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We present the CPMA, a new method for medial axis pruning with noiserobustness and equivariance to isometric transformations. Our method leveragesthe discrete cosine transform to create smooth versions of a shape $\Omega$. Weuse the smooth shapes to compute a score function $\scorefunction$ that filtersout spurious branches from the medial axis. We extensively compare the CPMAwith state-of-the-art pruning methods and highlight our method's noiserobustness and isometric equivariance. We found that our pruning approachachieves competitive results and yields stable medial axes even in scenarioswith significant contour perturbations.

Cosine-Pruned Medial Axis: A new method for isometric equivariant and noise-free medial axis extraction