Subband image coding with three-tap pyramids (1990) [18 citations — 3 self]
Abstract:
Subband coding is an e ective means of data compression, but the quadrature mirror lters (QMF's) that are generally used have many taps, and often require many oatingpoint multiplications [1, 2]. As we have previously noted [3], it is possible to perform subband coding with extremely simple decoding lters if one is willing to encode the image with larger lters that are tailored for the task. Consider the band-splitting lter pair [1 2 1] and [-1 2-1]. These simple lters may be implemented with arithmetic shifts and additions, and thus are ideal for implementation on ordinary personal computers. In two dimensions they can be applied separably. The only problem is that the lters violate the standard QMF criteria, and therefore a di erent set of lters must be designed for the encoding process. The image vector e may be written as a weighted sum of basis vectors corresponding to shifted versions of the lters, which appears as columns in the matrix F. If the weighting coe cients form a vector p we have: e = Fp
Citations
| 73 | A filter family designed for use in quadrature mirror filter banks – Johnston - 1980 |
| 34 | Application of Quadrature Mirror Filters to Split Band Voice Coding Schemes – Esteban, Galand - 1977 |
| 17 | A lter family designed for use in quadrature mirror lter banks – Johnston - 1980 |
| 12 | Eero Simoncelli, and Rajesh Hingorani. Orthogonal pyramid transforms for image coding – Adelson - 1987 |
| 11 | Orthogonal sub-band image transforms – Simoncelli - 1988 |
| 10 | Applications of quadrature mirror lters to split band voice coding schemes – Esteban, Galand - 1977 |
