In an earlier question I inquired about contour lines reflecting probability values in a Bivariate Gaussian Distribution. I have spent some time thinking and playing around with a Mathematica manipulate, but I have been unable to find a model that suits my needs.
In my computer-vision problem, a blob can move either forward or backwards (with a slight chance of moving sideways) along its directional axis. I am seeking a bivariate model because I need to determine whether a blob's new position (with respect to its old one) is "feasible," or "likely." However, the blob can not move extreme distances very quickly.
Thus, there is a high probability that the blob will not move very far if it does move (but still a sufficient amount such that the probability distribution will be elongated along one axis [not the orthogonal]).
I am searching for a model that has high probability values within a smaller region, but has a larger encompassing region with small (and distinctly different) probability values.
Thank you for your help!