface. Based on these theoretical results, a developable surface description is presented and an algorithm is developed that matches an unknown NPDS with surface models to identify the unknown surface. The practical feasibility of this methodology is studied and is illustrated by various concrete examples using range images. The numerical computation involved in and the noise sensitivity of the approach are also addressed.
提出了一种用于三维物体识别的非平面可展曲面的表示和匹配方法。给出了NPDS的一个特殊性质——定比性质。利用这一性质,导出了仅依赖于曲面的几何和数值可计算性质的两个NPDS线段的同余条件。在此基础上,提出了一种可展曲面描述,并开发了一种将未知NPDS与曲面模型相匹配的算法来识别未知曲面。研究了该方法的实际可行性,并通过使用距离图像的具体实例进行了说明。文中还讨论了所涉及的数值计算和该方法的噪声敏感性。
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引用次数: 36
Sufficient Conditions for Double or Unique Solution of Motion and Structure 运动与结构双解或唯一解的充分条件
Pub Date : 1993-09-01 DOI: 10.1006/ciun.1993.1036
Hu X.P., Ahuja N.

This paper presents several sufficient conditions for a double or unique solution of the problem of motion and structure estimation of a rigid surface from pairs of monocular images. These conditions further the understanding of the uniqueness problem of rigid motion solution. We will show that five correspondences of noncolinear points that do not lie on a special type of quadratic curve, called a Maybank curve, in the image plane suffice to determine a pure rotation uniquely, and six correspondences of points that do not correspond to space points lying on a Maybank quadric suffice to determine a motion with nonzero translation uniquely. We will show that each Maybank quadric can sustain at most two physically acceptable motion solutions and surface interpretations, provided that a sufficient number of correspondences are present. In particular, we will show that in the plane motion case, six correspondences of points that do not lie on a quadratic curve in the image plane will admit only the true motion and structure and their duals as solutions. We will discuss how noise affects the uniqueness of solution and present a nonlinear algorithm for estimation of motion parameters. We will list several properties of the essential matrix T × R and the plane motion matrix R + TNτ, both of which are frequently used in the motion and structure estimation problem. Simulation results are provided for verifying the theorems in this paper.

本文给出了单目图像对刚体表面运动和结构估计问题的双解或唯一解的几个充分条件。这些条件进一步加深了对刚体运动解唯一性问题的认识。我们将证明,图像平面上不位于特殊类型的二次曲线(称为Maybank曲线)上的五个非线性点的对应足以唯一地确定纯旋转,并且不对应于Maybank二次曲线上的空间点的六个对应足以唯一地确定具有非零平移的运动。我们将证明,只要存在足够数量的对应关系,每个Maybank二次曲线最多可以维持两个物理上可接受的运动解和表面解释。特别地,我们将证明,在平面运动的情况下,六个不位于图像平面上的二次曲线上的点的对应将只承认真实的运动和结构及其对偶作为解。我们将讨论噪声如何影响解的唯一性,并提出一种估计运动参数的非线性算法。我们将列出基本矩阵T × R和平面运动矩阵R + TNτ的几个性质,这两个性质在运动和结构估计问题中经常使用。仿真结果验证了本文的定理。
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引用次数: 0
Model-Based Classification of Quadric Surfaces 基于模型的二次曲面分类
Pub Date : 1993-09-01 DOI: 10.1006/ciun.1993.1040
Newman T.S., Flynn P.J., Jain A.K.

Model-based 3D object recognition systems using range imagery typically employ entirely data-driven procedures for segmentation and surface classification. However, some recognition environments may contain only objects whose surface types and parameters are known a priori and can therefore be exploited by the early-processing steps used in the recognition system. We propose a new suite of model-driven techniques for identification of quadric surfaces (cones, cylinders, and spheres) in segmented range imagery. The methods employ surface positions and surface normal estimates in combination with the known parameters of surfaces in a database of object models. Second-derivative quantities (i.e., surface curvatures) are not used. The free parameters of cylinders and spheres are accumulated using a Hough transform, and free parameters of cones are estimated using a regression procedure. Experiments are presented for numerous scenes of both real and synthetic objects including part jumbles, objects in many poses, objects containing concave and convex surfaces, and noiseless and noisy synthetic range images of objects. Our experimental results show that the proposed surface classification methods can accurately recover surface parameters from both synthetic and real images, making them viable for environments with partial knowledge of surface type and parameters.

使用距离图像的基于模型的3D物体识别系统通常采用完全数据驱动的分割和表面分类程序。然而,一些识别环境可能只包含其表面类型和参数先验已知的对象,因此可以通过识别系统中使用的早期处理步骤加以利用。我们提出了一套新的模型驱动技术,用于识别分割范围图像中的二次曲面(锥体,圆柱体和球体)。该方法结合物体模型数据库中已知的表面参数,采用表面位置和表面法线估计。二阶导数量(即曲面曲率)不使用。利用霍夫变换累积柱体和球体的自由参数,利用回归方法估计锥体的自由参数。本文对真实物体和合成物体的场景进行了实验,包括部分混乱、多种姿态的物体、含有凹面和凸面的物体,以及物体的无噪声和有噪声的合成范围图像。实验结果表明,所提出的表面分类方法可以准确地从合成图像和真实图像中恢复表面参数,使其适用于部分了解表面类型和参数的环境。
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引用次数: 46
Which Hough Transform? 哪种霍夫变换?
Pub Date : 1993-09-01 DOI: 10.1006/ciun.1993.1041
Leavers V.F.

The Hough transform is recognized as being a powerful tool in shape analysis which gives good results even in the presence of noise and occlusion. Major shortcomings of the technique are excessive storage requirements and computational complexity. Solutions to these problems form the bulk of contributions to the literature concerning the Hough transform. An excellent comprehensive review of available methods up to and partially including 1988 is given by Illingworth and Kittler (Comput. Vision Graphics Image Process. 44, 1988, 87-116). In the years following this survey much new literature has been published. The present work offers an update on state of the art Hough techniques. This includes comparative studies of existing techniques, new perspectives on the theory, very many novel algorithms, parallel implementations, and additions to the task-specific hardware. Care is taken to distinguish between research that aims to further basic understanding of the technique without necessarily being computationally realistic and research that may be applicable in an industrial context. A new trend in Hough transform work, that of the probabilistic Houghs, is identified and reviewed in some detail. Attempts to link the low level perceptive processing offered by the Hough transform to high level knowledge driven processing are also included, together with the many recent successful applications appearing in the literature.

霍夫变换在形状分析中是一种强有力的工具,即使在存在噪声和遮挡的情况下也能得到很好的结果。该技术的主要缺点是存储要求过高和计算复杂性。这些问题的解决方案构成了有关霍夫变换的文献的大部分贡献。Illingworth和Kittler (Comput)对1988年之前和部分包括1988年在内的可用方法进行了极好的全面回顾。视觉图形图像处理。44,1988,87-116)。在这次调查之后的几年里,发表了许多新的文献。目前的工作提供了最新的艺术霍夫技术的状态。这包括对现有技术的比较研究、对理论的新观点、非常多的新算法、并行实现以及对特定任务硬件的添加。要注意区分旨在进一步了解该技术而不一定在计算上切合实际的研究和可能适用于工业环境的研究。本文指出了霍夫变换的一个新趋势,即概率霍夫变换,并对其进行了详细的评述。还包括将霍夫变换提供的低水平感知加工与高水平知识驱动加工联系起来的尝试,以及最近在文献中出现的许多成功应用。
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引用次数: 381
Intensity and Edge-Based Symmetry Detection with an Application to Car-Following 基于强度和边缘的对称性检测在汽车跟踪中的应用
Pub Date : 1993-09-01 DOI: 10.1006/ciun.1993.1037
Zielke T., Brauckmann M., Vonseelen W.

We present two methods for detecting mirror symmetry in images, one based directly on the intensity values and another one based on a discrete representation of local orientation. A symmetry finder has been developed which uses the intensity-based method to search an image for compact regions which display some degree of mirror symmetry due to intensity similarities across a straight axis. In a different approach, we look at symmetry as a bilateral relationship between local orientations. A symmetry-enhancing edge detector is presented which indicates edges dependent on the orientations at two different image positions. SEED, as we call it, is a detector element implemented by a feedforward network that holds the symmetry conditions. We use SEED to find the contours of symmetric objects of which we know the axis of symmetry from the intensity-based symmetry finder. The methods described in this paper have been developed and tested for the recognition and tracking of cars in a real-time system for automatic car-following and headway control on normal roads.

我们提出了两种检测图像镜像对称性的方法,一种是直接基于强度值,另一种是基于局部方向的离散表示。对称性查找器已经开发出来,它使用基于强度的方法来搜索图像的紧凑区域,这些区域由于在直轴上的强度相似而显示出一定程度的镜像对称性。在另一种方法中,我们将对称视为局部方向之间的双边关系。提出了一种对称增强的边缘检测器,该检测器根据图像在两个不同位置的方向指示边缘。我们称之为SEED,它是一个由前馈网络实现的探测器元件,它满足对称条件。我们使用SEED来查找对称物体的轮廓,我们从基于强度的对称查找器中知道对称轴。本文所描述的方法已经开发并测试用于在正常道路上自动车辆跟踪和车头时距控制实时系统中的车辆识别和跟踪。
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引用次数: 197
Velocity-Based Correspondence in Stereokinetic Images 立体动力学图像中基于速度的对应
Pub Date : 1993-09-01 DOI: 10.1006/ciun.1993.1034
Cornilleauperes V., Droulez J.

This paper explores the possibility of using the binocular optic flow as an input for the correspondence process between stereoscopic images. The main advantage of the stereocorrespondence from optic flow (SCOF) is that it does not require the use of any a priori hypothesis concerning the 3D object under analysis. In order to determine its performance relative to noisy data, we applied an algorithm of SCOF on different rigid surfaces undertaking various 3D motions. We found that when SCOF is possible it is rather robust to noise. Moreover, the study of its domain of optimal efficiency shows that SCOF is likely to cooperate well with static stereopsis or structure from motion algorithms, thereby strengthening the processing of dynamic stereo images. As far as human vision is concerned, our psychophysical results indicate that a SCOF process does not seem to be used in the perception of 3D structure. This could be accounted for by the poor contribution of convergence signals to the perception of absolute depth in human vision, which seems incompatible with the precise knowledge of the geometry of the viewing system required by the SCOF.

本文探讨了利用双目光流作为立体图像对应过程输入的可能性。光流的立体对应(SCOF)的主要优点是,它不需要使用任何先验假设的三维对象的分析。为了确定其相对于噪声数据的性能,我们在进行各种三维运动的不同刚性表面上应用了一种SCOF算法。我们发现,当SCOF是可能的,它是相当稳健的噪声。此外,对其最优效率域的研究表明,SCOF可能与静态立体视觉或运动结构算法很好地配合,从而加强对动态立体图像的处理。就人类视觉而言,我们的心理物理结果表明,SCOF过程似乎并未用于三维结构的感知。这可能是由于收敛信号对人类视觉绝对深度感知的不良贡献,这似乎与SCOF所需的观看系统几何形状的精确知识不相容。
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引用次数: 8
An Image Algebra for Pictorial Data Manipulation 用于图像数据处理的图像代数
Pub Date : 1993-09-01 DOI: 10.1006/ciun.1993.1035
Jungert E., Chang S.K.

Manipulation and transformation of symbolic images requires, in order to become efficient, various high-level data structures and procedures. This is especially true for applications of heuristic type. This paper introduces an image algebra which is based on symbolic projections and includes three fundamental aspects, i.e., a set of powerful relational operators, a generalized representation of "empty space" objects, and multilevel data representation for hierarchical data. Application to spatial reasoning is discussed.

符号图像的操作和转换需要各种高级数据结构和过程才能变得高效。对于启发式的应用程序尤其如此。本文介绍了一种基于符号投影的图像代数,它包括三个基本方面:一组强大的关系算子、“空白空间”对象的广义表示和分层数据的多级数据表示。讨论了在空间推理中的应用。
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引用次数: 24
期刊
CVGIP: Image Understanding
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