Discrepancy: Local/Global Shape Characterization with a Roundness Bias
Discrepancy: Local/Global Shape Characterization with a Roundness Bias
复制标题
差异：具有圆度偏差的局部/全局形状表征
DOI：
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发表时间：
2018
影响因子：
2
通讯作者：
S. Tari
中科院分区：
文献类型：
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作者：
Asli Gençtav;S. Tari
在形状表征应用中，圆盘形状经常作为参考出现。我们提出了一个与圆盘偏差的局部度量，作为偏微分方程组在形状上的数值解与修正的贝塞尔函数形式的解析表达式之间的局部差。在每个形状点定义的偏差在形状上定义了一个场。这个领域具有有用的性质，我们通过从形状分解到形状表征的说明性应用程序来演示这一点。此外，我们还证明了从场中提取的全局度量能够表征身体的圆度和周边厚度的均匀性。
Disk shape frequently appears as a reference in shape characterization applications. We propose a local measure of deviation from a disk as the local difference between numerical solution of a PDE on the shape and an analytical expression in the form of modified Bessel function. The deviation defined at each shape point defines a field over the shape. This field has useful properties, which we demonstrate via illustrative applications ranging from shape decomposition to shape characterization. Furthermore, we show that a global measure extracted from the field is capable of characterizing the body roundness and periphery thickness uniformity.