Related Experiment Video
Updated: May 11, 2026

Precision Measurements and Parametric Models of Vertebral Endplates
Published on: September 17, 2019
Area-Based Medial Axis of Planar Curves
Marc Niethammer1, Santiago Betelu, Guillermo Sapiro
1Department of Electrical and Computer Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0250, USA.
Abstract:
A new definition of affine invariant medial axis of planar closed curves is introduced. A point belongs to the affine medial axis if and only if it is equidistant from at least two points of the curve, with the distance being a minimum and given by the areas between the curve and its corresponding chords. The medial axis is robust, eliminating the need for curve denoising. In a dynamical interpretation of this affine medial axis, the medial axis points are the affine shock positions of the affine erosion of the curve. We propose a simple method to compute the medial axis and give examples. We also demonstrate how to use this method to detect affine skew symmetry in real images.
Related Concept Videos
Bending of Curved Members - Neutral Surface
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
Plastic Deformations of Members with a Single Plane of Symmetry
Bending of Curved Members - Strain Analysis
The important part of bending analysis for such a member is the...
Deformations in a Symmetric Member in Bending
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
Unsymmetric Bending - Angle of Neutral Axis
When a bending moment is applied at an angle θ concerning the vertical axis of a symmetrical member, it can be resolved into components along the member's principal centroidal axes. The...
Curve Equations
