Research on Quadric Surface Fitting Algorithm Based on CT Data

FAN Zhixuan; QUE Jiemin; WEI Cunfeng; LIU Baodong; WEI Biao

doi:10.15953/j.ctta.2022.040

Volume 32 Issue 1

Jan. 2023

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CT Theory and Applications > 2023 > 32(1): 35-42. > DOI: 10.15953/j.ctta.2022.040

FAN Z X, QUE J M, WEI C F, et al. Research on Quadric Surface Fitting Algorithm Based on CT Data[J]. CT Theory and Applications, 2023, 32(1): 35-42. DOI: 10.15953/j.ctta.2022.040. (in Chinese).

Citation:

FAN Z X, QUE J M, WEI C F, et al. Research on Quadric Surface Fitting Algorithm Based on CT Data[J]. CT Theory and Applications, 2023, 32(1): 35-42. DOI: 10.15953/j.ctta.2022.040. (in Chinese).

Citation:

FAN Z X, QUE J M, WEI C F, et al. Research on Quadric Surface Fitting Algorithm Based on CT Data[J]. CT Theory and Applications, 2023, 32(1): 35-42. DOI: 10.15953/j.ctta.2022.040. (in Chinese).

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Research on Quadric Surface Fitting Algorithm Based on CT Data

FAN Zhixuan^{1a, 2,},
QUE Jiemin²,
WEI Cunfeng^{2, 3},
LIU Baodong^{2, 3, ,},
WEI Biao^1b, ,

1.
Chongqing University, Chongqing 400044, China College of Automation
2.
Chongqing University, Chongqing 400044, China College of Optoelectronic Engineering
2.
Institute of High Energy Physics, Chinese Academy of Sciences (Beijing Engineering Research Center of Radiographic Techniques and Equipment), Beijing 100049, China
3.
School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, China

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Received Date: March 08, 2022
Revised Date: April 02, 2022
Accepted Date: April 11, 2022
Available Online: May 30, 2022
Published Date: January 30, 2023

Graphical Abstract

Abstract

Abstract

Quadric surface is a common type of workpiece shape in industry. It can be imaged by computed tomography (CT). A sample object was scanned and its slices were reconstructed to measure its internal quadric surface. We used the U-net image segmentation network to obtain the interested region and then detected the edge in the segmentation results and obtained curve fitting results. The curves were stacked into a three-dimensional point set. The three-dimensional spatial coordinate information for the internal quadric surface was computed through surface fitting. The results demonstrate that the proposed method can effectively extract the internal quadric surface parameters, and the fitting error can be controlled within 1%, which is superior to that achieved with a traditional algorithm.
- ICT,
- deep learning,
- quadric surface,
- curving fitting

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