Image Processing Reference
In-Depth Information
(a) A digital generatrix in the form of an
irreducible digital curve.
(b) A disconnected surface of revolution
created due to missing voxels.
(c) The set of missing voxels.
(d) The connected and irreducible sur-
face of revolution when missing voxels are
added.
FIGURE 7.10: How a connected and irreducible surface of revolution is cre-
ated by fixing the missing voxels, failing which a disconnected surface would
be produced. (See color insert.)
Reprinted from
International Journal of Arts and Technology
,
4
: 196-215, G. Kumar et al., Copyright 2011, with
permission from Inderscience Publishers.
a and c are two positive integers. In order to achieve this, for each digital point
p
i
∈G, we construct the digital circle C
1
by revolving p
i
around the specified
axis of revolution, α. However, as G is irreducible in nature, two consecutive
points p
i
and p
i+1
have their distances, namely r
i
and r
i+1
, measured from α,
