A Novel HPNVD Descriptor for 3D Local Surface Description

Jiming Sa, Xuecheng Zhang (), Yuan Yuan, Yuyan Song, Liwei Ding and Yechen Huang
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Jiming Sa: School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China
Xuecheng Zhang: School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China
Yuan Yuan: School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China
Yuyan Song: School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China
Liwei Ding: School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China
Yechen Huang: School of Information Engineering, Wuhan University of Technology, Wuhan 430070, China

Mathematics, 2024, vol. 13, issue 1, 1-27

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.

Keywords: point cloud; local feature description; feature matching; point cloud registration (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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