On the Design of a Class of Odd-Length Biorthogonal Wavelet Filter Banks for Signal and Image Processing
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Bibliographic record
Abstract
In this paper, we introduce an approach to the design of odd-length biorthogonal wavelet filter banks based on semidefinite programming employing Bernstein polynomials. The method is systematic and renders a simple optimization problem, yet it offers wavelet filters ranging from maximally flat to maximal passband/stopband width. The odd-length biorthogonal filter pairs are then used in multi-focus imaging to obtain a fully-focused image from a set of registered semi-focused input images at varying focus employing the distance transform and exponentially decaying function on the subbands in wavelet domain. Various images are tested and experimental results compare favorably to recent results in literature.
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Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it