scholarly journals A pseudoinverse deformation vector field generator and its applications

2010 ◽  
Vol 37 (3) ◽  
pp. 1117-1128 ◽  
Author(s):  
C. Yan ◽  
H. Zhong ◽  
M. Murphy ◽  
E. Weiss ◽  
J. V. Siebers
Keyword(s):  
Vector Field ◽  
Deformation Vector Field

scholarly journals idvf: Iterative Inversion of Deformation Vector Field with Adaptive Bi-residual Feedback Control

2019 ◽  
Vol 4 (35) ◽  
pp. 1076
Author(s):  
Alexandros-Stavros Iliopoulos ◽  
Abhishek Dubey ◽  
Xiaobai Sun
Keyword(s):  
Vector Field ◽  
Feedback Control ◽  
Iterative Inversion ◽  
Deformation Vector Field

U‐net‐based deformation vector field estimation for motion‐compensated 4D‐CBCT reconstruction

2020 ◽  
Vol 47 (7) ◽  
pp. 3000-3012 ◽  
Author(s):  
Xiaokun Huang ◽  
You Zhang ◽  
Liyuan Chen ◽  
Jing Wang
Keyword(s):  
Vector Field ◽  
Field Estimation ◽  
Deformation Vector Field

Volumetric Measurements of Brain Shift Using Intraoperative Cone-Beam Computed Tomography: Preliminary Study

2015 ◽  
Vol 12 (1) ◽  
pp. 4-13 ◽  
Author(s):  
Vitor Mendes Pereira ◽  
Iris Smit-Ockeloen ◽  
Olivier Brina ◽  
Drazenko Babic ◽  
Marcel Breeuwer ◽  
...  
Keyword(s):  
Computed Tomography ◽  
Vector Field ◽  
Cone Beam Computed Tomography ◽  
Vector Fields ◽  
Preoperative Planning ◽  
Cone Beam ◽  
Cerebrospinal Fluid Leakage ◽  
Neurosurgical Procedures ◽  
Brain Shift ◽  
Deformation Vector Field

Abstract BACKGROUND Cerebrospinal fluid leakage and ventricular compression during open surgery may lead to brain deformation called brain shift. Brain shift may affect intraoperative navigation that is based on image-based preoperative planning. Tools to correct or predict these anatomic modifications can be important to maintain precision during open guided neurosurgery. OBJECTIVE To obtain a reliable intraoperative volumetric deformation vector field describing brain shift during intracranial neurosurgical procedures. METHODS We acquired preoperative and intraoperative cone-beam computed tomography enhanced with intravenous injection of iodine contrast. These data sets were preprocessed and elastically registered to obtain the volumetric brain shift deformation vector fields. RESULTS We obtained the brain shift deformation vector field in 9 cases. The deformation fields proved to be highly nonlinear, particularly around the ventricles. Interpatient variability was considerable, with a maximum deformation ranging from 8.1 to 26.6 mm and a standard deviation ranging from 0.9 to 4.9 mm. CONCLUSION Contrast-enhanced cone-beam computed tomography provides a feasible technique for intraoperatively determining brain shift deformation vector fields. This technique can be used perioperatively to adjust preoperative planning and coregistration during neurosurgical procedures.

Mathematical Model of Flat Surface Machining Inaccuracies due to Elastic Strains of Technological System

2018 ◽  
pp. 1-14 ◽  
Author(s):  
I. I. Kravchenko
Keyword(s):  
Mathematical Model ◽  
Vector Field ◽  
Model Development ◽  
Technological System ◽  
Mutual Arrangement ◽  
Real Surface ◽  
Main Bearing ◽  
Flat Surfaces ◽  
Internal Surfaces ◽  
Elastic Strains

The paper considers the mathematical model development technique to build a vector field of the shape deviations when machining flat surfaces of shell parts on multi-operational machines under conditions of anisotropic rigidity in technological system (TS). The technological system has an anisotropic rigidity, as its elastic strains do not obey the accepted concepts, i.e. the rigidity towards the coordinate axes of the machine is the same, and they occur only towards the external force. The record shows that the diagrams of elastic strains of machine units are substantially different from the circumference. The issues to ensure the specified accuracy require that there should be mathematical models describing kinematic models and physical processes of mechanical machining under conditions of the specific TS. There are such models for external and internal surfaces of rotation [2,3], which are successfully implemented in practice. Flat surfaces (FS) of shell parts (SP) are both assembly and processing datum surfaces. Therefore, on them special stipulations are made regarding deviations of shape and mutual arrangement. The axes of the main bearing holes are coordinated with respect to them. The joints that ensure leak tightness and distributed load on the product part are closed on these surfaces. The paper deals with the analytical construction of the vector field F, which describes with appropriate approximation the real surface obtained as a result of modeling the process of machining flat surfaces (MFS) through face milling under conditions of anisotropic properties.

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