Parametric estimation of affine deformations of planar shapes

Parametric estimation of affine deformations of planar shapes

Article history: Received 27 October 2008 Received in revised form 5 August 2009 Accepted 15 August 2009

Parametric Estimation of Affine Deformations

We consider the estimation of affine transformations aligning a known 2D shape and its distorted observation. The classical way to solve this registration problem is to find correspondences between the shapes and then compute the transformation parameters from these landmarks. Here we propose a novel approach where the exact transformation is obtained as the solution of a polynomial system of e...

Recovering Affine Deformations of Fuzzy Shapes

Fuzzy sets and fuzzy techniques are attracting increasing attention nowadays in the field of image processing and analysis. It has been shown that the information preserved by using fuzzy representation based on area coverage may be successfully utilized to improve precision and accuracy of several shape descriptors; geometric moments of a shape are among them. We propose to extend an existing ...

Parametric Estimation of A ne Deformations without Correspondences

Nonparametric Estimation for Extrinsic Mean Shapes of Planar Contours

In this paper we consider an extrinsic approach to analyzing direct similarity shapes of planar contours. We adapt Kendall’s definition of direct similarity shapes of planar k-ads to shapes of planar contours, under certain regularity conditions, and Ziezold’s nonparametric view on Fréchet mean shapes ([43]). The space of direct similarity shapes of planar simple closed curves is embedded in a ...