Nondistorting flattening maps and the 3-D visualization of colon CT images
Nondistorting flattening maps and the 3-D visualization of colon CT images
复制标题
DOI：
10.1109/42.875181
复制
发表时间：
2000-07-01
影响因子：
10.6
通讯作者：
Kikinis, R
中科院分区：
文献类型：
--
作者：
Haker, S;Angenent, S;Kikinis, R
在本文中，我们考虑了一种新的三维（3-D）可视化技术的基础上，表面平整的虚拟结肠镜检查，这种可视化方法可能是重要的虚拟结肠镜检查，因为他们有可能非侵入性地确定息肉和其他病理的存在。此外，我们演示了一种方法，提出了一个表面扫描整个结肠作为电影，并提供观众有机会检查表面上的每个点没有distortion.We使用一定的角度保持映射微分几何推导出一个明确的方法，从3-D结肠计算机断层扫描（CT）图像的平坦化表面。事实上，我描述了一个一般的方法的基础上离散的拉普拉斯-贝尔特拉米算子平坦的表面成平面的共形方式。从一个三角形的结肠表面表示，我们表明如何使用有限元技术，它考虑到特殊的边界条件的程序可以实现。我们还提供了简单的公式，可用于实时电影校正失真。
In this paper, we consider a novel three-dimensional (3-D) visualization technique based on surface flattening for virtual colonoscopy, Such visualization methods could be important in virtual colonoscopy because they have the potential for noninvasively determining the presence of polyps and other pathologies. Further, we demonstrate a method that presents a surface scan of the entire colon as a cine, and affords the viewer the opportunity to examine each point on the surface without distortion.We use certain angle-preserving mappings from differential geometry to derive an explicit method for flattening surfaces obtained from 3-D colon computed tomography (CT) imagery. Indeed, me describe a general method based on a discretization of the Laplace-Beltrami operator for flattening a surface into the plane in a conformal manner. From a triangulated surface representation of the colon, we indicate how the procedure may be implemented using a finite element technique, which takes into account special boundary conditions. We also provide simple formulas that may be used in a real-time cine to correct for distortion.