The Flattening of Triangulated Surfaces Incorporating Darts and Gussets
McCartney, J., B.K. Hinds, B.L. Seow
Computer-Aided Design, Elsevier Science, Num 31, pp.249-260, 1999
School of Mechanical and Manufacturing Engineering,
The Queen's University of Belfast, Belfast, Northern Ireland
Abstract
The problem of deriving patterns from 3D surfaces is described. An algorithm is
presented for the flattening of 3D surfaces described in terms of a list of
triangles. The algorithm incorporates an energy model in terms of the strain
energy required to deform the edges of the triangular mesh. Also considered is
the problem of arbitrarily siting darts or gussets to assist in the fitting
process. The operation of the algorithm is demonstrated by fitting patterns to a
classical geometric shape. The sensitivity of the final pattern to the
algorithm's parameters is examined. Results are presented which quantify the
strain energy reductions as a result of inserting darts or gussets in the
pattern.
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