Advantage of topological texture measures derived from Minkowski functionals (MF) and scaling index method (SIM) in comparison with biomechanical finite elements method (FEM) for the prediction of osteoporosis

2010 ◽  
Author(s):  
Irina Sidorenko ◽  
Jan Bauer ◽  
Roberto Monetti ◽  
Dirk Mueller ◽  
Ernst Rummeny ◽  
...  
Keyword(s):  
Finite Elements ◽  
Finite Elements Method ◽  
Index Method ◽  
Minkowski Functionals ◽  
Scaling Index ◽  
Scaling Index Method

scholarly journals Search for Non-Gaussianities in the WMAP Data with the Scaling Index Method

2011 ◽  
Vol 2011 ◽  
pp. 1-21 ◽  
Author(s):  
G. Rossmanith ◽  
H. Modest ◽  
C. Räth ◽  
A. J. Banday ◽  
K. M. Górski ◽  
...  
Keyword(s):  
Structural Characteristics ◽  
Microwave Background ◽  
Index Method ◽  
Data Set ◽  
Local Type ◽  
Statistical Measures ◽  
Wmap Data ◽  
Statistical Isotropy ◽  
Scaling Index ◽  
Scaling Index Method

In the recent years, non-Gaussianity and statistical isotropy of the Cosmic Microwave Background (CMB) was investigated with various statistical measures, first and foremost by means of the measurements of the WMAP satellite. In this paper, we focus on the analyses that were accomplished with a measure of local type, the so-calledScaling Index Method(SIM). The SIM is able to detect structural characteristics of a given data set and has proven to be highly valuable in CMB analysis. It was used for comparing the data set with simulations as well as surrogates, which are full-sky maps generated by randomisation of previously selected features of the original map. During these investigations, strong evidence for non-Gaussianities as well as asymmetries and local features could be detected. In combination with the surrogates approach, the SIM detected the highest significances for non-Gaussianity to date.

Scaling-index method as an image processing tool in scanning-probe microscopy

2001 ◽  
Vol 86 (1-2) ◽  
pp. 241-246 ◽  
Author(s):  
F Jamitzky ◽  
R.W Stark ◽  
W Bunk ◽  
S Thalhammer ◽  
C Räth ◽  
...  
Keyword(s):  
Image Processing ◽  
Scanning Probe Microscopy ◽  
Scanning Probe ◽  
Index Method ◽  
Probe Microscopy ◽  
Scaling Index ◽  
Scaling Index Method

Scaling index method: a novel nonlinear technique for the analysis of high-resolution MRI of human bones

2003 ◽  
Author(s):  
Roberto A. Monetti ◽  
Holger Bohm ◽  
Dirk Muller ◽  
David Newitt ◽  
Sharmila Majumdar ◽  
...  
Keyword(s):  
High Resolution ◽  
Index Method ◽  
Human Bones ◽  
High Resolution Mri ◽  
Nonlinear Technique ◽  
Scaling Index ◽  
Scaling Index Method

scholarly journals Finite element modeling of multiple density materials of bone specimens for biomechanical behavior evaluation

2021 ◽  
Vol 3 (9) ◽  
Author(s):  
Sebastián Irarrázaval ◽  
Jorge Andrés Ramos-Grez ◽  
Luis Ignacio Pérez ◽  
Pablo Besa ◽  
Angélica Ibáñez
Keyword(s):  
Finite Elements ◽  
Computational Models ◽  
Reaction Force ◽  
Elastic Stiffness ◽  
Finite Elements Method ◽  
Mechanical Resistance ◽  
Assessment Procedure ◽  
Axial Tomography ◽  
Biomechanical Behavior ◽  
Ct Data

AbstractThe finite elements method allied with the computerized axial tomography (CT) is a mathematical modeling technique that allows constructing computational models for bone specimens from CT data. The objective of this work was to compare the experimental biomechanical behavior by three-point bending tests of porcine femur specimens with different types of computational models generated through the finite elements’ method and a multiple density materials assignation scheme. Using five femur specimens, 25 scenarios were created with differing quantities of materials. This latter was applied to computational models and in bone specimens subjected to failure. Among the three main highlights found, first, the results evidenced high precision in predicting experimental reaction force versus displacement in the models with larger number of assigned materials, with maximal results being an R2 of 0.99 and a minimum root-mean-square error of 3.29%. Secondly, measured and computed elastic stiffness values follow same trend with regard to specimen mass, and the latter underestimates stiffness values a 6% in average. Third and final highlight, this model can precisely and non-invasively assess bone tissue mechanical resistance based on subject-specific CT data, particularly if specimen deformation values at fracture are considered as part of the assessment procedure.

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