ArticleCommunications in numerical methods in engineering2007
Surface Smoothing and Quality Improvement of Quadrilateral/Hexahedral Meshes with Geometric Flow.
Article in Communications in numerical methods in engineering, 2007. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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Who cites it
9 citing papers in PubMed.
- VolRoverN: enhancing surface and volumetric reconstruction for realistic dynamical simulation of cellular and subcellular function.Neuroinformatics · 2014Article
- Multiscale geometric modeling of macromolecules I: Cartesian representation.Journal of computational physics · 2014Article
- Multiscale Multiphysics and Multidomain Models I: Basic Theory.Journal of theoretical & computational chemistry · 2013Article
- A three-dimensional finite element model of human atrial anatomy: new methods for cubic Hermite meshes with extraordinary vertices.Medical image analysis · 2013Article
- High-order fractional partial differential equation transform for molecular surface construction.Molecular based mathematical biology · 2013Article
- Geometric modeling of subcellular structures, organelles, and multiprotein complexes.International journal for numerical methods in biomedical engineering · 2012Article
- An atlas-based geometry pipeline for cardiac Hermite model construction and diffusion tensor reorientation.Medical image analysis · 2012Article
- Biomolecular surface construction by PDE transform.International journal for numerical methods in biomedical engineering · 2012Article
- Variational multiscale models for charge transport.SIAM review. Society for Industrial and Applied Mathematics · 2012Article
Corrections and comments
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Authors and funding
3 authors.
Funding
Abstract
This paper describes an approach to smooth the surface and improve the quality of quadrilateral/hexahedral meshes with feature preserved using geometric flow. For quadrilateral surface meshes, the surface diffusion flow is selected to remove noise by relocating vertices in the normal direction, and the aspect ratio is improved with feature preserved by adjusting vertex positions in the tangent direction. For hexahedral meshes, besides the surface vertex movement in the normal and tangent directions, interior vertices are relocated to improve the aspect ratio. Our method has the properties of noise removal, feature preservation and quality improvement of quadrilateral/hexahedral meshes, and it is especially suitable for biomolecular meshes because the surface diffusion flow preserves sphere accurately if the initial surface is close to a sphere. Several demonstration examples are provided from a wide variety of application domains. Some extracted meshes have been extensively used in finite element simulations.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.