Quantum-inspired Topographic Stereovision

Abstract

We challenge the long-unquestioned triangulation in distant stereovision, where shape rather than distance is the relevant observable. Our information-regret analysis reveals that the optimal measurements for absolute distance and distance gradient are unexpectedly different and incompatible. To resolve this observable-measurement mismatch, we introduce stereo regularization to address stereo anisotropies that violate prevailing emitter-number conservation, and propose the topographic interferometer, which exploits cross-detector correlations to probe topography without measuring the distance profile. Our interferometer turns parallaxing paths into Mach-Zehnder arms and incorporates a central path as the local oscillator for balanced homodyne detection, saturating the quantum Fisher information with improved topographic error scaling. Our work enables topographic stereovision of thermal sources beyond the Rayleigh limit, thereby establishing a quantum-inspired framework for heat-assisted detection and ranging in remote sensing and astronomy.