Spatial regularization applied to factor analysis of medical image sequences (FAMIS).

Dynamic image sequences allow physiological mechanisms to be monitored after the injection of a tracer. Factor analysis of medical image sequences (FAMIS) hence creates a synthesis of the information in one image sequence. It estimates a limited number of structures (factor images) assuming that the tracer kinetics (factors) are similar at each point inside the structure. A spatial regularization method for computing factor images (REG-FAMIS) is proposed to remove irregularities due to noise in the original data while preserving discontinuities between structures. REG-FAMIS has been applied to two sets of simulations: (a) dynamic data with Gaussian noise and (b) dynamic studies in emission tomography (PET or SPECT), which respect real tomographic acquisition parameters and noise characteristics. Optimal regularization parameters are estimated in order to minimize the distance between reference images and regularized factor images. Compared with conventional factor images, the root mean square error between regularized images and reference factor images is improved by 3 for the first set of simulations, and by about 1.5 for the second set of simulations. In all cases, regularized factor images are qualitatively and quantitatively improved.

[1]  D. Barber The use of principal components in the quantitative analysis of gamma camera dynamic studies. , 1980, Physics in medicine and biology.

[2]  M Sámal,et al.  Rotation to simple structure in factor analysis of dynamic radionuclide studies. , 1987, Physics in medicine and biology.

[3]  M. Walsh,et al.  Noninvasive quantitation of myocardial blood flow in human subjects with oxygen-15-labeled water and positron emission tomography. , 1989, Journal of the American College of Cardiology.

[4]  J. P. Bazin,et al.  Handling of Dynamic Sequences in Nuclear Medicine , 1982, IEEE Transactions on Nuclear Science.

[5]  I. Buvat,et al.  A statistical model for the determination of the optimal metric in factor analysis of medical image sequences (FAMIS) , 1993 .

[6]  D C Barber,et al.  Factor analysis of dynamic function studies using a priori physiological information. , 1986, Physics in medicine and biology.

[7]  Demetri Terzopoulos,et al.  Regularization of Inverse Visual Problems Involving Discontinuities , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  A A Lammertsma,et al.  Linear dimension reduction of sequences of medical images: III. Factor analysis in signal space. , 1996, Physics in medicine and biology.

[9]  I Buvat,et al.  Target apex-seeking in factor analysis of medical image sequences. , 1993, Physics in medicine and biology.

[10]  A. Houston,et al.  A quantitative comparison of some FADS methods in renal dynamic studies using simulated and phantom data. , 1997, Physics in medicine and biology.

[11]  I Buvat,et al.  Statistical distribution of factors and factor images in factor analysis of medical image sequences. , 1998, Physics in medicine and biology.

[12]  A. S. Houston,et al.  THE USE OF CLUSTER ANALYSIS AND CONSTRAINED OPTIMISATION TECHNIQUES IN FACTOR ANALYSIS OF DYNAMIC STRUCTURES , 1988 .

[13]  M E Phelps,et al.  Quantification of myocardial blood flow using dynamic nitrogen-13-ammonia PET studies and factor analysis of dynamic structures. , 1995, Journal of nuclear medicine : official publication, Society of Nuclear Medicine.

[14]  D. M. Titterington,et al.  A Study of Methods of Choosing the Smoothing Parameter in Image Restoration by Regularization , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  Tomaso Poggio,et al.  Computational vision and regularization theory , 1985, Nature.

[16]  D. C. Barber,et al.  The Importance of Constraints in Factor Analysis of Dynamic Studies , 1988 .

[17]  Helmar Bergmann,et al.  Relative renal uptake and transit time measurements using functional factor images and fuzzy regions of interest , 1997, European Journal of Nuclear Medicine.