Title
On estimating 3-D incompressible motion
Abstract
In this paper we present a new method for estimating the 3-D motion of an incompressible or nearly incompressible body from a set of noisy and possibly sparse measurements. This problem occurs in applications such as the estimation of heart motion and fluid flow. Our method is based on a stochastic motion model where the incompressibility condition is modeled as a correlation between certain components of the displacement or velocity field gradient. This model, which we call the correlation model, allows for local fluctuations in volume, and provides a framework for incorporating a priori knowledge of the directions of expansion and contraction. We derive an optimal estimate equation based on the correlation model, which under certain conditions reduces to that obtained by other authors using a regularisation approach. Computer simulations are presented that demonstrate the correlation model method.
Year
DOI
Venue
1995
10.1109/ICIP.1995.537679
ICIP (3)
Keywords
Field
DocType
correlation model,3-d incompressible motion,3-d motion,incompressible body,certain condition,new method,stochastic motion model,correlation model method,computer simulation,heart motion,certain component,stochastic processes,velocity field,a priori knowledge,application software,motion estimation,optimal estimation,parameter estimation,fluid flow,displacement field,heart
Compressibility,Displacement field,Mathematical analysis,A priori and a posteriori,Artificial intelligence,Motion estimation,Estimation theory,Geometry,Pattern recognition,Vector field,Stochastic process,Fluid dynamics,Mathematics
Conference
Volume
ISBN
Citations 
3
0-8186-7310-9
0
PageRank 
References 
Authors
0.34
1
2
Name
Order
Citations
PageRank
Thomas S. Denney Jr.1379.17
T. S.Jr200.34