The generalization of the paper maché-like technique of covering surfaces with strips to industrial applications like building shells and ship hulls has not been fully realized. In participate, the problem of covering any curved surface with strips of material has been addressed but not solved in the general case. Most of the applicable research focuses either on using parameterizations that inevitably introduce cutting and/or stretching or using developable surfaces rather than strips.
Automated Systems Research (ASR) has been supplying software to the roofing estimation market for close to 20 years. While the lack of competition in this niche market has provided for a steady ongoing business opportunity, it has created a vacuum of research in this area. One of the recurring research problems at ASR is that of generating the entire surface of a sloped roof given the building’s polygonal outline and also the roof slope angle at each outline edge.
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