The current work introduces an algorithm for constructing Reeb graph for CAD models and their inner cavities. The nodes of the graph represent areas of the manifold of the model where topological changes occur. Edges of the graph encode information about connections between such areas. The outline for the topological graph matching is given for detection of graph (sub)isomorphism. The proposed Reeb graph structure can be used as a descriptor of CAD models in the retrieval process
The shape data of many complex objects, such as anatomical structures, are available in the form of ...
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. This...
Topological Data Analysis (TDA) is a new and fast growing research field developed over last two dec...
AbstractReeb graphs are compact shape descriptors which convey topological information related to th...
International audienceThis paper presents a novel approach for fast and efficient partial shape retr...
International audience3D-model analysis plays an important role in numerous applications. In this pa...
the high level Reeb graph. (d) Application to mesh deformation. Figure 1. Overview of presented meth...
International audienceMany applications in computer graphics need high level shape descriptions, in ...
With the ongoing development of 3D technologies, 3D shapes are becoming an interactive media of majo...
Parametric CAD modelling systems requires the successful CAD model creation and modification in the ...
The Reeb graph tracks topology changes in level sets of a scalar function and finds applications in ...
Entity reconstruction is a very important problem in history-based and feature-based solid modeling ...
A method for the extraction of the Extended Reeb Graph (ERG) from a closed 3D triangular mesh is pre...
Let X be a simplicial complex with a piecewise linear function f: X → R. The Reeb graph Reeb(f,X) is...
International audienceThis paper describes a novel and unified approach for Reeb graph construction ...
The shape data of many complex objects, such as anatomical structures, are available in the form of ...
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. This...
Topological Data Analysis (TDA) is a new and fast growing research field developed over last two dec...
AbstractReeb graphs are compact shape descriptors which convey topological information related to th...
International audienceThis paper presents a novel approach for fast and efficient partial shape retr...
International audience3D-model analysis plays an important role in numerous applications. In this pa...
the high level Reeb graph. (d) Application to mesh deformation. Figure 1. Overview of presented meth...
International audienceMany applications in computer graphics need high level shape descriptions, in ...
With the ongoing development of 3D technologies, 3D shapes are becoming an interactive media of majo...
Parametric CAD modelling systems requires the successful CAD model creation and modification in the ...
The Reeb graph tracks topology changes in level sets of a scalar function and finds applications in ...
Entity reconstruction is a very important problem in history-based and feature-based solid modeling ...
A method for the extraction of the Extended Reeb Graph (ERG) from a closed 3D triangular mesh is pre...
Let X be a simplicial complex with a piecewise linear function f: X → R. The Reeb graph Reeb(f,X) is...
International audienceThis paper describes a novel and unified approach for Reeb graph construction ...
The shape data of many complex objects, such as anatomical structures, are available in the form of ...
The Reeb graph of a scalar function represents the evolution of the topology of its level sets. This...
Topological Data Analysis (TDA) is a new and fast growing research field developed over last two dec...