Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1169.35393
Moireau, Philippe; Chapelle, Dominique; Le Tallec, Patrick
Filtering for distributed mechanical systems using position measurements: perspectives in medical imaging. (English)
[J] Inverse Probl. 25, No. 3, Article ID 035010, 25 p. (2009). ISSN 0266-5611

Summary: We propose an effective filtering methodology designed to perform estimation in a distributed mechanical system using position measurements. As in a previously introduced method, the filter is inspired by robust control feedback, but here we take full advantage of the estimation specificity to choose a feedback law that can act on displacements instead of velocities and still retain the same kind of dissipativity property which guarantees robustness. This is very valuable in many applications for which positions are more readily available than velocities, as in medical imaging. We provide an in-depth analysis of the proposed procedure, as well as detailed numerical assessments using a test problem inspired by cardiac biomechanics, as medical diagnosis assistance is an important perspective for this approach. The method is formulated first for measurements based on Lagrangian displacements, but we then derive a nonlinear extension allowing us to consider instead segmented images, which of course is even more relevant in medical applications.

MSC 2000:: *35R30 Inverse problems for PDE
93B52 Feedback control
92C55 Tomography

Keywords: filtering; robust control feedback; cardiac biomechanics; Lagrangian displacements

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]