Event cameras report asynchronous polarity events when changes in log--radiance exceed a fixed contrast threshold, producing signed temporal contrast measurements rather than conventional image frames. We formulate monocular event-based imaging as a synthetic-aperture inverse problem for a static ground-domain log--radiance field
θ∈RNg. Instead of reconstructing a latent pixel-time volume
v∈RNpNt, we impose the geometric relation
v=Pθ, where
P maps the fixed scene into motion-dependent latent views. Aggregating events over finite time intervals gives the linearized model
APθ=b+η,
where
A is a temporal differencing operator,
b contains signed binned event counts, and
η represents measurement and modeling errors. This decomposition exposes a synthetic-aperture structure: under near-nadir motion, successive projections are approximately shifted views of a common scene, while the composite operator
AP remains ill-conditioned because it combines spatial averaging with temporal differencing. We therefore use regularized inversion to recover
θ. Numerical experiments on simulated data and real near-nadir Falcon Neuro event data show that the proposed
θ-based formulation recovers coherent large-scale spatial structure, relative to dynamic latent-image and learned event-reconstruction baselines, while suppressing fine-scale texture.