Instant field-aligned meshes

Jakob, Wenzel; Tarini, Marco; Panozzo, Daniele; Sorkine‐Hornung, Olga

doi:10.1145/2816795.2818078

Cited by 271 publications

(313 citation statements)

References 60 publications

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“…However, the performance of their clusterbased method is highly dependent on the quality of the input, and the sharp features might not be well preserved when users specify a small vertex budget. Jakob et al [37] propose a general framework for isotropic triangular/quaddominant remeshing using a unified local smoothing operator, in which the edges naturally align to sharp features. However, little attention is paid on the approximation error and element quality.…”

Section: Related Workmentioning

confidence: 99%

Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement

Yan

Bommes

et al. 2017

IEEE Trans. Visual. Comput. Graphics

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Abstract-The typical goal of surface remeshing consists in finding a mesh that is (1) geometrically faithful to the original geometry, (2) as coarse as possible to obtain a low-complexity representation and (3) free of bad elements that would hamper the desired application. In this paper, we design an algorithm to address all three optimization goals simultaneously. The user specifies desired bounds on approximation error δ, minimal interior angle θ and maximum mesh complexity N (number of vertices). Since such a desired mesh might not even exist, our optimization framework treats only the approximation error bound δ as a hard constraint and the other two criteria as optimization goals. More specifically, we iteratively perform carefully prioritized local operators, whenever they do not violate the approximation error bound and improve the mesh otherwise. Our optimization framework greedily searches for the coarsest mesh with minimal interior angle above θ and approximation error bounded by δ. Fast runtime is enabled by a local approximation error estimation, while implicit feature preservation is obtained by specifically designed vertex relocation operators. Experiments show that our approach delivers high-quality meshes with implicitly preserved features and better balances between geometric fidelity, mesh complexity and element quality than the state-of-the-art.Index Terms-surface remeshing, error-bounded, feature preserving, minimal angle improvement, feature intensity.

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Section: Related Workmentioning

confidence: 99%

Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement

Yan

Bommes

et al. 2017

IEEE Trans. Visual. Comput. Graphics

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“…For example, representative works include mesh simplification-based methods [8,9], advancingfront-based method [10], Delaunay insertion methods [11], field-based approaches [12][13][14], and mesh optimization with either local operations [15][16][17][18] or global energy minimization. Global optimization approaches can be further classified as parametrization-based methods [2,19,20], discrete clustering methods [4], and direct 3D optimization methods [3,[21][22][23][24][25][26][27].…”

Section: Related Workmentioning

confidence: 99%

Surface remeshing with robust user-guided segmentation

et al. 2018

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Surface remeshing is widely required in modeling, animation, simulation, and many other computer graphics applications. Improving the elements' quality is a challenging task in surface remeshing. Existing methods often fail to efficiently remove poor-quality elements especially in regions with sharp features. In this paper, we propose and use a robust segmentation method followed by remeshing the segmented mesh. Mesh segmentation is initiated using an existing Live-wire interaction approach and is further refined using local mesh operations. The refined segmented mesh is finally sent to the remeshing pipeline, in which each mesh segment is remeshed independently. An experimental study compares our mesh segmentation method as well as remeshing results with representative existing methods. We demonstrate that the proposed segmentation method is robust and suitable for remeshing.

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“…The retopology process is available both in open source packages such InstantMeshes [13] or Blender, or in commercial software packages such as ZBrush by Pixologic. Here, the software ZBrush was used.…”

Section: Retopologymentioning

confidence: 99%

A New Methodology for the Structural Analysis of 3D Digitized Cultural Heritage through FEA

Barsanti

Guidi

2018

IOP Conf. Ser.: Mater. Sci. Eng.

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Abstract. Finite Elements Analysis (FEA) is widely used for modelling stress behaviour in any mechanical system. The processing workflow starts from CAD 3D models representing the ideal shape of the object to be simulated. Such models are typically made of mathematical elements defining its geometrical components. Those are pre-processed before the simulation for creating a volumetric mesh out of the CAD model. Recently the use of FEA has also been extended to the simulation of ancient structures and artefacts, revealing significant potentialities for the conservation of Cultural Heritage. Unlike modern mechanical systems, heritage objects are usually altered by the time passed since their original creation, and the representation with a schematic CAD model may introduce an excessive level of approximation leading to wrong simulation results. In the last two decades, 3D documentation of CH has been developed through reality-based approaches. However, the related mesh models of the exterior surfaces are not proper for direct use in FEA. Such high-resolution surface meshes has to be converted to volumetric meshes made of tetrahedral or hexahedral elementary volumes and a limited number of external and internal nodes. The focus of this paper is on a new method aiming at generating the best possible 3D solid representation of a real artefact from its accurate reality-based surface model by reducing its number of nodes of several orders of magnitude while maintaining a geometrical coherence in the order of the measurement uncertainty of the 3D capturing technique used. The approach proposed is based on wise use of retopology procedures and a transformation of this retopologized model to a mathematical one made by NURBS surfaces, suitable for being processed by a volumetric mesh generator typically embedded in any standard FEM package. The resulting volumetric mesh allows obtaining FEA of ancient structures, providing a far better accurate simulation than those attainable by a rough CAD redrawing of the heritage asset of interest.

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Instant field-aligned meshes

Cited by 271 publications

References 60 publications

Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement

Error-Bounded and Feature Preserving Surface Remeshing with Minimal Angle Improvement

Surface remeshing with robust user-guided segmentation

A New Methodology for the Structural Analysis of 3D Digitized Cultural Heritage through FEA

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