Rigid and Affine Registration of Smooth Surfaces using Differential Properties
Rigid and Affine Registration of Smooth Surfaces using Differential Properties
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使用微分属性对光滑表面进行刚性和仿射配准
DOI：
10.1007/bfb0028371
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
N. Ayache
中科院分区：
文献类型：
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作者：
J. Feldmar;N. Ayache
最近，几位研究人员（[BM 92]，[Zha 93]，[CM 92]，[ML 92]，[CLSB 92]）提出了非常有趣的方法，该方法基于迭代算法来刚性配准由一组3d点表示的表面，当位移的估计可用时。在本文中，我们提出了引进微分信息的点，以扩大该算法。首先，我们展示了如何有效地使用曲率叠加主框架在可能的对应点，以找到所需的粗略估计的位移。然后，我们解释了如何扩展该算法寻找两个表面之间的仿射变换。我们在点坐标中引入微分信息：这使我们能够匹配局部相似点。我们展示了如何通过仿射变换来变换这种差分信息。最后，我们在最佳仿射变换准则中引入曲率，并使用扩展卡尔曼滤波器将其最小化。所有这些扩展都通过在各种真实的生物医学表面上的实验来说明：牙齿、面孔、头骨和大脑。
Recently, several researchers ([BM92], [Zha93], [CM92], [ML92], [CLSB92]) have proposed very interesting methods based on an iterative algorithm to rigidly register surfaces represented by a set of 3d points, when an estimate of the displacement is available. In this paper, we propose to introduce differential informations on points to extend this algorithm. First, we show how to efficiently use curvatures to superpose principal frame at possible corresponding points in order to find the needed rough estimate of the displacement. Then, we explain how to extend this algorithm to look for an affine transformation between two surfaces. We introduce differential informations in points coordinates: this allows us to match locally similar points. We show how this differential information is transformed by an affine transformation. Finally, we introduce curvatures in the best affine transformation criterion and we minimize it using extended Kalman filters. All this extensions are illustrated with experiments on various real biomedical surfaces: teeth, faces, skulls and brains.