Community Research and Development Information Service - CORDIS

Report on the evolution of symmetry sets of 3D shapes

All the results produced by the Liverpool team are theoretical, as envisaged in the original proposal.

Deliverable 34 is a first investigation of 'pre-symmetry sets' of surfaces in 3D space. The idea here is that the symmetry set is too complex but contains much valuable information not present in the medial axis, therefore some construction more primitive than the symmetry set is in order. Many results are obtained on the local structure of pre-symmetry sets, particularly of their local parameterisations. This deliverable also contains the latest information on symmetry sets of families of surfaces in 3-space.

These theoretical results are not directly applicable to technology. That will be a later stage for someone else to consider.

Reported by

The University of Liverpool
Department of Mathematical Sciences, Peach Street
L69 7ZL Liverpool
United Kingdom
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