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      • Department of Electrical and Electronics Engineering
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      Three-dimensional motion and dense-structure estimation using convex projections

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      Author
      Alatan, A. Aydın
      Erdem, A. Tanju
      Onural, Levent
      Date
      1997-02
      Source Title
      Electronic Imaging '97 - Proceedings - Visual Communications and Image Processing '97
      Print ISSN
      0277-786X
      Publisher
      SPIE
      Pages
      1122 - 1131
      Language
      English
      Type
      Conference Paper
      Item Usage Stats
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      124
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      Abstract
      We propose a novel method for estimating the 3D motion and dense structure of an object form its two 2D 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 3D motion and structure information that satisfies the following constraints: (i) rigid motion - the 3D motion parameters are the same for each point on the object. (ii) Smoothness of the structure - depth values of the neighboring points on the object vary smoothly. (iii) Temporal correspondence - the intensities in the given 2D images match under the 3D 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.
      Keywords
      3-D motion estimation
      Projections onto convex sets
      Structure estimation
      Video coding
      Communication
      Constraint theory
      Digital image storage
      Image coding
      Image communication systems
      Image enhancement
      Image processing
      Imaging systems
      Mechanisms
      Motion compensation
      Motion estimation
      Programming theory
      Set theory
      Visual communication
      2d images
      3d motions
      Convergence properties
      Convex constraints
      Convex projections
      Dense structures
      Iterative algorithms
      Neighboring points
      Novel methods
      Projection operators
      Projections onto convex sets
      Structure informations
      Structure parameters
      Video coding
      Three dimensional
      Permalink
      http://hdl.handle.net/11693/27692
      Published Version (Please cite this version)
      http://dx.doi.org/10.1117/12.263192
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      • Department of Electrical and Electronics Engineering 3524
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