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Conference Paper

Controlled field generation for quad-remeshing


Schall,  Oliver
Computer Graphics, MPI for Informatics, Max Planck Society;

Zayer,  Rhaleb
Computer Graphics, MPI for Informatics, Max Planck Society;

Seidel,  Hans-Peter
Computer Graphics, MPI for Informatics, Max Planck Society;

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Schall, O., Zayer, R., & Seidel, H.-P. (2008). Controlled field generation for quad-remeshing. In E. Haines, & M. McGuire (Eds.), Proceedings SPM 2008: ACM Solid and Physical Modeling Symposium (pp. 295-300). New York, NY: ACM.

Cite as:
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.