4,748 research outputs found
Simultaneous Facial Landmark Detection, Pose and Deformation Estimation under Facial Occlusion
Facial landmark detection, head pose estimation, and facial deformation
analysis are typical facial behavior analysis tasks in computer vision. The
existing methods usually perform each task independently and sequentially,
ignoring their interactions. To tackle this problem, we propose a unified
framework for simultaneous facial landmark detection, head pose estimation, and
facial deformation analysis, and the proposed model is robust to facial
occlusion. Following a cascade procedure augmented with model-based head pose
estimation, we iteratively update the facial landmark locations, facial
occlusion, head pose and facial de- formation until convergence. The
experimental results on benchmark databases demonstrate the effectiveness of
the proposed method for simultaneous facial landmark detection, head pose and
facial deformation estimation, even if the images are under facial occlusion.Comment: International Conference on Computer Vision and Pattern Recognition,
201
Most robust and fragile two-qubit entangled states under depolarizing channels
For a two-qubit system under local depolarizing channels, the most robust and
most fragile states are derived for a given concurrence or negativity. For the
one-sided channel, the pure states are proved to be the most robust ones, with
the aid of the evolution equation for entanglement given by Konrad et al. [Nat.
Phys. 4, 99 (2008)]. Based on a generalization of the evolution equation for
entanglement, we classify the ansatz states in our investigation by the amount
of robustness, and consequently derive the most fragile states. For the
two-sided channel, the pure states are the most robust for a fixed concurrence.
Under the uniform channel, the most fragile states have the minimal negativity
when the concurrence is given in the region [1/2,1]. For a given negativity,
the most robust states are the ones with the maximal concurrence, and the most
fragile ones are the pure states with minimum of concurrence. When the
entanglement approaches zero, the most fragile states under general nonuniform
channels tend to the ones in the uniform channel. Influences on robustness by
entanglement, degree of mixture, and asymmetry between the two qubits are
discussed through numerical calculations. It turns out that the concurrence and
negativity are major factors for the robustness. When they are fixed, the
impact of the mixedness becomes obvious. In the nonuniform channels, the most
fragile states are closely correlated with the asymmetry, while the most robust
ones with the degree of mixture.Comment: 10 pages, 9 figs. to appear in Quantum Information & Computation
(QIC
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