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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.