1. A method for measuring probable object size and detecting probable connectivity between objects in noisy data volumes, said method comprising the steps of: a) subdividing the data volume into voxels, each voxel being represented by a single datum value; b) calculating a probability distribution of noise-free datum values for each voxel; c) randomly sampling each voxel's probability distribution to generate a noise-free datum value for such voxel, collectively comprising a noise-free data volume; d) determining regions within the noise-free data volume of step (c) wherein each voxel in said region satisfies a pre-selected eligibility criterion and no voxel adjoining said region satisfies said criterion; and e) repeating steps (c)-(d) until the distribution of the resulting realizations satisfies a selected stopping condition.