Browse > Article
http://dx.doi.org/10.6109/jkiice.2007.11.7.1341

Optical flow of heart images by image-flow conservation equation and functional expansion  

Kim, Jin-Woo (경성대학교 멀티미디어통신공학과)
Abstract
The displacement field (Optical flow) has been calculated by bottom-up approaches based on local processing. In contrast with them, in this paper, a top-down approach based on expanding in turn from the lowest order mode the whole motion in an image pair of sequential images is proposed. The intensity of medical images usually represents a quantity which is conserved during the motion. Hence sequential images are ideally related by a coordinate transformation. The displacement field can be determined from the generalized moments of the two images. The equations which transform arbitrary generalized moments from a source image to a target image are expressed as a function of the displacement field. The appareent displacement field is then computed iteratively by a projection method which utilizes the functional derivatives of the linearized moment equations. This method is demonstrated using a pair of sequential heart images. For comparative evaluation, we applied Horn and Schunck's method, a standard multigrid method, and our proposed algorithm to sequential image.
Keywords
Motion image; Optical flow; Medical image; Moment transform;
Citations & Related Records
연도 인용수 순위
  • Reference
1 B.K.P. Horn and B.G. Schunck, 'Determining optical flow,' Artif. Intell., vol. 17, pp. 185-204, 1981   DOI   ScienceOn
2 S.V. Fogel, 'The estimation of velocity vector fields from time-varying image sequences,' CVGIP: Image Understanding, vol. 53, no. 3, pp. 253-287, 1991   DOI
3 W. Enkelmann, 'Investigations of multigrid algorithms for the estimation of optical flow fields in image sequences,' Comput. Vision Graphics Image Process., vol. 42, pp. 150-177, 1988
4 D.C. YouIa and H. Webb, 'Image restoration by the method of convex projections: part l-Theory,' IEEE Trans. Med. Imag., vol. MI-I, pp. 81-94, 1982
5 R. Battiti, E. Amaldi, and C. Koch, 'Computing optical flow across multiple scales: an adaptive course-to-fme strategy,' Int. J. Comput. Vision, vol. 6, no. 2, pp. 133-145, 1991   DOI
6 J.L. Prince and E.R. McVeigh, 'Motion estimation from tagged MR image sequences,' IEEE Trans. Med. Imag., vol. 11, no. 2, pp. 238-249, 1992   DOI   ScienceOn
7 L.G. Gubin, B.T. Polyak, and E.V. Raik, 'The method fo projections for finding the common point of convex sets,' U.S.S.R. Computational Math. Math. Phys., vol. 7, no. 6, pp. 1-24, 1967
8 L.M. Bregman, 'Finding the common point of convex sets by the method of successive projection,' Dokl. Akad. Nauk SSSR, vol. 162, no. 3, pp.487-490, 1965