Some range scanning methods, including stereopsis, are capable of meas
uring not only an object's shape but also its surface texture. General
ly, measured shape data are expressed as a polyhedron whose faces are
triangles, and object-surface texture is represented by the set of col
or data for each of the vertices of the triangles. However, such data
expression are not suitable for the creation of computer graphics imag
es, because conventional texture mapping proceeds from images (commonl
y referred to as texture maps.) Proposed here is an algorithm that tra
nsforms object-surface texture data into a texture map. First, the alg
orithm reduces the number of triangles in the polyhedron while preserv
ing almost all the color data that the polyhedron originally contained
. Then, the algorithm unfolds the simplified triangle mesh into a plan
e, and generates a texture map from the unfolded triangle mesh. The al
gorithm can preserve the whole texture of an object, no matter how com
plex its shape, an advantage over the conventional cylindrical approac
h for texture expression. Furthermore, since almost all color data are
retained, a realistic object image can be created with only a relativ
ely small number of triangles.