非表示:
キーワード:
-
要旨:
Surface fairing, generating free-form surfaces satisfying aesthetic
requirements,
is important for many computer graphics and geometric modeling
applications. A
common approach for fair surface design consists of minimization of
fairness
measures penalizing large curvature values and curvature oscillations. The
paper
develops a numerical approach for fair surface modeling via
curvature-driven
evolutions of triangle meshes. Consider a smooth surface each point of
which
moves in the normal direction with speed equal to a function of curvature
and
curvature derivatives. Chosen the speed function properly, the evolving
surface
converges to a desired shape minimizing a given fairness measure. Smooth
surface evolutions are approximated by evolutions of triangle meshes. A
tangent
speed component is used to improve the quality of the evolving mesh and to
increase computational stability. Contributions of the paper include also
an
improved method for estimating the mean curvature.
