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ABSTRACT
<p><it>Abstract</it>—In this paper, some fundamental limitations of projective invariants of non-algebraic planar curves are discussed. It is shown that all curves within a large class can be mapped arbitrarily close to a circle by projective transformations. It is also shown that arbitrarily close to each of a finite number of closed planar curves there is one member of a set of projectively equivalent curves. Thus a continuous projective invariant on closed curves is constant. This also limits the possibility of finding so called projective normalisation schemes for closed planar curves.</p>
INDEX TERMS
Projective and affine invariants, recognition, Hausdorff metric.
CITATION
Kalle Åström, "Fundamental Limitations on Projective Invariants of Planar Curves", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 17, no. , pp. 77-81, January 1995, doi:10.1109/34.368148
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