论文标题
余弦式固定的内侧轴：一种新的等距性和无噪声内侧轴提取的新方法
Cosine-Pruned Medial Axis: A new method for isometric equivariant and noise-free medial axis extraction
论文作者
论文摘要
我们提出CPMA，这是一种用噪声稳健性和对等轴测转换的噪声稳定性修剪的新方法。我们的方法利用离散的余弦变换来创建形状$ω$的平滑版本。我们使用光滑的形状来计算分数函数$ \分数函数$，该$ $ \ scorefunction $从内侧轴上过滤了伪造的分支。我们将CPMA与最先进的修剪方法进行了广泛的比较，并突出了我们方法的噪声稳健性和等距均衡性。我们发现，即使在具有明显的轮廓扰动的情况下，我们的修剪方法也能够获得竞争成果，并产生稳定的内侧轴。
We present the CPMA, a new method for medial axis pruning with noise robustness and equivariance to isometric transformations. Our method leverages the discrete cosine transform to create smooth versions of a shape $Ω$. We use the smooth shapes to compute a score function $\scorefunction$ that filters out spurious branches from the medial axis. We extensively compare the CPMA with state-of-the-art pruning methods and highlight our method's noise robustness and isometric equivariance. We found that our pruning approach achieves competitive results and yields stable medial axes even in scenarios with significant contour perturbations.
