2 papers
stat.AP2017
Evaluation and Prediction of Polygon Approximations of Planar Contours for Shape Analysis
Chalani Prematilake, Leif Ellingson
Contours may be viewed as the 2D outline of the image of an object. This type of data arises in medical imaging as well as in computer vision and can be modeled as data on a manifo…
math.ST2013
Nonparametric Estimation of Means on Hilbert Manifolds and Extrinsic Analysis of Mean Shapes of Contours
Leif Ellingson, Vic Patrangenaru, Frits Ruymgaart
Motivated by the problem of nonparametric inference in high level digital image analysis, we introduce a general extrinsic approach for data analysis on Hilbert manifolds with a fo…