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An hybrid (multi-physics) imaging method
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Classroom Contents
Stability and Discretization Techniques for Elliptic Inverse Parameter Problems in Elastography - Application to Breast Tumor Detection
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- 1 Intro
- 2 The reduced elastography problem
- 3 Elastography from internal data
- 4 Quasi-static deformation of a phantom
- 5 Quasi-static elastography
- 6 Reconstruct the corresponding shear modulus
- 7 An hybrid (multi-physics) imaging method
- 8 Inversion step 1: recover the displacement
- 9 Inversion step 2: recover the shear modulus
- 10 Available inversion algorithms (1)
- 11 Available inversion algorithms (2)
- 12 Current chalenges for medical elastography
- 13 A general equation
- 14 The Reverse Weak Formulation
- 15 Reverse Weak Formulation discretization
- 16 Approximation of the operator
- 17 Questions
- 18 A model problem: discretization
- 19 Inf-sup constant for the operator T
- 20 Generalized inf-sup constant
- 21 Discrete inf-sup constant
- 22 Upper semi-continuity of the inf-sup constant
- 23 honeycomb finite element
- 24 Inverse gradient problem: behavior of 8(T)
- 25 Reconstruction for the honeycomb
- 26 In vivo quasistatic elastography
