Algorithms for ridge estimation with convergence guarantees

• URL: http://arxiv.org/abs/2104.12314v1
• Date: Mon, 26 Apr 2021 01:57:04 GMT
• Title: Algorithms for ridge estimation with convergence guarantees
• Authors: Wanli Qiao and Wolfgang Polonik
• Abstract summary: We consider the extraction of filamentary structure from a point cloud. The filaments are modeled as ridge lines or higher dimensional ridges of an underlying density. We propose two novel algorithms, and provide theoretical guarantees for their convergences.
• Score: 1.90365714903665
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The extraction of filamentary structure from a point cloud is discussed. The filaments are modeled as ridge lines or higher dimensional ridges of an underlying density. We propose two novel algorithms, and provide theoretical guarantees for their convergences. We consider the new algorithms as alternatives to the Subspace Constraint Mean Shift (SCMS) algorithm that do not suffer from a shortcoming of the SCMS that is also revealed in this paper.

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