On the inverse problem of vibro-acoustography

被引：0
|
作者：
Barbara Kaltenbacher
机构：
[1] University of Klagenfurt,
来源：
Meccanica | 2023年 / 58卷
关键词：
Vibro-acoustic imaging; Inverse problem; Coefficient identification; Regularization; 35R30; 65J20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The aim of this paper is to put the problem of vibroacoustic imaging into the mathematical framework of inverse problems (more precisely, coefficient identification in PDEs) and regularization. We present a model in frequency domain, prove uniqueness of recovery of the spatially varying nonlinearity parameter from measurements of the acoustic pressure at multiple frequencies, and derive Newton as well as gradient based reconstruction methods.
引用
收藏
页码：1061 / 1072
页数：11
相关论文
共 50 条
  • [31] Implementation of Vibro-Acoustography on a Clinical Ultrasound System
    Urban, Matthew W.
    Chalek, Carl
    Kinnick, Randall R.
    Kinter, Thomas M.
    Haider, Bruno
    Greenleaf, James F.
    Thomenius, Kai E.
    Fatemi, Mostafa
    IEEE TRANSACTIONS ON ULTRASONICS FERROELECTRICS AND FREQUENCY CONTROL, 2011, 58 (06) : 1169 - 1181
  • [32] Modal analysis of a mechanical heart valve by vibro-acoustography
    Zhang, XM
    Fatemi, M
    Kinnick, RR
    Greenleaf, JF
    2003 IEEE ULTRASONICS SYMPOSIUM PROCEEDINGS, VOLS 1 AND 2, 2003, : 1392 - 1395
  • [33] Imaging mass lesions by vibro-acoustography: Modeling and experiments
    Alizad, A
    Wold, LE
    Greenleaf, JF
    Fatemi, M
    IEEE TRANSACTIONS ON MEDICAL IMAGING, 2004, 23 (09) : 1087 - 1093
  • [34] THERMAL SAFETY OF VIBRO-ACOUSTOGRAPHY USING A CONFOCAL TRANSDUCER
    Chen, Shigao
    Aquino, Wilkins
    Alizad, Azra
    Urban, Matthew W.
    Kinnick, Randall
    Greenleaf, James F.
    Fatemi, Mostafa
    ULTRASOUND IN MEDICINE AND BIOLOGY, 2010, 36 (02): : 343 - 349
  • [35] Detection of native heart valve calcification with vibro-acoustography
    Alizad, K
    Fatemi, M
    Greenleaf, JF
    CIRCULATION, 2001, 104 (17) : 354 - 354
  • [36] Breast vibro-acoustography: initial results show promise
    Azra Alizad
    Dana H Whaley
    Matthew W Urban
    Rickey E Carter
    Randall R Kinnick
    James F Greenleaf
    Mostafa Fatemi
    Breast Cancer Research, 14
  • [37] Stress field design in vibro-acoustography beam forming
    Chen, S
    Fatemi, M
    Greenleaf, JF
    2003 IEEE ULTRASONICS SYMPOSIUM PROCEEDINGS, VOLS 1 AND 2, 2003, : 1630 - 1633
  • [38] Using vibro-acoustography to detect brachytherapy metal seeds
    Mitri, FG
    Trompette, P
    Chapelon, JY
    2003 IEEE ULTRASONICS SYMPOSIUM PROCEEDINGS, VOLS 1 AND 2, 2003, : 1528 - 1531
  • [39] Linear arrays for vibro-acoustography: A numerical simulation study
    Silva, GT
    Greenleaf, JF
    Fatemi, M
    ULTRASONIC IMAGING, 2004, 26 (01) : 1 - 17
  • [40] Determination of object resonances by vibro-acoustography and their associated modes
    Mitri, FG
    Fellah, ZEA
    Closset, E
    Trompette, P
    Chapelon, JY
    ULTRASONICS, 2004, 42 (1-9) : 537 - 543
12345