114 Digital Geometry in Image Processing
principal coordinate planes as discussed before. The chain codes are then
represented by a fixed number of elements. These representations of chain
code are called tuples. Four different characterization schemes of the chain
code of a 3-D DSLS are discussed in this section. These characterizations are
used in constructing the domain of the DSLS. For details, interested readers
may refer to [39].
3.3.2.1 n-characterization
This is the most rudimentary characterization scheme where a chain code
string C is characterized by the total number of 2-tuples it contains. This is
very similar to the (n)-characterization in the case of a 2-D DSLS.
3.3.2.2 (n, n
o1
, n
o2
)-characterization
This is also an extension of odd–even ...