scholarly journals Removal Operations in nD Generalized Maps for Efficient Homology Computation

2012 ◽  
pp. 20-29 ◽  
Author(s):  
Guillaume Damiand ◽  
Rocio Gonzalez-Diaz ◽  
Samuel Peltier
Keyword(s):  
Generalized Maps

Modeling of Flowers with Inverse Grammar Generation Interface

2012 ◽  
Vol 3 (2) ◽  
pp. 23-41
Author(s):  
Olga Petrenko ◽  
Mateu Sbert ◽  
Olivier Terraz ◽  
Djamchid Ghazanfarpour
Keyword(s):  
Inverse Modeling ◽  
Three Dimensional ◽  
Automatic Generation ◽  
Flowering Plants ◽  
Natural Phenomena ◽  
Production Rules ◽  
Procedural Modeling ◽  
Model Based ◽  
L Systems ◽  
Generalized Maps

Flowers belong to one of the natural phenomena that cannot be captured completely, as there is enormous variety of shapes both within and between individuals. The authors propose a procedural modeling of flowering plants using an extension of L-Systems – a model based on three-dimensional generalized maps. Conventionally, in order to build a model the user has to write the grammar, which consists of the description of 3Gmaps and all the production rules. The process of writing a grammar is usually quite laborious and tedious. In order to avoid this the authors propose new interface functionality: the inverse modeling by automatic generation of L-systems. The user describes the flower he wants to model, by assigning the properties of its organs. The algorithm uses this information as an input, which is then analyzed and coded as L-systems grammar.

scholarly journals Computing Canonical Polygonal Schemata with Generalized Maps

2008 ◽  
Vol 31 ◽  
pp. 287-292 ◽  
Author(s):  
Guillaume Damiand ◽  
Sylvie Alayrangues
Keyword(s):  
Generalized Maps

scholarly journals Measuring the Distance of Generalized Maps

2011 ◽  
pp. 82-91 ◽  
Author(s):  
Camille Combier ◽  
Guillaume Damiand ◽  
Christine Solnon
Keyword(s):  
Generalized Maps

scholarly journals Computing Homology Generators for Volumes Using Minimal Generalized Maps

2008 ◽  
pp. 63-74 ◽  
Author(s):  
Guillaume Damiand ◽  
Samuel Peltier ◽  
Laurent Fuchs
Keyword(s):  
Generalized Maps

scholarly journals Theory of g-Tg-Maps

2018 ◽  
Author(s):  
Mohammad Irshad Khodabocus ◽  
Noor-Ul-Hacq Sookia
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
New Class ◽  
Starting Point ◽  
Generalized Topological Space ◽  
Generalized Classes ◽  
Generalized Maps

Several specific types of generalized maps of a generalized topological space have been defined and investigated for various purposes from time to time in the literature of topological spaces. Our recent research in the field of a new class of generalized maps of a generalized topological space is reported herein as a starting point for more generalized classes.

Generalized Maps

2020 ◽  
pp. 157-170
Author(s):  
Daniel Canarutto
Keyword(s):  
Hilbert Space ◽  
Fourier Transforms ◽  
Tensor Products ◽  
Hermitian Structure ◽  
Quantum Geometry ◽  
Basic Notion ◽  
Rigged Hilbert Space ◽  
Fundamental Properties ◽  
Special Cases ◽  
Generalized Maps

Spaces of generalised sections (also called section-distributions) are introduced, and their fundamental properties are described. Several special cases are considered, with particular attention to the case of semi-densities; when a Hermitian structure on the underlying classical bundle is given, these determine a rigged Hilbert space, which can be regarded as a basic notion in quantum geometry. The essentials of tensor products in distributional spaces, kernels and Fourier transforms are exposed.

scholarly journals From maximum common submaps to edit distances of generalized maps

2012 ◽  
Vol 33 (15) ◽  
pp. 2020-2028 ◽  
Author(s):  
Camille Combier ◽  
Guillaume Damiand ◽  
Christine Solnon
Keyword(s):  
Generalized Maps
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