Structure from Motion Using Bio-Inspired Intelligence Algorithm and Conformal Geometric Algebra

Structure from Motion algorithms offer good advantages, such as extract 3D information in monocular systems and structures estimation as shown in Hartley & Zisserman for numerous applications, for instance; augmented reality, autonomous navigation, motion capture, remote sensing and object recognition among others. Nevertheless, this algorithm suffers some weaknesses in precision. In the present work, we extent the proposal in Arana-Daniel, Villasenor, Lopez-Franco, & Alanis that presents a new strategy using bio-inspired intelligence algorithm and Conformal Geometric Algebra, based in the object mapping paradigm, to overcome the accuracy problem in two-view Structure form motion algorithms. For this instance, we include two new experiments and the inclusion of the circle entity; the circle carries stronger information about its motion than other geometric entities, as we will show.

[1]  S. Shankar Sastry,et al.  An Invitation to 3-D Vision , 2004 .

[2]  Eckhard Hitzer,et al.  Euclidean Geometric Objects in the Clifford Geometric Algebra of {Origin, 3-Space, Infinity} , 2005, 1306.1007.

[3]  Eduardo Bayro-Corrochano,et al.  Conformal Hough Transform for 2D and 3D Cloud Points , 2013, CIARP.

[4]  Alma Y. Alanis,et al.  Bio-inspired Aging Model-Particle Swarm Optimization and Geometric Algebra for Structure from Motion , 2014, CIARP.

[5]  Rama Chellappa,et al.  Structure from Motion Using Sequential Monte Carlo Methods , 2004, International Journal of Computer Vision.

[6]  Franklin T. Luk A parallel method for computing the generalized singular value decomposition , 1985, J. Parallel Distributed Comput..

[7]  Gabriella Sanniti di Baja,et al.  Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications , 2013, Lecture Notes in Computer Science.

[8]  D. V. Yurin,et al.  Circle detection based on multiscale edge curvature estimation , 2011, Pattern Recognition and Image Analysis.

[9]  Dan Simon,et al.  Evolutionary Optimization Algorithms , 2013 .

[10]  Javier Civera,et al.  Structure from Motion using the Extended Kalman Filter , 2012, Springer Tracts in Advanced Robotics.

[11]  Richard Szeliski,et al.  Computer Vision - Algorithms and Applications , 2011, Texts in Computer Science.

[12]  Ying Lin,et al.  Particle Swarm Optimization With an Aging Leader and Challengers , 2013, IEEE Transactions on Evolutionary Computation.

[13]  Christian Perwass,et al.  Geometric Algebra with Applications in Engineering , 2008, Geometry and Computing.

[14]  Zhengyou Zhang,et al.  A Flexible New Technique for Camera Calibration , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[15]  Yuhui Shi,et al.  Particle swarm optimization: developments, applications and resources , 2001, Proceedings of the 2001 Congress on Evolutionary Computation (IEEE Cat. No.01TH8546).

[16]  Lian-yuan Jiang,et al.  Fast detection of multi-circle with randomized Hough transform , 2009 .