A Closed-Form Solution to Non-rigid Shape and Motion Recovery

Recovery of three dimensional (3D) shape and motion of non-static scenes from a monocular video sequence is important for applications like robot navigation and human computer interaction. If every point in the scene randomly moves, it is impossible to recover the non-rigid shapes. In practice, many non-rigid objects, e.g. the human face under various expressions, deform with certain structures. Their shapes can be regarded as a weighted combination of certain shape bases. Shape and motion recovery under such situations has attracted much interest. Previous work on this problem [6, 4, 13] utilized only orthonormality constraints on the camera rotations (rotation constraints). This paper proves that using only the rotation constraints results in ambiguous and invalid solutions. The ambiguity arises from the fact that the shape bases are not unique because their linear transformation is a new set of eligible bases. To eliminate the ambiguity, we propose a set of novel constraints, basis ...

• Type: Conference
• Year: 2004
• Where: ECCV
• Authors: Jing Xiao, Jinxiang Chai, Takeo Kanade
• Keywords: Basis Constraints, Certain Shape Bases, Computer Vision, ECCV 2004, Non-rigid Shape, Rotation Constraints, Rotation Constraints Leads