A local smoothing operator applied in the reverse direction is used to
obtain planar shape enhancement and exaggeration. Inversion of a smoo
thing operator is an inherently unstable operation. Therefore, a stabl
e numerical scheme simulating the inverse smoothing effect is introduc
ed. Enhancement is obtained for short time spans of evolution. Carryin
g the evolution further yields shape exaggeration or caricaturization
effect. Introducing attraction forces between the evolving shape and t
he initial one yields an enhancement process that converges to a stead
y state. These forces depend on the distance of the evolving curve fro
m the original one and on local properties. Results of applying the un
restrained and restrained evolution on planar shapes, based on a stabi
lized inverse geometric heat equation, are presented showing enhanceme
nt and caricaturization effects. (C) 1998 Academic Press.