In this paper we present a 3-D model with physical properties which si
mplifies the analysis and the synthesis of deformable faces and solids
. Our model presents three relevant particularities. First, it describ
es the external envelope of faces with 1-D finite elements assembled w
ith a new 3-connected mesh topology. Second, the mesh deformations are
analysed with a modal analysis. Because our model associates these tw
o particularities, the number of rigid modes given by the modal analys
is is equal to the number of I-D finite elements, which is also the ha
lf of the number of Degrees of Freedom (DOF). This number of rigid mod
es is a basic characteristic of our model. The second half of modes co
nstitutes the nonrigid modes. Third, we use these rigid modes and the
first nonrigid mode to synthesize a mean face named a photo-fit identi
kit or class, around which we synthesize face varieties by action on s
econdary nonrigid modes. Our physical 3-D model allows compression of
face data structures because a greater number of secondary nonrigid mo
des can be suppressed to define a class or its varieties, and because
the synthesis of varieties does not need more information storage than
their classes. Our physical 3-D model allows classification of face d
ata structures because we can associate an objective measure to each s
ynthesized face. We can measure the deformation between a variety and
its photo-fit identikit. Copyright (C) 1996 Elsevier Science Ltd.