On Kineopsis and Computation of Structure and Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Motion and Structure From Two Perspective Views: Algorithms, Error Analysis, and Error Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Trinocular Stereo Vision for Robotics
IEEE Transactions on Pattern Analysis and Machine Intelligence
The feasibility of motion and structure from noisy time-varying image velocity information
International Journal of Computer Vision
Estimating motion parameters with three-dimensional self-organizing maps
Information Sciences: an International Journal - Special issue on advanced neuro-fuzzy techniques and their applications
Block matching displacement estimation: a sliding window approach
Information Sciences: an International Journal - Dictionary based compression
Characterizing Depth Distortion under Different Generic Motions
International Journal of Computer Vision
Trinocular Active Range-Sensing
IEEE Transactions on Pattern Analysis and Machine Intelligence
3-D Translational Motion and Structure from Binocular Image Flows
IEEE Transactions on Pattern Analysis and Machine Intelligence
Modeling Insect Compound Eyes: Space-Variant Spherical Vision
BMCV '02 Proceedings of the Second International Workshop on Biologically Motivated Computer Vision
Comparison of Approaches to Egomotion Computation
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Trinocular Divergent Stereo Vision
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
Trinocular Stereo for Non-Parallel Configurations
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 1
Trinocular Stereo Using Shortest Paths and the Ordering Constraint
SMBV '01 Proceedings of the IEEE Workshop on Stereo and Multi-Baseline Vision (SMBV'01)
Advances in Computational Stereo
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape and the Stereo Correspondence Problem
International Journal of Computer Vision
Efficient local transformation estimation using Lie operators
Information Sciences: an International Journal
Recursive estimation of time-varying motion and structure parameters
Pattern Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast and accurate global motion estimation algorithm using pixel subsampling
Information Sciences: an International Journal
Estimation of F-Matrix and image rectification by double quaternion
Information Sciences: an International Journal
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This study presents a technique for recovering translational motion parameters using a parallel trinocular system and a least squares estimation scheme. The proposed approach overcomes the matrix singularity problem encountered when attempting to recover the motion parameters using a binocular scheme. To further reduce the computational complexity of the motion estimation process, the study also presents a compact closed-form scheme for estimating the translational motion parameters. The closed-form algorithm not only resolves the matrix singularity problem, but also avoids the requirement for matrix manipulation. As a result, it has a low computational complexity and is therefore an ideal solution for performing motion estimation in complex, real-world visual imaging applications. The performance of the closed-form algorithm is evaluated by performing a series of numerical simulations in which translational motions of various magnitudes and in various directions are recovered in both noise-free and perturbed environments. In general, the results demonstrate that the translational motion parameters can be accurately reconstructed provided that the motion in the depth direction is limited to small displacements only. Overall, the simulation results suggest that the parallel trinocular system and the motion parameter estimation scheme presented in this study represent a suitable basis for the development of artificial planar-array compound-like eyes for enhanced performance tracking and imaging applications.