We propose a novel method for estimating the 3-D motion and dense structure (depth) of an object from its two 2-D images. The proposed method is an iterative algorithm based on the theory of projections onto convex sets (POCS) that involves successive projections onto closed convex constraint sets. We seek a solution for the 3-D motion and structure information that satisfies the following constraints: (i) Rigid motion - the 3-D motion (rotation and translation) parameters are the same for each point on the object. (ii) Smoothness of the structure - the depth values of the neighboring points on the object vary smoothly. (iii) Temporal correspondence - the intensities in the given 2-D images match under the 3-D motion and structure parameters. We mathematically derive the projection operators onto these sets and discuss the convergence properties of successive projections. Experimental results show that the proposed method significantly improves the initial motion and structure estimates.


    Access

    Download


    Export, share and cite



    Title :

    Three-D motion and dense structure estimation using convex


    Contributors:

    Publication date :

    1997-01-01



    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English


    Classification :

    DDC:    629



    THREE-DIMENSIONAL DENSE STRUCTURE FROM MOTION WITH STEREO VISION

    MUELLER MARTIN FRITZ / BATUR AZIZ UMIT | European Patent Office | 2017

    Free access

    Three-dimensional dense structure from motion with stereo vision

    MUELLER MARTIN FRITZ / BATUR AZIZ UMIT | European Patent Office | 2019

    Free access

    Hierarchical Estimation and Segmentation of Dense Motion Fields

    Memin, E. / Perez, P. | British Library Online Contents | 2002


    Dense Motion Field Estimation using Spatial Filtering and Quasi Eigenfunction approximations

    Kristoffersen, E. / Austvoll, I. / Engan, K. | British Library Conference Proceedings | 2005