Statistical validation of brain tumor shape approximation via spherical harmonics for image-guided neurosurgery
Statistical validation of brain tumor shape approximation via spherical harmonics for image-guided neurosurgery
复制标题
DOI：
10.1016/j.acra.2004.11.032
复制
发表时间：
2005-04-01
影响因子：
4.8
通讯作者：
Zou, KH
中科院分区：
文献类型：
--
作者：
Goldberg-Zimring, D;Talos, IF;Zou, KH
理由和目标。手术计划现在通常使用二维（2D）和三维（3D）模型，这些模型集成了来自多种成像模式的数据，每个模型突出显示形态或功能的一个或多个方面。我们进行了一个初步的评估，使用球谐函数（SH）在近似的3D形状和估计体积的脑肿瘤的不同特征。从我们的磁共振引导神经外科实践中随机选择了5例脑肿瘤患者的磁共振（MR）图像。测量肿瘤体积的标准化均方重建误差（SMSRE）。验证指标比较性能的SH方法对分割轮廓（SC）的骰子相似性系数（DSC）和标准化欧氏距离（SED）的措施。肿瘤体积范围为22413-85189 mm（3），三角模型中的顶点数范围为3674-6544。在SH近似度至少为30时，SMSRE在1.66 x 10（-5）mm（-1）范围内。综合测量得出的DSC范围为0.89-0.99（合并中位数为0.97，显著> 0.7; P <0.001），SED范围为0.0002-0.0028（合并中位数为0.0005）。肿瘤的3D形状可以通过使用SH来近似用于神经外科应用。
Rationale and Objectives. Surgical planning now routinely uses both two-dimensional (2D) and three-dimensional (3D) models that integrate data from multiple imaging modalities, each highlighting one or more aspects of morphology or function. We performed a preliminary evaluation of the use of spherical harmonics (SH) in approximating the 3D shape and estimating the volume of brain tumors of varying characteristics.Materials and Methods. Magnetic resonance (MR) images from five patients with brain tumors were selected randomly from our MR-guided neurosurgical practice. Standardized mean square reconstruction errors (SMSRE) by tumor volume were measured. Validation metrics for comparing performances of the SH method against segmented contours (SC) were the dice similarity coefficient (DSC) and standardized Euclidean distance (SED) measure.Results. Tumor volume range was 22413-85189 mm(3), and range of number of vertices in triangulated models was 3674-6544. At SH approximations with degree of at least 30, SMSRE were within 1.66 x 10(-5) mm(-1). Summary measures yielded a DSC range of 0.89-0.99 (pooled median, 0.97 and significantly > 0.7; P < .001) and an SED range of 0.0002-0.0028 (pooled median, 0.0005).Conclusion. 3D shapes of tumors may be approximated by using SH for neurosurgical applications.