Towards surface regularization via medial axis transitions

The reconstruction of objects from data in practical applications often leads to surfaces with small perturbations and other artifacts, which make the detection of their ridges and generalized axes difficult. We propose an approach to smoothing small structures while preserving ridges, which is base...

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Hauptverfasser: Leymarie, F.F., Kimia, B.B., Giblin, P.J.
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creator Leymarie, F.F.
Kimia, B.B.
Giblin, P.J.
description The reconstruction of objects from data in practical applications often leads to surfaces with small perturbations and other artifacts, which make the detection of their ridges and generalized axes difficult. We propose an approach to smoothing small structures while preserving ridges, which is based on the medial axis structure of the surface. The medial axis of the surface is organized as a graph structure and the closeness of the medial axis graph to points of instability (transitions) is used to identify those structures, which are most likely due to perturbations. The removal of these structures is our approach to regularizing both the medial axis and the surface. This paper focuses on a subset of medial transitions arising from protrusions and the method is illustrated for a few synthetic and real images.
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subjects Data engineering
Electric shock
Image reconstruction
Laser transitions
Mathematics
Object detection
Smoothing methods
Surface emitting lasers
Surface morphology
Surface reconstruction
title Towards surface regularization via medial axis transitions
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