Writing study: A second-order theory of texture for depth from focus
← ECCV 2026 oral writing corpus
Sreekar Ranganathan, Ioannis Gkioulekas · Official ECCV 2026 oral record
Figure, table and section ledger
Editorial contribution type: Theory & formal analysis (primary).
Layout extraction, not a required paper template. Counts are distinct caption labels; a multi-panel figure counts once. Section spans are estimated from heading positions, including floats and whitespace. Method and limitations.
- Canonical PDF
- 20 physical pages
- Before references / appendix
- ≈ 14.79 page-equivalents
- Main figures / tables
- 13 / 0
- Attached appendix figures / tables
- 0 / 0
- Attached appendix span
- No boundary detected; not assumed zero
Extraction notes: No attached appendix boundary detected. Zero means no recognized caption, not independently verified absence.
Source-bound correction: All top-level main headings and the reference boundary checked against source PDF text; source-bound positions use physical single-column y/page-height, not a two-column reading-order surrogate. Running page-number/author titles, affiliations, numbered contribution bullets, footnotes and bibliography continuations are excluded. This linked manuscript contains no appended supplementary section; separate supplement links were not scanned. Selected disputed heading locations also checked in rendered source pages. Missing split/side-wrapped caption labels restored after rendered-page inspection.
Section-by-section lengths and source pages
The title/abstract/front matter precede the first numbered heading. A span ends at the next detected top-level heading, not at the last sentence; end-page whitespace is included. References and statements are listed separately. These are not measurements of text-only or artwork area.
| Top-level heading | Starts on PDF page | Estimated span | Share of entire PDF |
|---|---|---|---|
| 1 Introduction | 1 | ≈ 1.29 pp. | 6.45% |
| 2 Related work | 2 | ≈ 1.38 pp. | 6.9% |
| 3 Depth from focus & recoverability conditions | 4 | ≈ 2.22 pp. | 11.1% |
| 4 A second-order theory of texture | 6 | ≈ 4.82 pp. | 24.1% |
| 5 Recoverability with second-order texture | 11 | ≈ 1.34 pp. | 6.7% |
| 6 Experiments & limitations | 12 | ≈ 2.2 pp. | 11% |
| 7 Conclusion | 14 | ≈ 0.98 pp. | 4.9% |
| Acknowledgements | 15 | ≈ 0.08 pp. | 0.4% |
| References | 15 | ≈ 5.21 pp. | 26.05% |
All detected figure and table locations
Main text
Attached appendix
No recognized caption labels.
Argument and organization
- 1 Introduction; 2 Related work; 3 Depth from focus and recoverability
Starts from the apparent impossibility of recovering textureless scenes, then qualifies texture at different statistical orders instead of promising a universally stronger estimator.
- 4 A second-order theory of texture; 5 Recoverability with second-order texture
Defines recoverability and sensor noise before deriving texture statistics; the optical theory is then substituted back into a recoverability condition and tested physically.
- 6 Experiments and limitations; 7 Conclusion
Experiments vary spectral bandwidth, exposure and patch size, matching the theory's named factors; indoor and outdoor examples distinguish settings rather than one headline score.
Problem, claim and contribution
Starts from the apparent impossibility of recovering textureless scenes, then qualifies texture at different statistical orders instead of promising a universally stronger estimator.
Abstract and Sections 1–2, pp.1–3 · Main paper
Argument and section order
Defines recoverability and sensor noise before deriving texture statistics; the optical theory is then substituted back into a recoverability condition and tested physically.
Sections 3–6, pp.4–14 · Main paper
Figures, captions and visual explanation
A boxed proposition identifies texture, SNR and patch-size terms with coordinated highlighting. A later panel combines filtered images, texture crops, focus curves and depth maps.
Proposition 2, p.5; Figure 8, p.12 · Main paper
Tables, comparisons and evidence
Experiments vary spectral bandwidth, exposure and patch size, matching the theory's named factors; indoor and outdoor examples distinguish settings rather than one headline score.
Figures 8,10,12 and Section 6, pp.12–14 · Main paper
Appendix and reproducibility
Proofs and roughness assumptions are explicitly placed in supplemental material; the main text preserves the propositions and explains their variables. The supplement itself was not inspected.
Section 1, p.2; Proposition 2, p.5; Section 4.1, p.7 · Main paper
Clarity and writing conventions
Question-led framing is followed by formal definitions and interpretable equation terms, while a dedicated limitations paragraph names translucent surfaces and broad illumination.
Section 1, p.1; Section 3, pp.4–5; Limitations, p.14 · Main paper
What to reuse—and what not to infer
Transferable lesson: Translate each theorem factor into an experimental axis and attach plain-language labels to the equation without removing assumptions.
Boundary: Improvement under narrowband filtering is conditional on surface and illumination properties; do not turn accepted-paper examples into a universal recovery claim.
Apply this lesson using the argument and evidence worksheet.
Inspection record and sources
- Checked
- 2026-10-02
- Reading status
- Writing-focused manuscript scan + selected visuals inspected
- Main text
- Writing-oriented scan across the manuscript main argument, physical PDF pp.1–15: framing and section roadmaps, method/argument explanations, figure and table captions, comparison protocols, conclusions and limitations. Selected full-page rasters were inspected. This is not exhaustive line-by-line technical reading, proof verification or experimental reproduction.
- Appendix / supplement
- Main-manuscript pointers to appendix/supplement and the reference boundary were checked. Separate supplementary PDFs were not retrieved or inspected; their contents are not included in inspected-page counts.
- Visually inspected PDF pages
- 5, 12
This is a writing-focused scan of the manuscript and the stated supplementary scope: framing, organization, visual explanation, evidence presentation and wording. It is not a line-by-line proof audit, reproduction of results or exhaustive scientific review.