Shape from texture: estimation, isotropy and moments
Artificial Intelligence
Geometric invariance in computer vision
Geometric invariance in computer vision
The non-existence of general-case view-invariants
Geometric invariance in computer vision
Affine and projective normalization of planar curves and regions
ECCV '94 Proceedings of the third European conference on Computer Vision (Vol. II)
Isoperimetric Normalization of Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Canonical Frames for Planar Object Recognition
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Projective Evolution of Plane Curves
International Journal of Computer Vision
Invariant Fitting of Planar Objects by Primitives
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
An A Contrario Decision Method for Shape Element Recognition
International Journal of Computer Vision
Combining Points and Tangents into Parabolic Polygons
Journal of Mathematical Imaging and Vision
On the Role of Contrast and Regularity in Perceptual Boundary Saliency
Journal of Mathematical Imaging and Vision
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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.