A method with related structures and computational components and modules for modeling data, particularly audio and video signals. The modeling method can be applied to different solutions such as 2-dimensional image / video compression, 3-dimensional image / video compression, 2-dimensional image / video understanding, knowledge discovery and mining, 3-dimensional image / video understanding, knowledge discovery and mining,
pattern recognition, object meshing / tessellation, audio compression, audio understanding, etc. Data representing audio or video signals is subject to
filtration and modeling by a first filter that tessellates data having a lower
dynamic range. A second filter then further tessellates, if needed, and analyzes and models the remaining parts of data, not analyzable by first filter, having a higher
dynamic range. A third filter collects in a generally lossless manner the overhead or residual data not modeled by the first and second filters. A variety of techniques including
computational geometry,
artificial intelligence,
machine learning and
data mining may be used to better achieve modeling in the first and second filters.