Computation of motion using generalized moment transformations

Robert A. Close; Shinichi Tamura; Hiroaki Naito; Koushi Harada; Takahiro Kozuka

doi:10.1117/12.154512

14 September 1993 Computation of motion using generalized moment transformations

Robert A. Close, Shinichi Tamura, Hiroaki Naito, Koushi Harada, Takahiro Kozuka

Proceedings Volume 1898, Medical Imaging 1993: Image Processing; (1993) https://doi.org/10.1117/12.154512
Event: Medical Imaging 1993, 1993, Newport Beach, CA, United States

Abstract

The intensity of medical images often represents a quantity which is conserved during motion. Hence the motion which occurs between sequential images can be viewed as a coordinate transformation. If edge effects can be neglected, the form of the transformation can be determined from the generalized moments of the two images. The equations which transform arbitrary generalized moments from an initial image to a target image are expressed as a function of the displacement field. The apparent displacement field or optical flow is then computed by the method of convex projections, utilizing the functional derivatives of the linearized moment equations. Smoothness is ensured by using sinusoidal moments and building up the solution from low to high spatial frequencies. The technique is demonstrated using simple examples and actual medical images. It is expected that this method will be useful for analysis of heart motion and blood flow.

Citation Download Citation

Robert A. Close, Shinichi Tamura, Hiroaki Naito, Koushi Harada, and Takahiro Kozuka "Computation of motion using generalized moment transformations", Proc. SPIE 1898, Medical Imaging 1993: Image Processing, (14 September 1993); https://doi.org/10.1117/12.154512

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available