343
Operator
Function
GLOBAL
FOURIER-Transformation
exp t (x)
WALSH -Transformation
wal s (K)
HAAR -Transformation
har^ n ^(K)
LOCAL
function value on the
digitizing place
sin X
HARDY-function
X
interpolation in a neigh
bourhood (integration)
rect x
interpolation with
polynomes +)
(rect x) * (rect x) * ...
E. g. for the cubuic SPLINE-interpolation the characteristic
function is (rect x) * (rect x) * (rect x)
Table 1: Function systems for transformations
(I)
data structure
changing
(II)
data structure
preserving
Mathematical
background
Where , N Whe re to ?
from ? c —> ‘
How ?
Table 3: Mathematical background of transformations
