Cellular Structures as Structured Simplicial Structures

So far we have been concerned with the definitions of n-Gmaps and n-maps, construction operations and embedding definitions for applications in geometric modeling, computational geometry, discrete geometry, computer graphics, image processing and analysis. But note that only examples of geometric ob...

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Bibliographic Details
Published in:Combinatorial Maps pp. 317 - 356
Main Authors: Damiand, Guillaume, Lienhardt, Pascal
Format: Book Chapter
Language:English
Published: United Kingdom A K Peters/CRC Press 2015
CRC Press LLC
Subjects:
Computing: general
Image processing
Abstract Simplicial Map
Simplicial Analog
Proper Star
Geometric Object
Partial Permutations
Simplicial Complex
5e E1 E7 E3e2e4
Computer Graphics
Implicit Orientation
Barycentric Coordinates
V1 V3 V2
Linear Homeomorphism
Convex Cells
Abstract Simplicial Complex
Geometric Realization
Simplicial Map
Combinatorial Characterization
Incidence Graph
Proper Face
Switch Property
Connected Component
Cellular Structures
Face F1
Abstract Simplicial
Face Operators
ISBN:9781482206524, 1482206528
Online Access:Get full text
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Summary:So far we have been concerned with the definitions of n-Gmaps and n-maps, construction operations and embedding definitions for applications in geometric modeling, computational geometry, discrete geometry, computer graphics, image processing and analysis. But note that only examples of geometric objects which can be associated with n-Gmaps and n-maps have been provided. An important question remains: what are the geometric objects which correspond to n-Gmaps and n-maps, and more generally to cellular structures, including incidence graphs?
ISBN:9781482206524
1482206528
DOI:10.1201/b17403-12