<abstract xmlns="http://www.w3.org/1999/xhtml"><p> This work extends the dynamic programming approach to calculation of an elastic metric between two curves to finding paths in pairs of graph drawings that are closest under this metric. The new algorithm effectively solves this problem when all paths between two given nodes in one of these graphs have the same length. It is then applied to the problem of pattern recognition constrained by a superpixel segmentation. Segmentations of test images, obtained without statistical modeling given two shape endpoints, have good accuracy.</p></abstract>

This work extends the dynamic programming approach to calculation of an elastic metric between two curves to finding paths in pairs of graph drawings that are closest under this metric. The new algorithm effectively solves this problem when all paths between two given nodes in one of these graphs have the same length. It is then applied to the problem of pattern recognition constrained by a superpixel segmentation. Segmentations of test images, obtained without statistical modeling given two shape endpoints, have good accuracy.

Closest Paths in Graph Drawings under an Elastic Metric

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Closest Paths in Graph Drawings under an Elastic Metric"}

This work extends the dynamic programming approach to calculation of an elastic metric between two curves to finding paths in pairs of graph drawings that are...

Closest Paths in Graph Drawings under an Elastic Metric

Published Online: Jun 29, 2018

Page range: 387 - 397

Received: May 15, 2017

Accepted: Nov 19, 2017

DOI: https://doi.org/10.2478/amcs-2018-0029

Keywords
elastic shape analysis, pattern recognition, superpixel segmentation

© 2018 Mateusz Baran, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Closest Paths in Graph Drawings under an Elastic Metric

Published Online: Jun 29, 2018

Page range: 387 - 397

Received: May 15, 2017

Accepted: Nov 19, 2017

DOI: https://doi.org/10.2478/amcs-2018-0029

Keywordselastic shape analysis, pattern recognition, superpixel segmentation

© 2018 Mateusz Baran, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
elastic shape analysis, pattern recognition, superpixel segmentation