Shape matching using set of curve geometric invariant point
Date issued
2005
Journal Title
Journal ISSN
Volume Title
Publisher
Václav Skala - UNION Agency
Abstract
We introduce a non-iterative geometric-based method for shape matching using a novel set of geometric
landmarks residing on a 2D contours. These landmarks are intrinsic and are computed from the differential
geometry of the curve. We exploit the invariant properties of geometric landmarks that are local and preserved
under the affine and some perspective transformation. Geometric invariant exploits coplanar five-point invariant
and ration of area constructed from a sequence of consecutive landmarks. These invariants are preserved not
only in affine map but weak perspective map as well. To reduce the sensitivity of the landmarks to noise, we
use a B-Spline surface representation that smoothes out the curve prior to the computation of the landmarks. The
matching is achieved by establishing correspondences between the landmarks after a conformal sorting based on
derived absolute invariant and registering the contours. The experiments have shown that the purposed methods
are robust and promising even in the presence of noise.
Description
Subject(s)
geometrický invariant, afinní invariant, B-drážka
Citation
WSCG '2005: Short Papers: The 13-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2005 in co-operation with EUROGRAPHICS, p. 141-144.