Related Experiment Video
Updated: May 29, 2026

Experimental and Data Analysis Workflow for Soft Matter Nanoindentation
Published on: January 18, 2022
Filtering closed curves
1Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, MA 02139.
Abstract:
A closed curve in the plane can be described in several ways. We show that a simple representation in terms of radius of curvature versus normal direction has certain advantages. In particular, convolutional filtering of the extended circular image leads to a closed curve. Similar filtering operations applied to some other representations of the curve do not guarantee that the result corresponds to a closed curve. In one case, where a closed curve is produced, it is smaller than the original. A description of a curve can be based on a sequence of smoothed versions of the curve. This is one reason why smoothing of closed curves is of interest.
More Related Videos
09:36A Magnetic Resonance Imaging-based Computational Protocol for Analysis of Plaque Morphology and Hemodynamics in Patients with Carotid Artery Stenosis
Published on: August 12, 2025
13:02Three-dimensional Particle Tracking Velocimetry for Turbulence Applications: Case of a Jet Flow
Published on: February 27, 2016
Related Concept Videos
Introduction to Horizontal Curves
Horizontal Curve: Problem Solving
Area Between Curves: Problem Solving
Curve Sketching and Derivatives
Guidelines for Sketching a Curve
Introduction to Vertical Curves