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Controlled field generation for quad-remeshing

Published: 02 June 2008 Publication History

Abstract

Quadrangular remeshing of triangulated surfaces has received an increasing attention in recent years. A particularly elegant approach is the extraction of quads from the streamlines of a harmonic field. While the construction of such fields is by now a standard technique in geometry processing, enforcing design constraints is still not fully investigated. This work presents a technique for handling directional constraints by directly controlling the gradient of the field. In this way, line constraints sketched by the user or automatically obtained as feature lines can be fulfilled efficiently. Furthermore, we show the potential of quasi-harmonic fields as a flexible tool for controlling the behavior of the field over the surface. Treating the surface as an inhomogeneous domain we can endow specific surface regions with field attraction/repulsion properties.

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cover image ACM Conferences
SPM '08: Proceedings of the 2008 ACM symposium on Solid and physical modeling
June 2008
423 pages
ISBN:9781605581064
DOI:10.1145/1364901
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Publication History

Published: 02 June 2008

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Author Tags

  1. conductivity
  2. field control
  3. gradient constraints
  4. harmonic fields
  5. quad-remeshing
  6. quasi-harmonic fields

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Cited By

View all
  • (2022)Automatically recognize and segment morphological features of the 3D vertebra based on topological data analysisComputers in Biology and Medicine10.1016/j.compbiomed.2022.106031149:COnline publication date: 1-Oct-2022
  • (2020)Discrete Poincaré Duality Angles as Shape Signatures on Simplicial Surfaces with BoundaryTopological Methods in Data Analysis and Visualization V10.1007/978-3-030-43036-8_16(251-263)Online publication date: 11-Dec-2020
  • (2018)Layered fields for natural tessellations on surfacesACM Transactions on Graphics10.1145/3272127.327507237:6(1-15)Online publication date: 4-Dec-2018
  • (2012)Interactive Quadrangulation with Reeb Atlases and Connectivity TexturesIEEE Transactions on Visualization and Computer Graphics10.1109/TVCG.2011.27018:10(1650-1663)Online publication date: 1-Oct-2012
  • (2011)Inspired quadrangulationComputer-Aided Design10.1016/j.cad.2011.08.02043:11(1516-1526)Online publication date: 1-Nov-2011
  • (2010)Shape comparison through mutual distances of real functionsProceedings of the ACM workshop on 3D object retrieval10.1145/1877808.1877816(33-38)Online publication date: 25-Oct-2010
  • (2009)Technical SectionComputers and Graphics10.1016/j.cag.2009.03.02233:3(391-398)Online publication date: 1-Jun-2009

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