Volume 4, Issue 5, October 2015, Page: 41-54
Electronic Sensor Prototype to Detect and Measure Curvature Through Their Curvature Energy
Francisco Bulnes, Research Department in Mathematics and Engineering, TESCHA, and GI, Chalco, Mexico
Isaías Martínez, Electronic Engineering Division TESCHA and GI, Chalco, Mexico
Omar Zamudio, Electronic Engineering Division TESCHA, Chalco, and GI, Chalco, Mexico
Gabriel Negrete, Electronic Engineering Division GI-TESCHA, Chalco, and GI, Chalco Mexico
Received: Oct. 15, 2015;       Accepted: Oct. 23, 2015;       Published: Nov. 10, 2015
DOI: 10.11648/j.cssp.20150405.12      View  3999      Downloads  138
Abstract
Through of the concept of curvature energy, and the curvature theory on homogeneous spaces is designed and constructed an electronic sensor prototype to measure curvature in 2, and 3-dimensional spaces using the programming of shape operators in micro-controllers and the value of their energy integrals along the curves and geodesics in their principal directions. The curvature obtained under the sensor device is their spectral curvature given in voltage in 2- and 3-dimensions and their perception of curvature through electronic signals on a curved surface is the curvature energy that is detected in the displacement of an accelerometer on the curved surface.
Keywords
Curvature Energy, Energy Spectrum of Curvature, Gaussian Curvature, Principal Curvatures, Curvature Accelerometer Detection
To cite this article
Francisco Bulnes, Isaías Martínez, Omar Zamudio, Gabriel Negrete, Electronic Sensor Prototype to Detect and Measure Curvature Through Their Curvature Energy, Science Journal of Circuits, Systems and Signal Processing. Vol. 4, No. 5, 2015, pp. 41-54. doi: 10.11648/j.cssp.20150405.12
Copyright
Copyright © 2015 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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