Acquisition of translational motion by the parallel trinocular
Information Sciences: an International Journal
Derivation of qualitative information in motion analysis
Image and Vision Computing
Analytical results on error sensitivity of motion estimation from two views
Image and Vision Computing
Recursive estimation of time-varying motion and structure parameters
Pattern Recognition
3-D motion estimation by integrating visual cues in 2-D multi-modal opti-acoustic stereo sequences
Computer Vision and Image Understanding
Estimation of F-Matrix and image rectification by double quaternion
Information Sciences: an International Journal
Dense versus Sparse Approaches for Estimating the Fundamental Matrix
International Journal of Computer Vision
Visual motion ambiguities of a plane in 2-D FS sonar motion sequences
Computer Vision and Image Understanding
Identification of a moving object's velocity with a fixed camera
Automatica (Journal of IFAC)
Image deformations are better than optical flow
Mathematical and Computer Modelling: An International Journal
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Two main results are established in this paper. First, we show that seven point correspondences are sufficient to uniquely determine from two perspective views the three-dimensional motion parameters (within a scale factor for the translations) of a rigid object with curved surfaces. The seven points should not be traversed by two planes with one plane containing the origin, nor by a cone containing the origin. Second, a set of ``essential parameters'' are introduced which uniquely determine the motion parameters up to a scale factor for the translations, and can be estimated by solving a set of linear equations which are derived from the correspondences of eight image points. The actual motion parameters can subsequently be determined by computing the singular value decomposition (SVD) of a 3脳3 matrix containing the essential parameters.