Part of my research evolves around geometric modelling with some topics related to computer graphics and vision. A particular direction is reverse engineering in the sense of generating computational descriptions of artefacts and natural objects and detecting patterns in the measured data suitable for analysis, modification and simulation applications. I am also working on point-based modelling, curves and surfaces, mesh processing, and related issues in differential and computational geometry.
F. C. Langbein. Beautification of Reverse Engineered Geometric Models. PhD Thesis, Department of Computer Science, Cardiff University, June 2003. [DOI:10.13140/RG.2.1.1061.7688] [PDF] [LaTeX (tar.gz)] [LaTeX (tar.bz2)]
C. H. Gao, F. C. Langbein, A. D. Marshall, R. R. Martin. Approximate Congruence Detection of Model Features for Reverse Engineering. In: M.-S. Kim (ed), Proc. Int. Conf. Shape Modelling and Applications, IEEE Computer Society, pp. 69-77, 2003. [DOI:10.1109/SMI.2003.1199603] [PDF]
F. C. Langbein. Strategies for Beautification of Complex Geometric Models. Geometric Modelling Society Meeting, Bath University, 27th November, 2002. [PDF]
The following software detects approximate symmetries for design intent detection. It has been implemented on Linux in C++ (gcc 3.3) and Matlab using OpenCascade 5.2. Software for Approximate Symmetry Detection If you use this code please cite one of these publications:
F. C. Langbein, A. D. Marshall, R. R. Martin. Numerical Methods for Beautification of Reverse Engineered Geometric Models. Geometric Modeling and Processing, Wako, Japan, 10-12 July, 2002. [PDF]
F. C. Langbein, A. D. Marshall, R. R. Martin. Numerical Methods for Beautification of Reverse Engineered Geometric Models. In: H. Suzuki, R. R. Martin (eds), Proc. Geometric Modeling and Processing, IEEE Computer Society, pp. 159-168, 2002. [DOI:10.1109/GMAP.2002.1027507] [PDF]
F. C. Langbein, A. D. Marshall, R. R. Martin. Towards Choosing Consistent Geometric Constraints. Geometric Modelling Society Meeting, Cardiff University, 27th March, 2002. [PDF]
F. C. Langbein, B. I. Mills, A. D. Marshall, R. R. Martin. Finding Approximate Shape Regularities for Reverse Engineering. J. Computing and Information Science in Engineering, 1(4): 282-290, 2001. [DOI:10.1115/1.1430232] [PDF]
F. C. Langbein, B. I. Mills, A. D. Marshall, R. R. Martin. Recognizing Geometric Patterns for Beautification of Reconstructed Solid Models. In: Proc. Int. Conf. Shape Modelling and Applications, IEEE Computer Society, pp. 10-19, 2001. [DOI:10.1109/SMA.2001.923370] [PDF]