Focus Profile Modeling.

A focus profile depicts the image sharpness (or focus value) as the lens sweeps along the optical axis of a camera. Accurate modeling of the focus profile is important to many imaging tasks. In this paper, we present an approach to focus profile modeling that makes the search of in-focus lens position a mathematically tractable problem, and hereby improves the efficiency and accuracy of image acquisition. The proposed approach entails a transformation that converts the representation of a focus profile to quadratic form. An important feature of the approach is that no prior knowledge of the focus measurement technique is required. Experimental results are provided to demonstrate the effectiveness of the approach.

Reciprocal focus profile.

A focus profile having a steeper peak is more resistant to image noise in the autofocus (AF) process of a digital camera. However, a focus profile of such shape normally has a flatter out-of-focus region on either side of the profile, resulting in a slow AF process due to the lack of clue about where the lens should move when the lens is in such regions. To address the problem, we provide a statistical analysis of the focus profile and show that a strictly monotonic transformation of the focus profile preserves the accuracy of the AF. On the basis of this analysis, we propose a new focus profile representation that transforms the focus profile to the reciprocal domain in which the reciprocal focus profile is modeled by a polynomial function. This transformation makes the AF mathematically tractable and boosts the search speed. Experimental results are shown to demonstrate the advantage of the proposed representation.