Two-dimensional Shapes and Lemniscates

@inproceedings{EBENFELT2010TwodimensionalSA,
  title={Two-dimensional Shapes and Lemniscates},
  author={P. EBENFELT and Dmitry Khavinson and H. Shapiro},
  year={2010}
}
The newly emerging field of vision and pattern recognition focuses on the study of 2-dimensional “shapes”, i.e., simple, smooth, closed curves in the plane. A common approach to describing shapes consists of defining “natural” distances between them, embedding the shapes into a metric space and then studying the mathematical structure of the latter. Of course, the resulting metric space must faithfully represent the continuous variability of shapes and reflect in their classification a… CONTINUE READING

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