April 2016
Intermediate to advanced
318 pages
9h 47m
English
book
Digital Geometry in Image Processing
by Jayanta Mukhopadhyay, Partha Pratim Das, Samiran Chattopadhyay, Partha Bhowmick, Biswa Nath Chatterji
Content preview from Digital Geometry in Image Processing
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72 Digital Geometry in Image Processing
2.5.5.2 Special Cases of Hype rspheres in 2-D and 3-D
Next we take a deeper look into the disks (or spheres) in 2-D and 3-D for a
subclass of hyperoctagonal distances where the N-Sequence B is intrinsically
sorted (see Definition 2.22), that is, B = S(B). Examples of these disks and
spheres are shown in Figs. 2.11 and 2.12, respectively.
Under this condition, we s how that the vertices are nicely approximated
and compact forms for the perimeter, area, volume, and shape feature e xist.
Approximations of Vertices in 2-D and 3-D
We start by approximating the vertices in 2- D (digital disks) and 3-D (digital
spheres). ...
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