Planar Development of Free-Form Surfaces: Quality Evaluation and Visual Inspection

Surface flattening is a crucial problem for many applications as indicated by the steady flow of new methods appearing in related publications. Quality control of these methods, by means of ``accuracy criteria'' independent of particular flattening methodologies, has not been addressed yet by researchers. This is exactly the subject of this paper: a detailed analysis of flattening is presented leading to geometric and physics-based criteria. These are implemented in intuitively-acceptable visualization techniques, which are applied to practical examples. AMS Subject Classifications: 68U05, 68U07, 68U20, 65D17, 65D18.

• Type: Journal
• Year: 2004
• Where: COMPUTING
• Authors: Phillip N. Azariadis, Nickolas S. Sapidis
• Keywords: COMPUTING 2004, Crucial Problem, Flattening, Particular Flattening Methodologies