An Adaptive Hybrid Sampling Method for Free-Form Surfaces Based on Geodesic Distance

High precision geometric measurement of free-form surfaces has become the key to high-performance manufacturing in the manufacturing industry. By designing a reasonable sampling plan, the economic measurement of free-form surfaces can be realized. This paper proposes an adaptive hybrid sampling meth...

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Main Authors: Chen Chen, Huakun Jia, Yang Lu, Xiaodong Zhang, Haohan Chen, Liandong Yu
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/6/3224
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author Chen Chen
Huakun Jia
Yang Lu
Xiaodong Zhang
Haohan Chen
Liandong Yu
author_facet Chen Chen
Huakun Jia
Yang Lu
Xiaodong Zhang
Haohan Chen
Liandong Yu
author_sort Chen Chen
collection DOAJ
description High precision geometric measurement of free-form surfaces has become the key to high-performance manufacturing in the manufacturing industry. By designing a reasonable sampling plan, the economic measurement of free-form surfaces can be realized. This paper proposes an adaptive hybrid sampling method for free-form surfaces based on geodesic distance. The free-form surfaces are divided into segments, and the sum of the geodesic distance of each surface segment is taken as the global fluctuation index of free-form surfaces. The number and location of the sampling points for each free-form surface segment are reasonably distributed. Compared with the common methods, this method can significantly reduce the reconstruction error under the same sampling points. This method overcomes the shortcomings of the current commonly used method of taking curvature as the local fluctuation index of free-form surfaces, and provides a new perspective for the adaptive sampling of free-form surfaces.
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spelling doaj.art-6965cf811c1e4d0e9d33ad0c882bee232023-11-17T13:47:43ZengMDPI AGSensors1424-82202023-03-01236322410.3390/s23063224An Adaptive Hybrid Sampling Method for Free-Form Surfaces Based on Geodesic DistanceChen Chen0Huakun Jia1Yang Lu2Xiaodong Zhang3Haohan Chen4Liandong Yu5College of Control Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Control Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Control Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Control Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Control Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaCollege of Control Science and Engineering, China University of Petroleum (East China), Qingdao 266580, ChinaHigh precision geometric measurement of free-form surfaces has become the key to high-performance manufacturing in the manufacturing industry. By designing a reasonable sampling plan, the economic measurement of free-form surfaces can be realized. This paper proposes an adaptive hybrid sampling method for free-form surfaces based on geodesic distance. The free-form surfaces are divided into segments, and the sum of the geodesic distance of each surface segment is taken as the global fluctuation index of free-form surfaces. The number and location of the sampling points for each free-form surface segment are reasonably distributed. Compared with the common methods, this method can significantly reduce the reconstruction error under the same sampling points. This method overcomes the shortcomings of the current commonly used method of taking curvature as the local fluctuation index of free-form surfaces, and provides a new perspective for the adaptive sampling of free-form surfaces.https://www.mdpi.com/1424-8220/23/6/3224adaptive samplingfree-form surfacenon-uniform rational B-spline (NURBS)geodesic distance
spellingShingle Chen Chen
Huakun Jia
Yang Lu
Xiaodong Zhang
Haohan Chen
Liandong Yu
An Adaptive Hybrid Sampling Method for Free-Form Surfaces Based on Geodesic Distance
Sensors
adaptive sampling
free-form surface
non-uniform rational B-spline (NURBS)
geodesic distance
title An Adaptive Hybrid Sampling Method for Free-Form Surfaces Based on Geodesic Distance
title_full An Adaptive Hybrid Sampling Method for Free-Form Surfaces Based on Geodesic Distance
title_fullStr An Adaptive Hybrid Sampling Method for Free-Form Surfaces Based on Geodesic Distance
title_full_unstemmed An Adaptive Hybrid Sampling Method for Free-Form Surfaces Based on Geodesic Distance
title_short An Adaptive Hybrid Sampling Method for Free-Form Surfaces Based on Geodesic Distance
title_sort adaptive hybrid sampling method for free form surfaces based on geodesic distance
topic adaptive sampling
free-form surface
non-uniform rational B-spline (NURBS)
geodesic distance
url https://www.mdpi.com/1424-8220/23/6/3224
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