Droske Marc, Meyer Bernhard, Rumpf Martin, Schaller Carlo
Department of Numerical Mathematics and Scientific Computing, University of Duisburg, Germany.
Neurol Res. 2005 Jun;27(4):363-70. doi: 10.1179/016164105X48842.
Meaningful segmentation of intracranial lesions can be of assistance for planning open navigated microneurosurgical procedures, as well as for radiotherapy. Meaningful segmentation, however, may be hampered by lack of computational power. The respective segmentation method should be based on state-of-the-art mathematical tools, and it should be suitable for real applications.
A three-dimensional computational method for interactive segmentation of intracranial tumors is presented. It is based on a front propagation method, in which the evolving front gradually approaches the boundary of a given segment. It generates and remembers the entire evolution of the interface. The segment boundary is chosen from a one parameter family. User interaction is realized by selecting "seed points" inside the object/lesion. External evolution velocity regulates the segmentation process, while approaching the boundary. Adaptively resolved grids ensure computational efficiency for larger segments. The resolution is steered by an image-based indicator, which allows coarse representation of the solution in low-frequency regions, but high resolution along suspected edges of the image.
Model-based segmentation was performed on the imaging data of n = 12 patients and the results compared with manual segmentation of the same tumors. The method allowed for basic segmentation in all tumors <3 minutes. This increased 2-4 fold in four irregular tumors, where discrepancies existed in comparison with manually performed segmentation.
The implicit formulations of this method establish methodical and topological flexibility in three dimensions. It is thus suitable for the segmentation of objects with non-sharp boundaries such as intracranial tumors.
颅内病变的有意义分割有助于规划开放式导航显微神经外科手术以及放射治疗。然而,由于缺乏计算能力,有意义的分割可能会受到阻碍。相应的分割方法应基于最先进的数学工具,并且应适用于实际应用。
提出了一种用于颅内肿瘤交互式分割的三维计算方法。它基于前沿传播方法,其中演化前沿逐渐接近给定片段的边界。它生成并记录界面的整个演化过程。片段边界从单参数族中选择。通过在物体/病变内部选择“种子点”来实现用户交互。外部演化速度在接近边界时调节分割过程。自适应解析网格确保了较大片段的计算效率。分辨率由基于图像的指标控制,该指标允许在低频区域对解进行粗略表示,但在图像的疑似边缘处具有高分辨率。
对n = 12例患者的成像数据进行基于模型的分割,并将结果与相同肿瘤的手动分割进行比较。该方法在所有肿瘤中均能在<3分钟内完成基本分割。在四个不规则肿瘤中,与手动分割相比存在差异,分割时间增加了2至4倍。
该方法的隐式公式在三维空间中建立了方法和拓扑的灵活性。因此,它适用于分割具有非清晰边界的物体,如颅内肿瘤。