Cellular Self-Reproducing Automata As a Parallel Processing Model for Botanical Colony Growth Pattern Simulation

Kunii, T. L.; Takai, Yoshiaki

doi:10.1007/978-4-431-68093-2_2

Cited by 5 publications

(2 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The [40] proposal builds upon earlier studies of logic systems from a structural viewpoint. Kunii and Takai [41] applied a n-cell structure for analysis, classification and generation of visual objects using topology and homotopy tools in computer graphics [42][43][44][45][46]. Zheng and Maeder [47] proposed a balanced classification on binary images for conjugate classification and transformation of binary images on regular plan lattices in 1990s to visualise different configurations [15,[48][49][50].…”

Section: Logic and Dynamic Systemsmentioning

confidence: 99%

Variant Logic Construction Under Permutation and Complementary Operations on Binary Logic

Zheng

2018

Variant Construction From Theoretical Foundation to Applications

View full text Add to dashboard Cite

This chapter presents a binary logic framework whose function elements are invariant under permutation and complementary operations. The entire framework is described using 4 levels of hierarchy: n variables, 2 n states, 2 2 n functions, and 2 n !2 2 n logic functionals. Under the proposed framework, it is possible to determine higher level function complexity by analysing lower levels of organisation characteristics. These characteristics can be determined quite accurately because the symmetry conditions of variable and state organisations have invariant logic functions and a corresponding logic functional organisation. More symmetrical arrangement at state level creates more symmetrical permutations within the function space. Lower level properties are highly influential on the higher level properties of function components within a logic functional space. The proposed framework provides a logic foundation to describe complex binary systems using lower level properties, making analysis of systems more efficient and less calculation intensive. Different global coding schemes are discussed and typical two-variable cases of logic functionals are illustrated.

show abstract

Section: Logic and Dynamic Systemsmentioning

confidence: 99%

Variant Logic Construction Under Permutation and Complementary Operations on Binary Logic

Zheng

2018

Variant Construction From Theoretical Foundation to Applications

View full text Add to dashboard Cite

show abstract

“…The Zheng & Zheng (2010) proposal builds upon earlier studies of logic systems from a structural viewpoint. Kunii & Takai (1989) applied a n-cell structure for analysis, classification and generation of visual objects using topology and homotopy tools in computer graphics (Kunii, Hioki & Shinagawa, 1993;Kunii & Kunii, 1999;Kunii & Shinagawa, 1992;Kunii & Takahashi, 1993;Kunii, Tsuchida, Arai, Matsuda, Shirahama & Miura, 1993). Zheng & Maeder (1992) proposed a balanced classification on binary images for conjugate classification and transformation of binary images on regular plan lattices in 1990s to visualise different configurations (Zheng, 1994;1996;Zheng & Leung, 1996;Zheng & Maeder, 1993).…”

Section: Logic and Dynamic Systemsmentioning

confidence: 99%