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QUASIM. Qua ntitative s onographic i maging of human hard tissue by m athematical modelling of scanning acoustic microscopy data . Prof. Dr. R.Sader Prof.Dr.M.Grote Ph.Dr. L.Beilina. Main objectives. Development of quantitative sonographic imaging by mathematical modelling Testing

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slide1

QUASIM

Quantitative sonographic imaging of human hard tissue by mathematical modelling of scanning acoustic microscopy data

Prof. Dr. R.Sader

Prof.Dr.M.Grote

Ph.Dr. L.Beilina

main objectives
Main objectives
  • Development of quantitative sonographic imaging by mathematical modelling
  • Testing
  • Clinical application of ultrasound diagnostics
ksi kr mer scientific instruments gmbh
KSI – Krämer Scientific Instruments GmbH
  • Is a private company located in Herborn, Germany
  • Established in 1990
  • Provide support and development for the high technology Scanning Acoustic Microscopy (SAM)
  • Main directions are research, nondestructive testing and the process control industry

___________________________________

www.ksi-germany.com

ksi winsam 2000 scanning acoustic microscope
KSI WINSAM 2000Scanning Acoustic Microscope

transmitter

receiver

acoustic lens

transducer

Coupling fluid

(water)

sample

ksi winsam 2000
KSI WINSAM 2000

Scan field

300 X 300

mm

Scanning Acoustic Microscope

Production and failure analysis

Repeated information

Detailed information

Shows processing and

in-service defects

slide6

Mathematical Model ofScanning Acoustic Microscope

G 1

transmitter

receiver

acoustic lens

transducer

C 0

Coupling fluid

(water)

G 2

G 2

C(x)

sample

G 2

computational algorithm
Computational Algorithm

Solve

forward problem

Initial guess

c=c0

Solve

adjoint problem

Compute gradient

and new ch

no

If gradient > eps

yes

stop

adaptive algorithm
Adaptive Algorithm

Initial guess

c=c0

Solve

forward problem on Kh, Tk

Initial mesh K0

Construct new

time partition Tk

Solve

adjoint problem on Kh, Tk

Initial

time partition T0

Construct new

mesh Kh

Compute gradient

and new ch

no

If gradient

decreases

yes

Residuals > tol

refine elements

no

yes

stop

solution of the forward problem
Solution of the forward problem

c=0.5 inside a spherical inclusion and c=1.0 everywhere else in the domain. Isosurfaces of the computed solution are shown at different times.

solution of the forward problem17
Solution of the forward problem

Solution of the forward problem with exact value of the parameter c=0.5 inside a spherical inclusion and c=1.0 everywhere else in the computational domain. We show isosurfaces of the computed solution at different times.

reconstructed parameter
Reconstructed parameter

26133 nodes, c = 0.531

33138 nodes, c=0.51

22528 nodes, c =0.66

Reconstructed parameter c(x) on different adaptively refined meshes. Isosurfaces of the parameter field c(x) indicating domains with a given parameter value are shown.