Cosine-Pruned Medial Axis: A New Method for Isometric Equivariant and Noise-Free Medial Axis Extraction
Copyright policy )Cosine-Pruned Medial Axis: A New Method for Isometric Equivariant and Noise-Free Medial Axis Extraction
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 $��$. 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.
- National University of Colombia Colombia
- University of Pennsylvania United States
- National University of Colombia
Stereo Vision and Depth Estimation, FOS: Computer and information sciences, Computer Vision and Pattern Recognition (cs.CV), Robustness (evolution), Computer Science - Computer Vision and Pattern Recognition, Computational Mechanics, Geometry, Biochemistry, Quantum mechanics, Gene, Shape Representation, Surface Parameterization, Engineering, Discrete cosine transform, FOS: Mathematics, Computer Graphics and Visualization Techniques, Analysis of Three-Dimensional Shape Structures, Trigonometric functions, Omega, Physics, isometric transformation, Discrete mathematics, Computer Graphics and Computer-Aided Design, Computer science, TK1-9971, Algorithm, Chemistry, morphological skeleton, Combinatorics, Computer Science, Physical Sciences, equivariance, Electrical engineering. Electronics. Nuclear engineering, Computer Vision and Pattern Recognition, medial axis pruning, Texture Mapping, Mathematics
Stereo Vision and Depth Estimation, FOS: Computer and information sciences, Computer Vision and Pattern Recognition (cs.CV), Robustness (evolution), Computer Science - Computer Vision and Pattern Recognition, Computational Mechanics, Geometry, Biochemistry, Quantum mechanics, Gene, Shape Representation, Surface Parameterization, Engineering, Discrete cosine transform, FOS: Mathematics, Computer Graphics and Visualization Techniques, Analysis of Three-Dimensional Shape Structures, Trigonometric functions, Omega, Physics, isometric transformation, Discrete mathematics, Computer Graphics and Computer-Aided Design, Computer science, TK1-9971, Algorithm, Chemistry, morphological skeleton, Combinatorics, Computer Science, Physical Sciences, equivariance, Electrical engineering. Electronics. Nuclear engineering, Computer Vision and Pattern Recognition, medial axis pruning, Texture Mapping, Mathematics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!