Applied ITT - Threshold-Locked Spectral Imager: An ITT Applied Framework for Geometry Recovery

We present the Threshold-Locked Spectral Imager — a computational framework for geometry recovery from noisy spectral signals, built on the ITT persistence and closure language of Pre-Veil Mechanics Volume I (Knight 2026). Reflected signals are treated as compressed packets carrying recoverable structural information (coordinate sub-keys k_xyz). Recovery is reformulated as a threshold-crossing problem: a reconstruction is accepted only when retention dominates loss (S_sel >= 1) and gradient, curl, and curvature closure metrics each cross minimum thresholds — corresponding to the three irreducible operators of the Collapse Genesis Stack (nabla Phi, nabla x F, nabla^2 Phi). Testing across four synthetic scene types (plane, ridges, crater, Chladni-like) at three noise levels (sigma = 0.12, 0.22, 0.32) demonstrates that threshold-controlled decoding consistently outperforms a fixed baseline decoder. At the highest noise level, the baseline gate-pass rate collapses to 0% while the threshold controller recovers feasible solutions in 75% of trials. RMSE improvement widens as noise increases (29% improvement at sigma = 0.32). The plane scene fails the gate by design — a deliberate feature exposing the framework's internal logic: the feasibility rule requires curl closure >= 0.45, but a planar surface has near-zero curl structure, causing cosine similarity to degenerate. This failure is diagnosed precisely and the regime-conditional gate fix is specified. The prototype is a falsifiable computational bridge between the ITT sub-key language and practical spectral geometry decoding. Full Python code included and reproducible.

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Publication Details

Journal
Open MIND
Published
2026-04-11
DOI
https://doi.org/10.5281/zenodo.19519555
Primary Topic
Digital Image Processing Techniques
Type
article
Field-Weighted Citation Impact
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article

Applied ITT - Threshold-Locked Spectral Imager: An ITT Applied Framework for Geometry Recovery

Armstrong Knight
Open MIND
Digital Image Processing Techniques
article

Applied ITT - Threshold-Locked Spectral Imager: An ITT Applied Framework for Geometry Recovery

Armstrong Knight
article en

Abstract

We present the Threshold-Locked Spectral Imager — a computational framework for geometry recovery from noisy spectral signals, built on the ITT persistence and closure language of Pre-Veil Mechanics Volume I (Knight 2026). Reflected signals are treated as compressed packets carrying recoverable structural information (coordinate sub-keys k_xyz). Recovery is reformulated as a threshold-crossing problem: a reconstruction is accepted only when retention dominates loss (S_sel >= 1) and gradient, curl, and curvature closure metrics each cross minimum thresholds — corresponding to the three irreducible operators of the Collapse Genesis Stack (nabla Phi, nabla x F, nabla^2 Phi). Testing across four synthetic scene types (plane, ridges, crater, Chladni-like) at three noise levels (sigma = 0.12, 0.22, 0.32) demonstrates that threshold-controlled decoding consistently outperforms a fixed baseline decoder. At the highest noise level, the baseline gate-pass rate collapses to 0% while the threshold controller recovers feasible solutions in 75% of trials. RMSE improvement widens as noise increases (29% improvement at sigma = 0.32). The plane scene fails the gate by design — a deliberate feature exposing the framework's internal logic: the feasibility rule requires curl closure >= 0.45, but a planar surface has near-zero curl structure, causing cosine similarity to degenerate. This failure is diagnosed precisely and the regime-conditional gate fix is specified. The prototype is a falsifiable computational bridge between the ITT sub-key language and practical spectral geometry decoding. Full Python code included and reproducible.

Open MIND
Laboratoire de Chimie Théorique (FR)
Openalex Percentile: Top 19%
Digital Image Processing Techniques
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Applied ITT - Threshold-Locked Spectral Imager: An ITT Applied Framework for Geometry Recovery — Armstrong Knight · Open MIND (2026) | TGRS Research Map | TGRS