θ I(x; θ) Parameters Warped Events Focus score Warping along point trajectories X [pix] Y [pix] time [s] X [pix] Y [pix] Measure event alignment Input Events θFigure 1: Motion Compensation Framework. Events in a space-time window are warped according to point trajectories described by motion parameters θ, resulting in an image of warped events (IWE) I(x; θ). Then, a focus loss function of I measures how well events are aligned along the point trajectories. This work proposes multiple focus loss functions for event alignment (last block in the figure and Table 1) for tasks such as rotational motion, depth and optical flow estimation.
AbstractEvent cameras are novel vision sensors that output pixellevel brightness changes ("events") instead of traditional video frames. These asynchronous sensors offer several advantages over traditional cameras, such as, high temporal resolution, very high dynamic range, and no motion blur. To unlock the potential of such sensors, motion compensation methods have been recently proposed. We present a collection and taxonomy of twenty two objective functions to analyze event alignment in motion compensation approaches (Fig. 1). We call them focus loss functions since they have strong connections with functions used in traditional shapefrom-focus applications. The proposed loss functions allow bringing mature computer vision tools to the realm of event cameras. We compare the accuracy and runtime performance of all loss functions on a publicly available dataset, and conclude that the variance, the gradient and the Laplacian magnitudes are among the best loss functions. The applicability of the loss functions is shown on multiple tasks: rotational motion, depth and optical flow estimation. The proposed focus loss functions allow to unlock the outstanding properties of event cameras. †