Accurate 3D mesh simplification
type: Dataset
description: Complex 3D digital objects are used in many domains such as animation films, scientific visualization, medical imaging and computer vision. These objects are usually represented by triangular meshes with many triangles. The simplification of those objects in order to keep them as close as possible to the original has received a lot of attention in the recent years. In this context, we propose a simplification algorithm which is focused on the accuracy of the simplifications. The mesh simplification uses edges collapses with vertex relocation by minimizing an error metric. Accuracy is obtained with the two error metrics we use: the Accurate Measure of Quadratic Error (AMQE) and the Symmetric Measure of Quadratic Error (SMQE). AMQE is computed as the weighted sum of squared distances between the simplified mesh and the original one. Accuracy of the measure of the geometric deviation introduced in the mesh by an edge collapse is given by the distances between surfaces. The distances are computed in between sample points of the simplified mesh and the faces of the original one. SMQE is similar to the AMQE method but computed in the both, direct and reverse directions, i.e. simplified to original and original to simplified meshes. The SMQE approach is computationnaly more expensive than the AMQE but the advantage of computing the AMQE in a reverse fashion results in the preservation of boundaries, sharp features and isolated regions of the mesh. For both measures we obtain better results than methods proposed in the literature.
landing page: https://theses.hal.science/tel-01224848
identifier: NNT: 2012ISAL0145
keyword: accurate-measure-of-quadratic-error---amqe
keyword: complex-3d-digital-objects
keyword: computer-vision
keyword: digital-imaging
keyword: edge-collapse
keyword: imagerie-medicale
keyword: imagerie-numerique
keyword: infoeu-reposemanticsdoctoralthesis
keyword: maillage
keyword: medical-imaging
keyword: mesh-simplification
keyword: objet-numerique-3d
keyword: simplification-maillage
keyword: spiotherengineering-sciences-physicsother
keyword: symmetric-measure-of-quadratic-error---smqe
keyword: theses
keyword: vision-par-ordinateur
issued: 2026-05-10T13:34:06.084931
modified: 2026-05-10T13:34:06.084935
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Accurate 3D mesh simplification
type: Distribution
format: HTML
access URL: https://theses.hal.science/tel-01224848
issued: 2026-05-10T13:34:06.111609
modified: 2026-05-10T13:34:06.063570