Construction of Convex Sets on Quadrilateral Ordered Tiles or Graphs with Propagation Neighborhood Operations. Dales, Concavity Structures. Application to Gray Image Analysis o

08/29/2016
by   Igor Polkovnikov, et al.
0

An effort has been made to show mathematicians some new ideas applied to image analysis. Gray images are presented as tilings. Based on topological properties of the tiling, a number of gray convex hulls: maximal, minimal, and oriented ones are constructed and some are proved. They are constructed with only one operation. Two tilings are used in the Constraint and Allowance types of operations. New type of concavity described: a dale. All operations are parallel, possible to realize clock-less. Convexities define what is the background. They are treated as separate gray objects. There are multiple relations among them and their descendants. Via that, topological size of concavities is proposed. Constructed with the same type of operations, Rays and Angles in a tiling define possible spatial relations. Notions like "strokes" are defined through concavities. Unusual effects on levelized gray objects are shown. It is illustrated how alphabet and complex hieroglyphs can be described through concavities and their relations. A hypothesis of living organisms image analysis is proposed. A number of examples with symbols and a human face are calculated with new Asynchwave C++ software library.

READ FULL TEXT

page 19

page 25

page 26

page 28

page 29

page 30

page 33

page 36

research
08/09/2018

A Set-Theoretic Framework for Parallel Graph Rewriting

We tackle the problem of attributed graph transformations and propose a ...
research
08/24/2017

An Image Analysis Approach to the Calligraphy of Books

Text network analysis has received increasing attention as a consequence...
research
01/07/2016

Fuzzy Object-Oriented Dynamic Networks. I

The concepts of fuzzy objects and their classes are described that make ...
research
02/11/2018

Denotational semantics for guarded dependent type theory

We present a new model of Guarded Dependent Type Theory (GDTT), a type t...
research
10/11/2018

Computational Technologies for Brain Morphometry

In this paper, we described a set of computational technologies for imag...

Please sign up or login with your details

Forgot password? Click here to reset