A lens-less imaging device, includes, in part, a multitude of pixels each having a light detector and an associated optical element adapted to cause the pixel to be responsive to a different direction of light received from a target. Each pixel has a field of view that overlaps with a field of view of at least a subset of the remaining pixels. The optical element may be a transparent dielectric element, a transparent MEMS component, a transparent microlens, or include one or more metallic walls. The optical element may be a continuous mapping layer formed over the pixels. Each pixel may or may not have a Gaussian distribution response. The lens-less imaging device forms an image of a target in accordance with an optical transfer functions of the pixels as well as responses of the pixels to the light received from the target.