Tuesday, October 4, 2011

Reaction: Imaging Vector Fields Using Line Integral Convolution

This paper on Line Integral Convolution for Imaging Vector Fields is mathematically oriented.  Local Field Behaviour and Line Convolution have been explicitly brought out through a set of mathematical equations involving pixels and vector field at lattice point.  The concepts are well illustrated with multilayer diagrams which enable easier understanding of the process of visualization by changing the values of the related parameter. Simulating a brush stroke makes interesting illustration creating an inquisitiveness to probe into the algorithm in the areas of vectors producing contours of soft hills and valleys.  How a filtered input image and vector field combinations create an output image along stream lines defined by vector field have been enunciated in the paper. This provides added directional information during image processing. 

Extensive mathematical derivations illustrated in this paper have to be supplemented with mathematical learning especially in the areas of ripple filter functions and their periodicity.