This work introduces the space envelope, a shape model based upon a bo
undary description. Instead of modeling a single object (OC solid), a
space envelope encloses a volume of empty space, The advantage is that
in any given view, there may be any number of objects, this number be
ing difficult to determine from pixel-data alone, However, there is al
ways one, and only one, volume of visible empty space. Once a model ha
s been constructed defining the space envelope, higher-order operation
s may be applied to reason about the scene's content. For instance, su
rface geometries and topology could yield insight into the number of v
isible objects. The enclosed empty volume may also be used for vision-
based navigation (known free-space), while the surfaces are used for v
iew correspondences. Algorithms to automatically construct a planar bo
undary representation (b-rep) space envelope from a range image are pr
esented. Results for testing the algorithms on over 400 images from fo
ur different range cameras are presented. (C) 1998 Academic Press.