  Correlation filters take advantage of specific properties in the Fourier
domain allowing them to be estimated efficiently: O(NDlogD) in the frequency
domain, versus O(D^3 + ND^2) spatially where D is signal length, and N is the
number of signals. Recent extensions to correlation filters, such as MOSSE,
have reignited interest of their use in the vision community due to their
robustness and attractive computational properties. In this paper we
demonstrate, however, that this computational efficiency comes at a cost.
Specifically, we demonstrate that only 1/D proportion of shifted examples are
unaffected by boundary effects which has a dramatic effect on
detection/tracking performance. In this paper, we propose a novel approach to
correlation filter estimation that: (i) takes advantage of inherent
computational redundancies in the frequency domain, and (ii) dramatically
reduces boundary effects. Impressive object tracking and detection results are
presented in terms of both accuracy and computational efficiency.
