Abstract
This paper introduces advances in the use of Bessel functions (cylinder
functions) in achieving optimal sharpness of shapes delineated by
collections of holes (dark valley regions) and bright regions in
different areas of a video frame. An image hole is an island of low
voxel intensities surrounded by varying voxel intensity peaks. The basic
approach is to identify dominant collections of lights (high voxel
intensity peaks) and darks (low voxel intensity clusters) in video
frames. A main finding in this paper is that surface objects (recorded
in images) are sharper wherever there are preponderant contrasting
differences between image lights and darks. These contrasting
differences lead to the highly accurate detection of shape holes (dark
valleys) that delineate surface shapes recorded in sequences of video
frames). With the use of cylindrical Bessel functions, contrasting
differences between peaks and valleys can be measured in terms of voxel
intensities and voxel indices.