We address the problem of representing and processing non-regular, non-manifold two-dimensional simplicial meshes, that we call triangle-segment meshes, at different levels of detail. Such meshes are used to describe spatial objects consisting of parts of mixed dimensions, and with a non-manifold topology. First, we describe a multi-resolution model for non-regular, non-manifold meshes, that we call a Non-manifold Multi-Tessellation (NMT). We consider the selective refinement query, which is at the heart of several analysis operations on multiresolution meshes. Next, we focus on a specific instance of a NMT, generated by a simplification process based on vertex-pair contraction, and we describe a compact data structure for encoding it. We also propose a new data structure for triangle-segment meshes, capable of representing both connectivity and adjacency information with a small memory overhead, that we use to describe the mesh extracted with selective refinement. To this aim, we define algorithms to efficiently perform mesh updates on such a data structure.

A multi-resolution topological representation for non-manifold meshes

DE FLORIANI, LEILA;MAGILLO, PAOLA;PUPPO, ENRICO;SOBRERO, DAVIDE
2002-01-01

Abstract

We address the problem of representing and processing non-regular, non-manifold two-dimensional simplicial meshes, that we call triangle-segment meshes, at different levels of detail. Such meshes are used to describe spatial objects consisting of parts of mixed dimensions, and with a non-manifold topology. First, we describe a multi-resolution model for non-regular, non-manifold meshes, that we call a Non-manifold Multi-Tessellation (NMT). We consider the selective refinement query, which is at the heart of several analysis operations on multiresolution meshes. Next, we focus on a specific instance of a NMT, generated by a simplification process based on vertex-pair contraction, and we describe a compact data structure for encoding it. We also propose a new data structure for triangle-segment meshes, capable of representing both connectivity and adjacency information with a small memory overhead, that we use to describe the mesh extracted with selective refinement. To this aim, we define algorithms to efficiently perform mesh updates on such a data structure.
2002
9781581135060
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/250328
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? ND
social impact