Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963171838> ?p ?o ?g. }
Showing items 1 to 72 of
72
with 100 items per page.
- W2963171838 endingPage "1388" @default.
- W2963171838 startingPage "1367" @default.
- W2963171838 abstract "Magnetic resonance elastography (MRE) is a powerful technique for noninvasive determination of the biomechanical properties of tissue, with important applications in disease diagnosis. A typical experimental scenario is to induce waves in the tissue by time-harmonic external mechanical oscillation and then measure the tissue's displacement at fixed spatial positions eight times during a complete time-period, extracting the dominant frequency signal from the discrete Fourier transform in time. Accurate reconstruction of the tissue's elastic moduli from MRE data is a challenging inverse problem, and we derive and analyze two new methods which address different aspects. The first of these concerns the time signal: using only the dominant frequcency component loses information for noisy data and typically gives a complex value for the (real) shear modulus, which is then hard to interpret. Our new reconstruction method is based on the Fourier time-interpolant of the displacement: it uses all the measured information and automatically gives a real value of shear modulus up to rounding error. This derivation is for homogeneous materials, and our second new method (stacked frequency wave inversion, SFWI) concerns the inhomogeneous shear modulus in the time-harmonic case. The underlying problem is ill-conditioned because the coefficient of the shear modulus in the governing equations can be zero or small, and the SFWI approach overcomes this by combining approximations at different frequencies into a single overdetermined matrix--vector equation. Careful numerical tests confirm that both of these new algorithms perform well." @default.
- W2963171838 created "2019-07-30" @default.
- W2963171838 creator A5007935196 @default.
- W2963171838 creator A5045427447 @default.
- W2963171838 creator A5066508060 @default.
- W2963171838 date "2019-01-01" @default.
- W2963171838 modified "2023-10-01" @default.
- W2963171838 title "The MRE Inverse Problem for the Elastic Shear Modulus" @default.
- W2963171838 cites W1654440475 @default.
- W2963171838 cites W1969583173 @default.
- W2963171838 cites W1991383654 @default.
- W2963171838 cites W1993277224 @default.
- W2963171838 cites W1999496083 @default.
- W2963171838 cites W2000207402 @default.
- W2963171838 cites W2039692967 @default.
- W2963171838 cites W2083789485 @default.
- W2963171838 cites W2087205769 @default.
- W2963171838 cites W2087944072 @default.
- W2963171838 cites W2131413082 @default.
- W2963171838 cites W2304731123 @default.
- W2963171838 cites W2791679182 @default.
- W2963171838 doi "https://doi.org/10.1137/18m1201160" @default.
- W2963171838 hasPublicationYear "2019" @default.
- W2963171838 type Work @default.
- W2963171838 sameAs 2963171838 @default.
- W2963171838 citedByCount "4" @default.
- W2963171838 countsByYear W29631718382020 @default.
- W2963171838 countsByYear W29631718382022 @default.
- W2963171838 countsByYear W29631718382023 @default.
- W2963171838 crossrefType "journal-article" @default.
- W2963171838 hasAuthorship W2963171838A5007935196 @default.
- W2963171838 hasAuthorship W2963171838A5045427447 @default.
- W2963171838 hasAuthorship W2963171838A5066508060 @default.
- W2963171838 hasBestOaLocation W29631718382 @default.
- W2963171838 hasConcept C102519508 @default.
- W2963171838 hasConcept C121332964 @default.
- W2963171838 hasConcept C134306372 @default.
- W2963171838 hasConcept C135252773 @default.
- W2963171838 hasConcept C33923547 @default.
- W2963171838 hasConcept C41279357 @default.
- W2963171838 hasConcept C81901731 @default.
- W2963171838 hasConcept C97355855 @default.
- W2963171838 hasConceptScore W2963171838C102519508 @default.
- W2963171838 hasConceptScore W2963171838C121332964 @default.
- W2963171838 hasConceptScore W2963171838C134306372 @default.
- W2963171838 hasConceptScore W2963171838C135252773 @default.
- W2963171838 hasConceptScore W2963171838C33923547 @default.
- W2963171838 hasConceptScore W2963171838C41279357 @default.
- W2963171838 hasConceptScore W2963171838C81901731 @default.
- W2963171838 hasConceptScore W2963171838C97355855 @default.
- W2963171838 hasIssue "4" @default.
- W2963171838 hasLocation W29631718381 @default.
- W2963171838 hasLocation W29631718382 @default.
- W2963171838 hasOpenAccess W2963171838 @default.
- W2963171838 hasPrimaryLocation W29631718381 @default.
- W2963171838 hasRelatedWork W1978702318 @default.
- W2963171838 hasRelatedWork W2029616618 @default.
- W2963171838 hasRelatedWork W2974189027 @default.
- W2963171838 hasRelatedWork W3093375130 @default.
- W2963171838 hasRelatedWork W4221139324 @default.
- W2963171838 hasRelatedWork W4283689758 @default.
- W2963171838 hasRelatedWork W4292209700 @default.
- W2963171838 hasRelatedWork W4309827591 @default.
- W2963171838 hasRelatedWork W4313142970 @default.
- W2963171838 hasRelatedWork W4382981541 @default.
- W2963171838 hasVolume "79" @default.
- W2963171838 isParatext "false" @default.
- W2963171838 isRetracted "false" @default.
- W2963171838 magId "2963171838" @default.
- W2963171838 workType "article" @default.