1992
@incollection{VMP1992,
vgclass = {refpap},
vgproject = {invariance},
author = {Van Gool, Luc J. and Theo Moons and Eric Pauwels and
Andr\'{e} Oosterlinck},
title = {Semi-Differential Invariants},
editor = {Joseph Mundy and Andrew Zisserman},
booktitle = {Geometric Invariance in Computer Vision},
address = {Cambridge, MA, USA},
series = {Series: Artificial intelligence},
pages = {157--192},
publisher = {The MIT Press},
year = {1992},
abstract = {We describe algorithms for the detection of similarities
between planar contours. Perspective projection is assumed, which
implies that the 3D similarity transformations between the original
contours take the form of 2D projective transformations in the image.
Examples of tasks envisaged are object recognition and symmetry
detection. The problems are tackled by generating contour descriptions
which remain invariant under the projective transformations.
Traditional approaches to this problem are briefly reviewed. We argue
that a compromise between correspondence search and numerical
differentiation leads to a compelling class of invariants, which we
call ``semi-differential''. They are situated in what we regard as a
vast wasteland between algebraic and differential geometry, and which
seems highly promising for vision applications in general.},
}