Three-D motion and dense structure estimation using convex

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.


Guenyel, Bertan; Alatan, Abdullah Aydın (2010-09-29)
A multi-resolution motion estimation scheme is proposed for tracking of the true 2D motion in video sequences for motion compensated image interpolation. The proposed algorithm utilizes frames with different resolutions and adaptive block dimensions for efficient representation of motion. Firstly, motion vectors for each block are assigned as a result of predictive search in each pass. Then, the outlier motion vectors are detected and corrected at the end of each pass. Simulation results with respect to dif...
Three-dimensional wake reconstruction of a flapping-wing MAV using a Kriging regression technique
Perçin, Mustafa; Van Oudheusden, Bas W.; Dwight, R P (2013-07-01)
The work explores the three-dimensional unsteady wake of a flapping-wing Micro Air Vehicle (MAV) ‘DelFly II’, applying a Kriging regression technique for the spatial regression of time-resolved Stereoscopic Particle Image Velocimetry (Stereo-PIV) data. In the view of limited number of measurement planes, the particular objective of the regression is to provide an accurate volumetric representation of the measurement domain on a spatial grid that is much finer than the spacing between the measurement planes....
Two-Step Lagrange Interpolation Method for the Multilevel Fast Multipole Algorithm
Ergül, Özgür Salih; Gurel, L. (Institute of Electrical and Electronics Engineers (IEEE), 2009)
We present a two-step Lagrange interpolation method for the efficient solution of large-scale electromagnetics problems with the multilevel fast multipole algorithm (MLFMA). Local interpolations are required during aggregation and disaggregation stages of MLFMA in order to match the different sampling rates for the radiated and incoming fields in consecutive levels. The conventional one-step method is decomposed into two one-dimensional interpolations, applied successively. As it provides a significant acce...
A projection-based stabilized finite element method for steady-state natural convection problem
Çıbık, Aytekin; Kaya Merdan, Songül (Elsevier BV, 2011-9)
We formulate a projection-based stabilization finite element technique for solving steady-state natural convection problems. In particular, we consider heat transport through combined solid and fluid media. This stabilization does not act on the large flow structures. Based on the projection stabilization idea, finite element error analysis of the problem is investigated and optimal errors for the velocity, temperature and pressure are established. We also present some numerical tests which both verify the ...
3-D motion estimation of rigid objects for video coding applications using an improved iterative version of the E-matrix method
Alatan, Abdullah Aydın (1998-02-01)
As an alternative to current two-dimensional (2-D) motion models, a robust three-dimensional (3-D) motion estimation method is proposed to be utilized in object-based video coding applications, Since the popular E-matrix method is well known for its susceptibility to input errors, a performance indicator, which tests the validity of the estimated 3-D motion parameters both explicitly and implicitly, is defined. This indicator is utilized within the RANSAC method to obtain a robust set of 2-D motion correspo...
Citation Formats
A. A. Alatan and L. Onural, “Three-D motion and dense structure estimation using convex,” 1997, vol. 3024, Accessed: 00, 2020. [Online]. Available: