Tetrahedron Distance Transform and Distance Sequence Matching for Point Cloud Creation in Angular‐Measurement‐Free Laser Scanning

This paper unprecedentedly presents a new method of angular‐measurement‐free laser scanning using distance sequence. In order to create point cloud only by distance measurements, distance transform is developed, and thereafter the homologous distances searching for an established tetrahedron are transformed into distance sequence matching. Considering distance monotony and error influence, baseline scaling and distance sequence unification are presented. Simulation results verify the reliability of our approach. Exact homologous distances are obtained through distance transform with baseline scaling. Subsequently, the point cloud is restored using the tetrahedron equation system. A majority selection criterion of distance offset with respect to all scale parameters is developed. It is demonstrated that there is a typical scale parameter from 0.17 to 0.22 which contributes the maximum similarity of the distance sequence and the correct distance combination. The actual experiment shows that the precision of point cloud creation using distance sequence is 0.01 m in the X and Y axes and 0.05 m in the Z axis approximately.

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Publication Details

Journal
Journal of Sensors
Published
2026-01-01
DOI
https://doi.org/10.1155/js/8023429
Primary Topic
Optical measurement and interference techniques
Type
article
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article

Tetrahedron Distance Transform and Distance Sequence Matching for Point Cloud Creation in Angular‐Measurement‐Free Laser Scanning

Journal of Sensors
Optical measurement and interference techniques
article

Tetrahedron Distance Transform and Distance Sequence Matching for Point Cloud Creation in Angular‐Measurement‐Free Laser Scanning

article en

Abstract

This paper unprecedentedly presents a new method of angular‐measurement‐free laser scanning using distance sequence. In order to create point cloud only by distance measurements, distance transform is developed, and thereafter the homologous distances searching for an established tetrahedron are transformed into distance sequence matching. Considering distance monotony and error influence, baseline scaling and distance sequence unification are presented. Simulation results verify the reliability of our approach. Exact homologous distances are obtained through distance transform with baseline scaling. Subsequently, the point cloud is restored using the tetrahedron equation system. A majority selection criterion of distance offset with respect to all scale parameters is developed. It is demonstrated that there is a typical scale parameter from 0.17 to 0.22 which contributes the maximum similarity of the distance sequence and the correct distance combination. The actual experiment shows that the precision of point cloud creation using distance sequence is 0.01 m in the X and Y axes and 0.05 m in the Z axis approximately.

Journal of SensorsVol. 2026(1)
Wuhan University (CN), Institute of Geodesy and Geophysics (CN)
Openalex Percentile: Top 10%
Optical measurement and interference techniques
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Tetrahedron Distance Transform and Distance Sequence Matching for Point Cloud Creation in Angular‐Measurement‐Free Laser Scanning · Journal of Sensors (2026) | TGRS Research Map | TGRS