Tensor Manipulation

We explore new algorithms for computer vision based on multilinear algebra. Firstly, we learn the expression subspace and person subspace from a corpus of images based on Higher-Order Singular Value Decomposition (HOSVD), and investigate their applications in facial expression synthesis, face recognition and facial expression recognition. Secondly, we explore new algorithms for image ensembles/video representation and recognition using tensor rank-one decomposition and tensor rank-R approximation.

Facial Expression Decomposition

New algorithms for facial image analysis based on multilinear algebra. We learn the expression subspace and person subspace from a corpus of images based on Higher-Order Singular Value Decomposition, and investigate their applications in facial expression synthesis, face recognition and facial expression recognition.

• H. Wang and N. Ahuja, Facial Expression Decomposition, International Conference on Computer Vision, Nice, France, October 2003, 958-965.