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Shape representation by B-spline curve modeling with applications in invariant curve matching, motion estimation and object tracking.

机译:通过B样条曲线建模进行形状表示,并应用于不变曲线匹配,运动估计和对象跟踪。

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摘要

This thesis deals with the problems of: (1) matching planar curves that are modeled as B-splines, independently of possible affine transformations that the original curve has been subjected to (e.g., rotation, translation, scale, semi-perspective projection), and possible occlusion; and (2) estimating the 3-D motion parameters and tracking a moving object with markings (curves) on its surface.; The thesis presents an iterative and a fast algorithm for estimating the control points of the B-spline that is robust to non-uniform sampling, noise, and local deformations.; Curve matching is achieved by judiciously comparing the B-splines' control points when no affine transformation and occlusion are present. The affine transformation and occlusion parameters are estimated through the use of a new class of weighted B-spline curve moments which are well defined whether a curve is open or closed. Based on a finite set of weighted moments, a closed-form solution for the affine transformation parameters are obtained. When the observed curve is an occluded affine transformed version of one the prototype curves, we need to locate the segment on the prototype curve that was affine transformed to yield the observed curve. This problem is compounded by the fact that the occlusion and the affine transformation are tangled together. We decouple the occlusion and the affine transformation problems by considering an affine invariant error measure based on a set of absolute invariants that are computed from the weighted B-spline moments, and minimizing this error with respect to the starting and ending points of the segment. The minimization problem does not require a lot of computation, due to the fact that the B-spline weighted moments are contour integrations that are additive, i.e., decomposable into smaller contour integrations. The method is used for classifying affine transformed silhouette of aircrafts.; The affine invariant B-spline curve matching process is used in tracking a moving object which has markings on its surface, by establishing the correspondence of the image curves that resulted from viewing the same object marking at different times. Implicit in this correspondence is the motion parameters.
机译:本论文处理以下问题:(1)匹配建模为B样条的平面曲线,与原始曲线可能经历的仿射变换(例如旋转,平移,缩放,半透视投影)无关,和可能的遮挡; (2)估计3-D运动参数并跟踪在其表面上具有标记(曲线)的运动物体。本文提出了一种迭代的快速算法来估计B样条曲线的控制点,该算法对非均匀采样,噪声和局部变形具有鲁棒性。当不存在仿射变换和遮挡时,可以通过明智地比较B样条曲线的控制点来实现曲线匹配。仿射变换和遮挡参数是通过使用一类新的加权B样条曲线矩来估计的,这些矩矩可以很好地定义曲线是打开还是闭合。基于一组有限的加权矩,获得仿射变换参数的闭式解。当观察到的曲线是原型曲线的封闭仿射变换版本时,我们需要在原型曲线上定位经过仿射变换的线段以产生观察到的曲线。咬合和仿射变换纠缠在一起的事实使这个问题更加复杂。通过考虑基于从加权B样条矩计算出的一组绝对不变性的仿射不变误差测度,我们将遮挡和仿射变换问题解耦,并相对于线段的起点和终点使该误差最小。由于B样条加权矩是加和的,即可分解为较小轮廓积分的轮廓积分,因此最小化问题不需要大量计算。该方法用于对飞机的仿射变换轮廓进行分类。仿射不变B样条曲线匹配过程用于建立在其表面上有标记的移动物体,方法是建立在不同时间查看同一物体标记而产生的图像曲线的对应关系。在这种对应关系中隐含的是运动参数。

著录项

  • 作者

    Huang, Zhaohui.;

  • 作者单位

    Drexel University.;

  • 授予单位 Drexel University.;
  • 学科 Engineering Electronics and Electrical.
  • 学位 Ph.D.
  • 年度 1994
  • 页码 103 p.
  • 总页数 103
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 无线电电子学、电信技术;
  • 关键词

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