Optimal fitting of strain-controlled flattenable mesh surfaces

@article{Zhang2016OptimalFO,
  title={Optimal fitting of strain-controlled flattenable mesh surfaces},
  author={Yunbo Zhang and Charlie C. L. Wang and Karthik Ramani},
  journal={The International Journal of Advanced Manufacturing Technology},
  year={2016},
  volume={87},
  pages={2873-2887}
}
A flattenable mesh surface is a polygonal mesh surface that can be unfolded into a planar patch without stretching any polygon. This paper presents a new method for computing a slightly stretched flattenable mesh surface M from a piecewise-linear surface patch P∈R3, where the shape approximation error between M and P is minimized and the strain of stretching on M is controlled. Prior approaches result in either a flattenable surface that could be quite different from the input shape or a… 

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