Motion estimation from points without correspondences from orthographic projections.

Dmitry B. Goldgof, Thomas S. Huang, Hua Lee

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The authors present a novel algorithm for recovering motion parameters of the 3-D point sets given point coordinates in three orthographic projections before and after motion. The algorithm requires no correspondences between two time instants and only a few correspondences in projections at the second time instant. The 3-D scatter matrix of the 3-D sets is calculated from 2-D scatter matrices of projections. The algorithm uses matrix-eigendecomposition of the 3-D scatter matrix to determine four candidate solutions for the rotation matrix. Neither correspondences between time instants nor correspondences in projections are needed to determine the translation vectors and four candidate rotation matrices. Several correspondences in projections at the second time instant are used to find the correct rotation matrix. Simulation results show the accuracy and efficiency of the algorithm under noisy conditions. The authors tested the algorithm with both uniform and Gaussian noise. The advantage of this algorithm over algorithms requiring correspondences is the speed.

Original languageEnglish (US)
Title of host publicationProc Workshop Visual Motion
Editors Anon
Number of pages7
StatePublished - 1989
EventProceedings: Workshop on Visual Motion - Washington, DC, USA
Duration: Mar 28 1989Mar 31 1989

Publication series

NameProc Workshop Visual Motion


OtherProceedings: Workshop on Visual Motion
CityWashington, DC, USA

ASJC Scopus subject areas

  • Engineering(all)


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