International Journal of Computer Vision
A Hamiltonian Approach to the Eikonal Equation
EMMCVPR '99 Proceedings of the Second International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Multiscale Medial Loci and Their Properties
International Journal of Computer Vision - Special Issue on Research at the University of North Carolina Medical Image Display Analysis Group (MIDAG)
Corner Detection Using Vector Potential
ICPR '98 Proceedings of the 14th International Conference on Pattern Recognition-Volume 2 - Volume 2
Region shrinking and image segmentation based on the compressing vector field
MMACTEE'08 Proceedings of the 10th WSEAS International Conference on Mathematical Methods and Computational Techniques in Electrical Engineering
The curling vector field transform of gray-scale images: a magneto-static inspired approach
WSEAS Transactions on Computers
A magneto-statics inspired transform for structure representation and analysis of digital images
WSEAS Transactions on Computers
A novel image transform based on potential-field source reverse for image analysis
ISPRA'09 Proceedings of the 8th WSEAS international conference on Signal processing, robotics and automation
A physics-inspired model of image structure representation by deformable elastic grid
CIMMACS'08 Proceedings of the 7th WSEAS international conference on Computational intelligence, man-machine systems and cybernetics
The curl source reverse as a magneto-statics inspired transform for image structure representation
ICCOMP'09 Proceedings of the WSEAES 13th international conference on Computers
The relative potential field as a novel physics-inspired method for image analysis
WSEAS Transactions on Computers
Image region segmentation based on the virtual edge current in digital images
NEHIPISIC'11 Proceeding of 10th WSEAS international conference on electronics, hardware, wireless and optical communications, and 10th WSEAS international conference on signal processing, robotics and automation, and 3rd WSEAS international conference on nanotechnology, and 2nd WSEAS international conference on Plasma-fusion-nuclear physics
WSEAS Transactions on Computers
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This paper describes a vectorial representation that can be used to assess the symmetry of objects in 2D images. The method exploits a magneto-static analogy. Commencing from the gradient-field extracted from filtered grey-scale images we construct a vector-potential. Our magneto-static analogy is that tangential gradient vectors represent the elements of a current distribution on the image plane. By embedding the image plane in an augmented 3-dimensional space, we compute the vector potential by performing volume integration over the current distribution. The associated magnetic field is computed by taking the curl of the vector-potential. The auxiliary spatial dimension provides a natural scale-space sampling of the generating current-distribution; as the height above the image plane is increased, so the volume over which averaging is effected also increases. We extract edge and symmetry lines through a topographic analysis of the vector-field at various heights above the image plane. Symmetry axes are lines of where the curl of the vector-potential vanishes; at edges the divergence of the vector-potential vanishes.