A Computationally Efficient Planar Rigid Body Distance Metric
Document Type
Conference Proceeding
Language
eng
Publication Date
2009
Publisher
American Society of Mechanical Engineers
Source Publication
ASME 2009 International Mechanical Engineering Congress and Exposition
Source ISSN
9780791843833
Abstract
A means of assessing the quality of a given rigid body configuration relative to a desired position and orientation is developed. Here, the assessment is based on the desired positions of all particles that constitute the body. This measure of quality has previously been shown to meet the mathematical requirements of a metric. This metric, however, has been largely dismissed in practical application due to the difficulty in performing its calculation. This paper describes procedures to efficiently calculate this metric for planar positioning problems. A method of obtaining an analytical formulation for planar displacement for any polygonal body is presented. An approximation function for the metric is also presented. This approximation function is very easily calculated and provides an intuitive appreciation of the metric values. Calculation times for the metric for standard polygonal body geometries is on the order of 100 microseconds on a laptop computer. Calculation times for the approximation function for standard polygonal bodies is on the order of microseconds.
Recommended Citation
Schimmels, Joseph M. and Criales Escobar, Luis Ernesto, "A Computationally Efficient Planar Rigid Body Distance Metric" (2009). Mechanical Engineering Faculty Research and Publications. 178.
https://epublications.marquette.edu/mechengin_fac/178
Comments
ASME 2009 International Mechanical Engineering Congress and Exposition,Volume 10: Mechanical Systems and Control, Parts A and B,Lake Buena Vista, Florida, USA, November 13–19, 2009, Paper No. IMECE2009-11585, pages 141-146. DOI.