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* The author was supported by NSF Grant No. DMS 9706883.Let P be a bi-variate algebraic polynomial of degree n with the
real senior part, and Y = {yj }1,n an n-element collection of pairwise
noncolinear unit vectors on the real plane. It is proved that there exists a rigid
rotation Y^φ of Y by an angle φ = φ(P, Y ) ∈ [0, π/n] such that P equals the
sum of n plane wave polynomials, that propagate in the directions ∈ Y^φ .
The inner knowledge of volumes from images
is an ancient problem. This question becomes complicated when it
concerns quantization, as the case of any measurement and in
particular the calculation of fractal dimensions. Trabecular bone
tissues have, like many natural elements, an architecture which
shows a fractal aspect. Many studies have already been developed
according to this approach. The question which arises however is to
know to which extent it is possible to get an exact determination of
the...
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