IEEE Transactions on Pattern Analysis and Machine Intelligence
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Penalty functions, Newton's method, and quadratic programming
Journal of Optimization Theory and Applications
Optimal combination and constraints for geometrical sensor data
International Journal of Robotics Research - Special Issue on Sensor Data Fusion
Genetic algorithms + data structures = evolution programs (3rd ed.)
Genetic algorithms + data structures = evolution programs (3rd ed.)
An Experimental Comparison of Range Image Segmentation Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Smoothly Constrained Kalman Filter
IEEE Transactions on Pattern Analysis and Machine Intelligence
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Modelling Objects having Quadric Surfaces Incorporating Geometric cCnstraints
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Quality Enhancement of Reconstructed 3D Models Using Coplanarity and Constraints
Proceedings of the 24th DAGM Symposium on Pattern Recognition
Topological and geometric beautification of reverse engineered geometric models
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Geometrical position tolerance assignment in reverse engineering
International Journal of Computer Integrated Manufacturing
GlobFit: consistently fitting primitives by discovering global relations
ACM SIGGRAPH 2011 papers
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This paper deals with the reconstruction of three-dimensional (3D) geometric shapes based on observed noisy 3D measurements and multiple coupled nonlinear shape constraints. Here a shape could be a complete object, a portion of an object, a part of a building etc. The paper suggests a general incremental framework whereby constraints can be added and integrated in the model reconstruction process, resulting in an optimal trade-off between minimization of the shape fitting error and the constraint tolerances. After defining sets of main constraints for objects containing planar and quadric surfaces, the paper shows that our scheme is well behaved and the approach is valid through application on different real parts. This work is the first to give such a large framework for the integration of numerical geometric relationships in object modeling from range data. The technique is expected to have a great impact in reverse engineering applications and manufactured object modeling where the majority of parts are designed with intended feature relationships.