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Integral based approach for determining motion vector fields [chapter]

Atsushi Nomura
1997 Lecture Notes in Computer Science  
This paper describes a method determining a motion vector field from an image sequence.  ...  In this method, a couple of a basic constraint equations in integral form and an additional constraint equation of spatio-temporal local constancy of a motion vector field is solved by the over-deterministic  ...  Hidetoshi Miike (Yamaguchi University) for helpful comments and stimulating discussions.  ... 
doi:10.1007/3-540-63507-6_233 fatcat:2uhhvnp6krh6zh3s43ycwctxfa

Animation of Orthogonal Texture-Based Vector Field Visualization [article]

Sven Bachthaler, Daniel Weiskopf
2007 EUROVIS 2005: Eurographics / IEEE VGTC Symposium on Visualization  
Line patterns are generated by line integral convolution (LIC). This visualization is combined with animation based on motion along the vector field.  ...  We present respective visualization algorithms for 2D planar vector fields and tangential vector fields on curved surfaces, and demonstrate that those algorithms lend themselves to efficient and interactive  ...  Salzer for proof-reading.  ... 
doi:10.2312/vissym/eurovis07/219-226 fatcat:zislxyx3ujhqxafiwvaug4nb5q

Global vector field computation for feedback motion planning

Liangjun Zhang, S.M. LaValle, D. Manocha
2009 2009 IEEE International Conference on Robotics and Automation  
We present a global vector field computation algorithm in configuration spaces for smooth feedback motion planning.  ...  We compute a smooth local vector field for each cell in the free space and address the issue of the smooth composition of the local vector fields between the non-uniform adjacent cells.  ...  The more direct approaches are to compute the vector field based on sequential composition [4] , [5] , [6] .  ... 
doi:10.1109/robot.2009.5152665 dblp:conf/icra/ZhangLM09 fatcat:7il7lvgumnezdclfkf3kcjsej4

A Behavior Architecture for Autonomous Mobile Robots Based on Potential Fields [chapter]

Tim Laue, Thomas Röfer
2005 Lecture Notes in Computer Science  
This paper describes a behavior-based architecture which integrates existing potential field approaches concerning motion planning as well as the evaluation and selection of actions into a single architecture  ...  This combination allows, together with the concept of competing behaviors, the specification of more complex behaviors than the usual approach which is focusing on behavior superposition and is mostly  ...  Acknowledgements The authors would like to thank the members of the GermanTeam as well as the members of B-Smart for providing the basis of their research.  ... 
doi:10.1007/978-3-540-32256-6_10 fatcat:spehpsiemffafa6cstzqnydnya

Incompressible Cardiac Motion Estimation of the Left Ventricle Using Tagged MR Images [chapter]

Xiaofeng Liu, Khaled Z. Abd-Elmoniem, Jerry L. Prince
2009 Lecture Notes in Computer Science  
The approach applies a smoothing, divergence-free, vector spline to interpolate velocity fields at intermediate discrete times such that the collection of velocity fields integrate over time to match the  ...  Through this process, the method yields a dense estimate of a displacement field that matches our observations and also corresponds to an incompressible motion.  ...  Based on this physical property of the heart, we propose an approach based on DFVS to reconstruct the displacement field of the LV of the heart.  ... 
doi:10.1007/978-3-642-04271-3_41 fatcat:dp2xt2re75fwxbwte3vdhyya7e

Assessment of Earth Gravity Field Models in the Medium to High Frequency Spectrum Based on GRACE and GOCE Dynamic Orbit Analysis

Thomas D. Papanikolaou, Dimitrios Tsoulis
2018 Geosciences  
The present contribution aims at a band-limited analysis for identifying characteristic degree ranges and thresholds of the various GRACE- and GOCE-based gravity field models.  ...  A validation scheme of the gravity field models is implemented based on dynamic orbit determination that is applied in a degree-wise cumulative sense of the individual spherical harmonics.  ...  Figure 1 . 1 Principal objectives of satellite orbit determination the satellite position vector obtained by the orbit integration (numerical solution of the equation of motion).  ... 
doi:10.3390/geosciences8120441 fatcat:v254pfxxs5fdreps7i7igxzo4m

Dense, Robust, and Accurate Motion Field Estimation from Stereo Image Sequences in Real-Time [chapter]

Clemens Rabe, Thomas Müller, Andreas Wedel, Uwe Franke
2010 Lecture Notes in Computer Science  
In this paper a novel approach for estimating the three dimensional motion field of the visible world from stereo image sequences is proposed.  ...  The result is a dense, robust, and accurate reconstruction of the three-dimensional motion field of the current scene that is computed in real-time.  ...  Temporal Integration of the Motion Field To increase the robustness and accuracy of the estimated motion field, we suggest a temporal integration using Kalman filters.  ... 
doi:10.1007/978-3-642-15561-1_42 fatcat:prprr5nrwbee7kaac7ebqaedgm

Whole arm manipulation planning based on feedback velocity fields and sampling-based techniques

B. Talaei, F. Abdollahi, H.A. Talebi, E. Omidi Karkani
2013 ISA transactions  
The idea is based on a vector field that imposes perturbation in object motion inducing directions when the movement is considerably along manipulator redundant directions.  ...  As experimental results confirm, the proposed algorithm is effective in avoiding jamming as well as obstacles for a 6-DOF dual arm whole arm manipulator.  ...  Robot motion will be its integral curve in the defined vector field.  ... 
doi:10.1016/j.isatra.2013.04.006 pmid:23701897 fatcat:wmjiojnit5fs3otgippaifgmt4

Incompressible Deformation Estimation Algorithm (IDEA) From Tagged MR Images

Xiaofeng Liu, Khaled Z. Abd-Elmoniem, Maureen Stone, Emi Z. Murano, Jiachen Zhuo, Rao P. Gullapalli, Jerry L. Prince
2012 IEEE Transactions on Medical Imaging  
IDEA then applies a smoothing, divergence-free, vector spline to interpolate velocity fields at intermediate discrete times such that the collection of velocity fields integrate over time to match the  ...  At each imaged time frame, the tagged images are first processed to determine components of the displacement vector at each pixel relative to the reference time.  ...  IDEA uses a divergence-free vector spline on incomplete and non-uniform sample data to interpolate velocity fields at discrete integration steps, and the displacement field is computed by integrating these  ... 
doi:10.1109/tmi.2011.2168825 pmid:21937342 pmcid:PMC3683312 fatcat:3uuhbavtlve65ls7zk7naa2yhy

Hybrid recursive energy-based method for robust optical flow on large motion fields

Jangheon Kim, T. Sikora
2005 IEEE International Conference on Image Processing 2005  
Integrated local and global approaches using the robust statistic of anisotropic diffusion remove outliers from the estimated motion field.  ...  The experimental results prove the excellent performance on several large motion fields.  ...  Both block initial vector and final dense motion field are adjusted to be more visible with the same scale.  ... 
doi:10.1109/icip.2005.1529704 dblp:conf/icip/KimS05 fatcat:iids3px7ybambn7bg5ih3q6r6y

A Local Feature based on Lagrangian Measures for Violent Video Classification

T. Senst, V. Eiselein, T. Sikora
2015 6th International Conference on Imaging for Crime Prevention and Detection (ICDP-15)  
Therefore we propose a local feature based on the SIFT algorithm that incooperates appearance and Lagrangian based motion models.  ...  Lagrangian theory provides a diverse set of tools for continuous motion analysis. Existing work shows the applicability of Lagrangian method for video analysis in several aspects.  ...  The integral field lines are the bases of the dynamic flow field analysis.  ... 
doi:10.1049/ic.2015.0104 dblp:conf/icdp/SenstES15 fatcat:4ovmgt2a3ngvbkt4d6b2cqz75m

Design, Implementation, and Experimental Results of a Quaternion-Based Kalman Filter for Human Body Motion Tracking

Xiaoping Yun, Eric R. Bachmann
2006 IEEE Transactions on robotics  
Experimental results validate the filter design, and show the feasibility of using inertial/magnetic sensor modules for real-time human body motion tracking.  ...  Real-time implementation and testing results of the quaternion-based Kalman filter are presented.  ...  McGhee for insightful advice and guidance throughout this project, J. Calusdian for technical support, C. Aparicio for implementing the Kalman filter and conducting experimental testing, and D.  ... 
doi:10.1109/tro.2006.886270 fatcat:62hr72wm5fejthogjvgenoqbwm

Optimization algorithm of the velocity field determining in image processing

Pavel Bazhanov, Elena Kotina, Dmitri Ovsyannikov, Victor Ploskikh
2018 Cybernetics and Physics  
The paper proposes a new algorithm for constructing the velocity field, which is based on the study of the integral functional on the ensemble of trajectories.  ...  It allows to find the desired parameters using gradient methods, which determine the velocity field. This approach allows both optical flow and non-optical flow construction.  ...  In the first image the obtained velocity field is drawn, which determines the observed motion.  ... 
doi:10.35470/2226-4116-2018-7-4-174-181 fatcat:epj75d7km5dhzgiwo7zjv66iya

Velocity Based Segmentation in Phase Contrast MRI Images [chapter]

Jan Erik Solem, Markus Persson, Anders Heyden
2004 Lecture Notes in Computer Science  
This paper presents a method for 3D segmentation of blood vessels and determining the surface of the inner wall using this vector field.  ...  The output data is a velocity vector field in a threedimensional (3D) volume.  ...  The authors would like to thank the Department of Clinical Physiology, Lund University, especially Erik Bergvall and Karin Markenroth at Philips Medical Systems, for interesting discussions regarding MRI  ... 
doi:10.1007/978-3-540-30135-6_56 fatcat:onipfbst2vbf5bmfsdevhzktve

Singularities of the Inertial Flow Map Gradient [article]

Tobias Günther, Holger Theisel
2016 Vision  
We demonstrate the extraction techniques and discuss the role of singularities in a number of 2D vector fields.  ...  We extract singularities in space-time and propose a simple approach to extract influence curves even when they are spatially disconnected.  ...  This method is less accurate than the integration-based approach in Section 4.1, since we discretize vector field w(x 0 , τ) to a certain resolution, prior to extraction and intersection of the isosurfaces  ... 
doi:10.2312/vmv.20161344 dblp:conf/vmv/GuntherT16 fatcat:rj242idr7fda5lyeppxzk5m22y
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