Motion Analysis and Image Sequence Processing 1993
DOI: 10.1007/978-1-4615-3236-1_14
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3-D Median Structures for Image Sequence Filtering and Coding

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Cited by 8 publications
(6 citation statements)
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“…Note that the spatial and temporal separability assumption conveyed through (9) suggests that the general form of a decorrelation matrix is (11) where is the temporal decorrelation (or transform) matrix. The following theorem provides the unique transform matrix which can decorrelate (8) into 2-D matrix-vector equations.…”
Section: Decorrelation Of a Group Of Framesmentioning
confidence: 99%
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“…Note that the spatial and temporal separability assumption conveyed through (9) suggests that the general form of a decorrelation matrix is (11) where is the temporal decorrelation (or transform) matrix. The following theorem provides the unique transform matrix which can decorrelate (8) into 2-D matrix-vector equations.…”
Section: Decorrelation Of a Group Of Framesmentioning
confidence: 99%
“…404-405]. The separability assumption on the correlation function is equivalently representable in Kronecker product form (9) where and are, respectively, the temporal and spatial covariance matrices of the original GOF. A motioncompensated GOF is usually more stationary along the temporal direction than spatial ones as described in the previous section.…”
Section: Decorrelation Of a Group Of Framesmentioning
confidence: 99%
“…However, the time-varying images or image sequences can be considered as spatiotemporal data [1], that is, a time sequence of two-dimensional (2D) images. The fact that the third dimension, that is, time is included increases computing complexity and time processing.…”
Section: Introductionmentioning
confidence: 99%
“…One-dimensional filters remove noise without impairing the spatial resolution in stationary areas. In the case of large motion, the performance of temporal filters is insufficient [1,2,3] and the temporal filtering must be connected with motion compensation [4] so as to filter objects along their motion trajectory. However, this way is very computationally complex, and because of spatial warping and scene changes, the motion compensation often does not work well.…”
Section: Introductionmentioning
confidence: 99%
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