scholarly journals On the estimation of the medial axis and inner parallel body

2014 ◽  
Vol 129 ◽  
pp. 171-185
Author(s):  
Antonio Cuevas ◽  
Pamela Llop ◽  
Beatriz Pateiro-López
2020 ◽  
pp. 1-13
Author(s):  
Yingying Lou ◽  
Dongmeng Xi ◽  
Zhenbing Zeng

Abstract A. R. Martínez Fernández obtained upper bounds for quermassintegrals of the p-inner parallel bodies: an extension of the classical inner parallel body to the $L_p$ -Brunn-Minkowski theory. In this paper, we establish (sharp) upper and lower bounds for quermassintegrals of p-inner parallel bodies. Moreover, the sufficient and necessary conditions of the equality case for the main inequality are obtained, which characterize the so-called tangential bodies.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Ananthakrishna Thalengala ◽  
Shyamasunder N. Bhat ◽  
H. Anitha

AbstractAnalysis of scoliosis requires thorough radiographic evaluation by spinal curvature estimation to completely assess the spinal deformity. Spinal curvature estimation gives orthopaedic surgeons an idea of severity of spinal deformity for therapeutic purposes. Manual intervention has always been an issue to ensure accuracy and repeatability. Computer assisted systems are semi-automatic and is still influenced by surgeon’s expertise. Spinal curvature estimation completely relies on accurate identification of required end vertebrae like superior end-vertebra, inferior end-vertebra and apical vertebra. In the present work, automatic extraction of spinal information central sacral line and medial axis by computerized image understanding system has been proposed. The inter-observer variability in the anatomical landmark identification is quantified using Kappa statistic. The resultant Kappa value computed between proposed algorithm and observer lies in the range 0.7 and 0.9, which shows good accuracy. Identification of the required end vertebra is automated by the extracted spinal information. Difference in inter and intra-observer variability for the state of the art computer assisted and proposed system are quantified in terms of mean absolute difference for the various types (Type-I, Type-II, Type-III, Type-IV, and Type-V) of scoliosis.


Author(s):  
Charles-Olivier Dufresne Camaro ◽  
Morteza Rezanejad ◽  
Stavros Tsogkas ◽  
Kaleem Siddiqi ◽  
Sven Dickinson
Keyword(s):  

2019 ◽  
Vol 14 (11) ◽  
pp. 1955-1967
Author(s):  
Sharmin Sultana ◽  
Praful Agrawal ◽  
Shireen Elhabian ◽  
Ross Whitaker ◽  
Jason E. Blatt ◽  
...  

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