  An effort has been made to show mathematicians some new ideas applied to
image analysis. Gray images are presented as tilings. Based on topological
properties of the tiling, a number of gray convex hulls: maximal, minimal, and
oriented ones are constructed and some are proved. They are constructed with
only one operation. Two tilings are used in the Constraint and Allowance types
of operations. New type of concavity described: a dale. All operations are
parallel, possible to realize clock-less. Convexities define what is the
background. They are treated as separate gray objects. There are multiple
relations among them and their descendants. Via that, topological size of
concavities is proposed. Constructed with the same type of operations, Rays and
Angles in a tiling define possible spatial relations. Notions like "strokes"
are defined through concavities. Unusual effects on levelized gray objects are
shown. It is illustrated how alphabet and complex hieroglyphs can be described
through concavities and their relations. A hypothesis of living organisms image
analysis is proposed. A number of examples with symbols and a human face are
calculated with new Asynchwave C++ software library.
