| Li Enting,Zheng Wanjia,Lian Jinxing,Zhu Weiting,Zhou Su,An Yaqi,Huang Sijuan,Yang Xin.Application of Jacobian determinant of reverse deformation field to evaluation of deformation registration algorithm[J].Chinese Journal of Radiological Medicine and Protection,2024,44(2):133-139 |
| Application of Jacobian determinant of reverse deformation field to evaluation of deformation registration algorithm |
| Received:May 28, 2023 |
| DOI：10.3760/cma.j.cn112271-20230528-00164 |
| KeyWords:Jacobian determinant Deformation registration algorithm evaluation Lung cancer Nasopharyngeal carcinoma Displacement vector field |
| FundProject:广东省基础与应用基础研究基金(2021A1515220140);中山大学肿瘤防治中心"青年优创"计划(QNYCPY32);全国大学生创新训练项目(202213902102,S202213902029,S202113902030)广东省食管癌研究所科技计划项目(Q202221,Q202311);北京市希思科临床肿瘤学研究基金(Y-Young2023-0156) |
| Author Name | Affiliation | E-mail | | Li Enting | Department of Radiology, Eighth Affiliated Hospital, Sun Yat-sen University, Shenzhen 518033, China | | | Zheng Wanjia | Department of Oncology, Southern Theater Air Force Hospital of People's Liberation Army, Guangzhou 510050, China | | | Lian Jinxing | Department of Radiotherapy, First Affiliated Hospital of Guangzhou University of Chinese Medicine, Guangzhou 510000, China | | | Zhu Weiting | Guangzhou Xinhua College, School of Biomedical Engineering, Guangzhou, 510520, China | | | Zhou Su | Guangzhou Xinhua College, School of Biomedical Engineering, Guangzhou, 510520, China | | | An Yaqi | Guangzhou Xinhua College, School of Biomedical Engineering, Guangzhou, 510520, China | | | Huang Sijuan | Department of Radiotherapy, Sun Yat-sen University Cancer Center, State Key Laboratory of Oncology in South China, Collaborative Innovation Center for Cancer Medicine, Guangdong Key Laboratory of Nasopharyngeal Carcinoma Diagnosis and Therapy, Guangzhou 510060, China | | | Yang Xin | Department of Radiotherapy, Sun Yat-sen University Cancer Center, State Key Laboratory of Oncology in South China, Collaborative Innovation Center for Cancer Medicine, Guangdong Key Laboratory of Nasopharyngeal Carcinoma Diagnosis and Therapy, Guangzhou 510060, China | yangxin@sysucc.org.cn |
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| Abstract:: |
| Objective To effectively quantify and evaluate the quality of different deformation registration algorithms, in order to enhance the possibility of implementing deformation registration in clinical practice. Methods The Jacobian determinant mean (JDM) is proposed based on the Jacobian determinant (JD) of displacement vector field (DVF), and the Jacobian determinant error (DJDE) is introduced by incorporating the JD of the inverse DVF. The optical flow method (OF-DIR) and fast demons method with elastic regularization (FD-DIR) were tested on nasopharyngeal and lung cancer datasets. Finally, JDM and DJDE with the Jacobian determinant negative percentage (JDNP), inverse consistency error (ICE) and normalized mean square error (NMSE) were used to evaluate the registration algorithms and compare the differences evaluation indicators in different tumor images and different algorithms, and the receiver operating curve (ROC) was analyzed in evaluation. Results In lung cancer, OF-DIR outperformed FD-DIR in terms of JDM, NMSE,DJDE and ICE, and the difference was statistically significant(z = -2.24,-4.84, t = 4.01,6.54,P<0.05). In nasopharyngeal carcinoma, DJDE, ICE and NMSE of OF-DIR were superior to FD-DIR, and the difference was statistically significant (t = 4.46,-7.49, z = -2.22,P<0.05), but there was no significant difference in JDM (P>0.05). In lung cancer and nasopharyngeal carcinoma, JDNP of OF-DIR was worse than that of FD-DIR, and the difference was statistically significant (z = -4.29,-4.02,P<0.01). In addition, DJDE is more specific and sensitive on ROC curve (AUC=0.77), and has different performance result for tumor images at different sites. Conclusions The JDM and DJDE evaluation metrics proposed are effective for deformation registration algorithms. OF-DIR is suitable for both lung cancer and nasopharyngeal carcinoma, while the influence of organ motion on the registration effect should be considered when using FD-DIR. |
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