Abstract
In this work we address the problem of manufacturing machine parts from sensed data. Constructing geometric models for objects from sensed data is the intermediate step in a reverse engineering manufacturing system. Sensors are usually inaccurate, providing uncertain sensed information. We construct geometric entities with uncertainty models from noisy measurements for the objects under consideration, and proceed to do reasoning on the uncertain geometries, thus, adding robustness to the construction of geometries from sensed data.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Bruderlin, B.: Detecting ambiguities: An optimistic approach to robustness problems in computational geometry, Technical Report UUCS 90-003 (submitted), Computer Science Department, University of Utah, April 1990.
Bruderlin, B.: Robust regularized set operations on polyhedra, in: Proc. of Hawaii Internat. Conf. on System Science, January 1991.
Bruderlin, B. and Fang, S.: Intuitionnistic geometry: A new approach for handling geometric robustness, submitted to Internat. J. Comput. Geometry Appl. (1992).
Durrant-Whyte, H. F.: Concerning uncertain geometry in robotics, IEEE J. Robotics Automat. (1986).
Durrant-Whyte, H. F.: Integration, Coordination and Control of Multi-Sensor Robot Systems, Kluwer Academic, Dordrecht, 1988.
Fang, S.: Robustness in geometric modeling, PhD Thesis, University of Utah, 1992.
Fang, S. and Bruderlin, B.: Robustness in geometric modeling-tolerance based methods, in: Computational Geometry-Methods, Algorithms and Applications, International Workshop on Computational Geometry CG'91, Bern, Switzerland, March 1991, Lecture Notes in Computer Science, Vol. 553, Springer, Berlin.
Fang, S. and Bruderlin, B.: Robust geometric modeling with implicit surfaces, in: Proc. of Internat. Conf. on Manufacturing Automation, Hong Kong, August 1992.
Fang, S., Bruderlin, B., and Zhu, X.: Robustness in solid modeling-a tolerance-based, intuitionistic approach, to appear in Computer-Aided Design (Special Issue on Uncertainties in Geometric Computations, August 1993).
Fang, S., Zhu, X., and Bruderlin, B.: Robustness in solid modeling-a tolerance based, intuitionistic approach, Technical Report UUCS 92-030 (submitted), Computer Science Department, University of Utah, August 1992.
Bertrand, J.: Calcul des Probabilités, Paris, 1907.
Kendall, M. and Moran, P.: Geometrical Probability, Griffin, London, 1963.
Davidson, R.: Some arithmetic and geometry in probability theory, PhD Thesis, Cambridge University, 1968.
Zhu, X.: Consistent geometric modeling approaches, Master's thesis, University of Utah, 1993.
Zhu, X., Fang, S., and Bruderlin, B.: Obtaining robust Boolean set operation for manifold solids by avoiding and eliminating redundancy, in: Proc. of 2nd Symposium on Solid Modeling and Applications, May 1993.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sobh, T.M., Zhu, XH., Brüderlin, B. et al. Analysis of Sensing Errors for Manufacturing Geometric Objects from Sensed Data. Journal of Intelligent and Robotic Systems 30, 143–153 (2001). https://doi.org/10.1023/A:1008134429719
Issue Date:
DOI: https://doi.org/10.1023/A:1008134429719