The Community for Technology Leaders
Green Image
<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>
Projective and affine invariants, recognition, Hausdorff metric.
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
105 ms
(Ver 3.1 (10032016))