Related Experiment Video
Updated: May 29, 2026

Super-resolution Imaging of Neuronal Dense-core Vesicles
Published on: July 2, 2014
On the detection of peaks and valleys using the local descriptors method
1Department of Electrical Engineering, University of Arkansas, Fayetteville, Arkansas 72701.
Abstract:
In this correspondence it is demonstrated that the derivative of the angle with respect to an arbitrary independent parameter cannot in general be used to find peaks and valleys of a shape. It is then shown, using concepts from differential geometry, that curvature corresponds to the derivative of the angle with respect to an independent variable if and only if the angle is deflned as a single variable. It is further shown that peaks and valleys detected using curvature as a criterion are insufficient to completely describe a shape.
Related Concept Videos
Methods of Obtaining Topography
Differential Leveling
Introduction and Methods of Leveling
Linear Approximation in Frequency Domain
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear.
IR Spectrum Peak Splitting: Symmetric vs Asymmetric Vibrations
Principal Moments of Area
The principal moment of inertia axes are the...
