Performance of optical flow techniques
International Journal of Computer Vision
Digital video processing
Robust Reweighted MAP Motion Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient Region Tracking With Parametric Models of Geometry and Illumination
IEEE Transactions on Pattern Analysis and Machine Intelligence
Model-Based Brightness Constraints: On Direct Estimation of Structure and Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mosaicing on Adaptive Manifolds
IEEE Transactions on Pattern Analysis and Machine Intelligence
Q-Warping: Direct Computation of Quadratic Reference Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Hierarchical Model-Based Motion Estimation
ECCV '92 Proceedings of the Second European Conference on Computer Vision
EigenTracking: Robust Matching and Tracking of Articulated Objects Using a View-Based Representation
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Variational Space-Time Motion Segmentation
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
IEEE Transactions on Pattern Analysis and Machine Intelligence
Convex Optimization
Video Mosaics for Virtual Environments
IEEE Computer Graphics and Applications
Wide-baseline multiple-view correspondences
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
An FFT-based technique for translation, rotation, and scale-invariant image registration
IEEE Transactions on Image Processing
Efficient, robust, and fast global motion estimation for video coding
IEEE Transactions on Image Processing
A fast parametric motion estimation algorithm with illumination and lens distortion correction
IEEE Transactions on Image Processing
Jointly registering images in domain and range by piecewise linear comparametric analysis
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Fast motion estimation using bidirectional gradient methods
IEEE Transactions on Image Processing
Fast gradient methods based on global motion estimation for video compression
IEEE Transactions on Circuits and Systems for Video Technology
Generalized least squares-based parametric motion estimation
Computer Vision and Image Understanding
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The estimation of parametric global motion is one of the cornerstones of computer vision. Such schemes are able to estimate various motion models (translation, rotation, affine, projective) with subpixel accuracy. The parametric motion is computed using a first order Taylor expansions of the registered images. But, it is limited to the estimation of small motions, and while large translations and rotations can be coarsely estimated by Fourier domain algorithms, no such techniques exist for affine and projective motions. This paper offers two contributions: first, we improve both the convergence range and rate using a second order Taylor expansion and show first order methods to be a degenerate case of the proposed scheme. Second, we extend the scheme using a symmetrical formulation which further improves the convergence properties. The results are verified by rigorous analysis and experimental trials.