Triangulated irregular networks (TINs) are common representations of surfaces in computational graphics. We define the dual of a TIN in a special way, based on vertex-adjacency, and show that its Hamiltonian cycle always exists and can be found efficiently. This result has applications in transmission of large graphics datasets.
Description
The vertex-adjacency dual of a triangulated irregular network has a Hamiltonian cycle - ScienceDirect
%0 Journal Article
%1 BARTHOLDIIII2004304
%A Bartholdi III, John J.
%A Goldsman, Paul
%D 2004
%J Operations Research Letters
%K synthesis vector vector-synthesis
%N 4
%P 304-308
%R https://doi.org/10.1016/j.orl.2003.11.005
%T The vertex-adjacency dual of a triangulated irregular network has a Hamiltonian cycle
%U https://www.sciencedirect.com/science/article/pii/S0167637703001536
%V 32
%X Triangulated irregular networks (TINs) are common representations of surfaces in computational graphics. We define the dual of a TIN in a special way, based on vertex-adjacency, and show that its Hamiltonian cycle always exists and can be found efficiently. This result has applications in transmission of large graphics datasets.
@article{BARTHOLDIIII2004304,
abstract = {Triangulated irregular networks (TINs) are common representations of surfaces in computational graphics. We define the dual of a TIN in a special way, based on vertex-adjacency, and show that its Hamiltonian cycle always exists and can be found efficiently. This result has applications in transmission of large graphics datasets.},
added-at = {2021-05-18T07:17:23.000+0200},
author = {{Bartholdi III}, John J. and Goldsman, Paul},
biburl = {https://www.bibsonomy.org/bibtex/268a1d1893c4768d5403c8d55cf2e3391/gameovercite},
description = {The vertex-adjacency dual of a triangulated irregular network has a Hamiltonian cycle - ScienceDirect},
doi = {https://doi.org/10.1016/j.orl.2003.11.005},
interhash = {2a89f3f826b74dbf6e6d43a20aef6ffb},
intrahash = {68a1d1893c4768d5403c8d55cf2e3391},
issn = {0167-6377},
journal = {Operations Research Letters},
keywords = {synthesis vector vector-synthesis},
number = 4,
pages = {304-308},
timestamp = {2021-05-18T07:17:23.000+0200},
title = {The vertex-adjacency dual of a triangulated irregular network has a Hamiltonian cycle},
url = {https://www.sciencedirect.com/science/article/pii/S0167637703001536},
volume = 32,
year = 2004
}