TeXIR: Reliability- and Integrability-Aware Structure Image Fusion

Visible and infrared image fusion involves two fundamental decisions: what information to preserve and how that information should appear in the output. Most existing methods map the two modalities directly to a fused image, coupling information selection with image formation. We introduce TeXIR, which breaks this coupling by first constructing an explicit TeX-inspired scene state. TeXIR builds this state according to state-specific Reliability and, for structure, enforces Integrability so that locally reliable contributions form a globally coherent representation. Once the scene state is fixed, a separate readout controls its visual presentation without revisiting the fusion decision. The same fused state can therefore support different appearance conditions while preserving the underlying scene content. Experiments on FMB, MSRS, and RoadScene show that TeXIR preserves complementary source information while achieving strong perceptual quality across diverse scenes. Different readouts further exhibit the intended separation between source fidelity and visual presentation from the same fused state. TeXIR thus formulates visible and infrared image fusion as reliable scene state construction followed by controllable image formation. Code will be made publicly available.