Gmd: Gaussian mixture descriptor for pair matching of 3D fragments

Fuente: arXiv
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Autores principales: Xiong, Meijun, Shi, Zhenguo, Zhou, Xinyu, Zhang, Yuhe, Zhang, Shunli
Formato: Preprint
Publicado: 2026
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author Xiong, Meijun
Shi, Zhenguo
Zhou, Xinyu
Zhang, Yuhe
Zhang, Shunli
author_facet Xiong, Meijun
Shi, Zhenguo
Zhou, Xinyu
Zhang, Yuhe
Zhang, Shunli
contents In the automatic reassembly of fragments acquired using laser scanners to reconstruct objects, a crucial step is the matching of fractured surfaces. In this paper, we propose a novel local descriptor that uses the Gaussian Mixture Model (GMM) to fit the distribution of points, allowing for the description and matching of fractured surfaces of fragments. Our method involves dividing a local surface patch into concave and convex regions for estimating the k value of GMM. Then the final Gaussian Mixture Descriptor (GMD) of the fractured surface is formed by merging the regional GMDs. To measure the similarities between GMDs for determining adjacent fragments, we employ the L2 distance and align the fragments using Random Sample Consensus (RANSAC) and Iterative Closest Point (ICP). The extensive experiments on real-scanned public datasets and Terracotta datasets demonstrate the effectiveness of our approach; furthermore, the comparisons with several existing methods also validate the advantage of the proposed method.
format Preprint
id arxiv_https___arxiv_org_abs_2604_21519
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Gmd: Gaussian mixture descriptor for pair matching of 3D fragments
Xiong, Meijun
Shi, Zhenguo
Zhou, Xinyu
Zhang, Yuhe
Zhang, Shunli
Computer Vision and Pattern Recognition
In the automatic reassembly of fragments acquired using laser scanners to reconstruct objects, a crucial step is the matching of fractured surfaces. In this paper, we propose a novel local descriptor that uses the Gaussian Mixture Model (GMM) to fit the distribution of points, allowing for the description and matching of fractured surfaces of fragments. Our method involves dividing a local surface patch into concave and convex regions for estimating the k value of GMM. Then the final Gaussian Mixture Descriptor (GMD) of the fractured surface is formed by merging the regional GMDs. To measure the similarities between GMDs for determining adjacent fragments, we employ the L2 distance and align the fragments using Random Sample Consensus (RANSAC) and Iterative Closest Point (ICP). The extensive experiments on real-scanned public datasets and Terracotta datasets demonstrate the effectiveness of our approach; furthermore, the comparisons with several existing methods also validate the advantage of the proposed method.
title Gmd: Gaussian mixture descriptor for pair matching of 3D fragments
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2604.21519