14 September 1993 Computation of motion using generalized moment transformations
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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.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Robert A. Close, Shinichi Tamura, Hiroaki Naito, Koushi Harada, Takahiro Kozuka, "Computation of motion using generalized moment transformations", Proc. SPIE 1898, Medical Imaging 1993: Image Processing, (14 September 1993); doi: 10.1117/12.154512; https://doi.org/10.1117/12.154512
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