Two-dimensional shape representation using morphological correlation functions
Why this work is in the frame
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Bibliographic record
Abstract
A new descriptor for representing two-dimensional continuous or discrete signals is introduced. The proposed shape descriptor, which is called the geometrical correlation function (GCF), is based on the principle of mathematical morphology. The properties of this shape descriptor are examined. It is shown that the family of GCFs associated with different orientations of a particular shape is translation, scale, and rotation invariant. Geometrical properties such as the area and perimeter of the shape can be derived from the GCF family. The utilization of the GCFs for shape recognition is considered. The GCF family can be computed using the associated morphological correlator which is composed of m parallel computation units and a feature-function selection unit where a small subset of the GCF family is selected for classification. It is shown that with a suitable criterion for selecting the feature function, promising results for successful classification are obtained.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Full frame distilled prediction
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 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 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