Wide Pinholes and Edge Cameras

Widening the pinhole

The edge camera integrates

Why the inverse of an integrator is dangerous

The regularized inverse smooths instead

A flatland edge camera with five sensor elements sees a world row of five samples. The first sensor element gathers light from every world sample while the last gathers light from only one. Why do the rows of the imaging matrix grow shorter as you move down the matrix?

An edge camera's readings contain a single noisy reading that is too large by a small amount. The scene is recovered with the exact inverse of the imaging matrix. What does the recovered scene look like?

A flatland edge camera sees the world row $(2, 4, 6)$ and the first sensor element sums everything to its right, which is the entire row. Compute the first reading and write the number.