An algorithm for recovering the quaternion signals in both noiseless and noise contaminated scenarios by solving an L1-norm minimization problem is presented. The L1-norm minimization problem over the quaternion numbe...An algorithm for recovering the quaternion signals in both noiseless and noise contaminated scenarios by solving an L1-norm minimization problem is presented. The L1-norm minimization problem over the quaternion number field is solved by converting it to an equivalent second-order cone programming problem over the real number field, which can be readily solved by convex optimization solvers like SeDuMi. Numerical experiments are provided to illustrate the effectiveness of the proposed algorithm. In a noiseless scenario, the experimental results show that under some practically acceptable conditions, exact signal recovery can be achieved. With additive noise contamination in measurements, the experimental results show that the proposed algorithm is robust to noise. The proposed algorithm can be applied in compressed-sensing-based signal recovery in the quaternion domain.展开更多
Women’s health is a crucial,complex,and multifaceted field,encompassing gynecological disorders,reproductive health issues,conditions influenced by hormonal differences,and serious diseases such as ovarian and cervic...Women’s health is a crucial,complex,and multifaceted field,encompassing gynecological disorders,reproductive health issues,conditions influenced by hormonal differences,and serious diseases such as ovarian and cervical cancer.Gynecologic surgery is a critical component of this field,presenting unique challenges due to the variability of anatomical lesions and patient-specific requirements.In recent years,the rapid development of information technology,particularly artificial intelligence(AI),has provided numerous opportunities to advance gynecologic surgery in clinical practice,research,and education.[1]This editorial aims to present the current status of AI applications in gynecologic surgery,discuss the technical and clinical challenges,and outline future prospects in this field.展开更多
This paper presents a new 3D edge operator based on Legendre orthogonal moments. This operator can be used to extract the edge of 3D object in any window size,with more accurate surface orientation and more precise su...This paper presents a new 3D edge operator based on Legendre orthogonal moments. This operator can be used to extract the edge of 3D object in any window size,with more accurate surface orientation and more precise surface location. It also has full geometry meaning. Process of calculation is considered in the moment based method.We can greatly speed up the computation by calculating out the masks in advance. We integrate this operator into our rendering of medical image data based on ray casting algorithm. Experimental results show that it is an effective 3D edge operator that is more accurate in position and orientation.展开更多
基金The National Basic Research Program of China(973 program)(No.2011CB707904)the National Natural Science Foundation of China(No.61073138,61271312,61201344,81101104,60911130370)+1 种基金the Research Fund for the Doctoral Program of Higher Education of Ministry of Education of China(No.20110092110023,20120092120036)the Natural Science Foundation of Jiangsu Province(No.BK2012329,BK2012743)
文摘An algorithm for recovering the quaternion signals in both noiseless and noise contaminated scenarios by solving an L1-norm minimization problem is presented. The L1-norm minimization problem over the quaternion number field is solved by converting it to an equivalent second-order cone programming problem over the real number field, which can be readily solved by convex optimization solvers like SeDuMi. Numerical experiments are provided to illustrate the effectiveness of the proposed algorithm. In a noiseless scenario, the experimental results show that under some practically acceptable conditions, exact signal recovery can be achieved. With additive noise contamination in measurements, the experimental results show that the proposed algorithm is robust to noise. The proposed algorithm can be applied in compressed-sensing-based signal recovery in the quaternion domain.
基金supported in part by Zhongda Hospital Affiliated to Southeast University,Jiangsu Province High-Level Hospital(Nos.2023GSPKY11 and GSP-LCYJFH01)in part by National clinical key discipline construction funds(No.czxm-zk-40)+1 种基金in part by National Natural Science Foundation of China(Nos.82372126 and 8207071577)in part by a grant from the ANR/RGC Joint Research Scheme sponsored by the Research Grants Council of the Hong Kong Special Administrative Region,China and the French National Research Agency(No.A-CUHK402/23).
文摘Women’s health is a crucial,complex,and multifaceted field,encompassing gynecological disorders,reproductive health issues,conditions influenced by hormonal differences,and serious diseases such as ovarian and cervical cancer.Gynecologic surgery is a critical component of this field,presenting unique challenges due to the variability of anatomical lesions and patient-specific requirements.In recent years,the rapid development of information technology,particularly artificial intelligence(AI),has provided numerous opportunities to advance gynecologic surgery in clinical practice,research,and education.[1]This editorial aims to present the current status of AI applications in gynecologic surgery,discuss the technical and clinical challenges,and outline future prospects in this field.
基金This work was supported by the National Natural Science Foundation of China(Grant No.60272045)the National Basic Research Program of China(Grant No.2003CB716102).
文摘This paper presents a new 3D edge operator based on Legendre orthogonal moments. This operator can be used to extract the edge of 3D object in any window size,with more accurate surface orientation and more precise surface location. It also has full geometry meaning. Process of calculation is considered in the moment based method.We can greatly speed up the computation by calculating out the masks in advance. We integrate this operator into our rendering of medical image data based on ray casting algorithm. Experimental results show that it is an effective 3D edge operator that is more accurate in position and orientation.
