Kubínová L, Janácek J
Department of Biomathematics, Institute of Physiology, Academy of Sciences of the Czech Republic, Vídenská 1083, CZ-14220, Prague 4, Czech Republic.
J Microsc. 1998 Aug;191(2):201-211. doi: 10.1046/j.1365-2818.1998.00356.x.
The proposed fakir method for estimating surface area is based on counting the intersections between the surface lying within a thick slice, and an isotropic spatial grid consisting of a combination of linear probes called fakir probes. An unbiased procedure using a directly randomized spatial grid rather than sections with randomized directions is presented. The method is applicable if perfectly registered serial sections of the surface are available in a thick slice while the direction of the slice can be arbitrary. The efficiency of the fakir method using different arrangements of orthogonal triplets of fakir probes is evaluated and it is shown that mutually shifted probes are superior to non-shifted ones. The application software for interactive counting of intersections between computer-generated fakir probes and the surface within the stack of digitized images is described and demonstrated by two examples: estimation of the surface area of individual tobacco cell chains using a confocal microscope, and estimation of the total area of exposed surface of mesophyll cells in a barley leaf using a wide-field transmission microscope.
所提出的用于估计表面积的法基尔方法基于计算厚切片内表面与由称为法基尔探针的线性探针组合而成的各向同性空间网格之间的交点。提出了一种使用直接随机化空间网格而非具有随机方向切片的无偏程序。如果厚切片中有表面的完美配准连续切片，且切片方向可以是任意的，则该方法适用。评估了使用不同排列的法基尔探针正交三元组的法基尔方法的效率，结果表明相互移位的探针优于未移位的探针。描述了用于交互式计算计算机生成的法基尔探针与数字化图像堆栈内表面之间交点的应用软件，并通过两个示例进行了演示：使用共聚焦显微镜估计单个烟草细胞链的表面积，以及使用宽视场透射显微镜估计大麦叶片中叶肉细胞暴露表面的总面积。
