A Novel HPNVD Descriptor for 3D Local Surface Description

Existing methods for 3D local feature description often struggle to achieve a good balance between distinctiveness, robustness, and computational efficiency. To address this challenge, a novel 3D local feature descriptor named Histograms of Projected Normal Vector Distribution (HPNVD) is proposed. The HPNVD descriptor consists of two main components. First, a local reference frame (LRF) is constructed based on the covariance matrix and neighborhood projection to achieve invariance to rigid transformations. Then, the local surface normals are projected onto three coordinate planes within the LRF, which allows for effective encoding of the local shape information. The projection planes are further divided into multiple regions, and a histogram is computed for each plane to generate the final HPNVD descriptor. Experimental results demonstrate that the proposed HPNVD descriptor outperforms state-of-the-art methods in terms of descriptiveness and robustness, while maintaining compact storage and computational efficiency. Moreover, the HPNVD-based point cloud registration algorithm shows excellent performance, further validating the effectiveness of the descriptor.

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Publication Details

Journal
Mathematics
Published
2024-12-29
DOI
https://doi.org/10.3390/math13010092
Citations
1
Primary Topic
Robotics and Sensor-Based Localization
Type
article
Field-Weighted Citation Impact
1.30

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article

A Novel HPNVD Descriptor for 3D Local Surface Description

Yuyan Song, X. Zhang, Jiming Sa, Yuan Yuan et al.
1 citations
Mathematics
Robotics and Sensor-Based Localization
1.30
article

A Novel HPNVD Descriptor for 3D Local Surface Description

Yuyan Song, X. Zhang, Jiming Sa, Yuan Yuan, Yechen Huang, Liwei Ding
article en
1 citations

Abstract

Existing methods for 3D local feature description often struggle to achieve a good balance between distinctiveness, robustness, and computational efficiency. To address this challenge, a novel 3D local feature descriptor named Histograms of Projected Normal Vector Distribution (HPNVD) is proposed. The HPNVD descriptor consists of two main components. First, a local reference frame (LRF) is constructed based on the covariance matrix and neighborhood projection to achieve invariance to rigid transformations. Then, the local surface normals are projected onto three coordinate planes within the LRF, which allows for effective encoding of the local shape information. The projection planes are further divided into multiple regions, and a histogram is computed for each plane to generate the final HPNVD descriptor. Experimental results demonstrate that the proposed HPNVD descriptor outperforms state-of-the-art methods in terms of descriptiveness and robustness, while maintaining compact storage and computational efficiency. Moreover, the HPNVD-based point cloud registration algorithm shows excellent performance, further validating the effectiveness of the descriptor.

MathematicsVol. 13(1)
Wuhan University of Technology (CN)
National Natural Science Foundation of China
Sustainable cities and communities
Openalex Percentile: Top 11%
Robotics and Sensor-Based Localization
1.30
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A Novel HPNVD Descriptor for 3D Local Surface Description — Yuyan Song, X. Zhang, et al. · Mathematics (2024) | TGRS Research Map | TGRS