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.
N. Rahimi, P. Kerfriden, F. C. Langbein, R.R. Martin. CAD Model simplification error estimation for electrostatics problems. SIAM J. Sci. Comput. 40(1):B196–B227, 2018. [DOI:10.1137/16M1078641] [arXiv:1606.02223] [PDF]
This code is an extension to PostgreSQL for finding CAD features efficiently. Development of this code has been supported by the Marie Curie Initial Training Network INSIST, funded by the 7th EU Framework Programme (FP7) under grant agreement n° 289361.
This code is to estimate the simplification error. It’s an an extension to ngsolve / netgen to estimate the effect of model simplifications on a quantity of interest aimed at electrostatics problems.
Z Niu, RR Martin, MA Sabin, FC Langbein, JH Bucklow. Applying Database Optimization Technologies to Feature Recognition in CAD. Computer-Aided Design and Applications 12(3):373-382, 2015.
Z.-B. Niu, R. R. Martin, F. C. Langbein, M. A. Sabin. Rapidly Finding CAD Features Using Database Optimisation. Computer Aided Design, 69:35-50, 2015. [DOI:10.1016/j.cad.2015.08.001] [PDF]
Xianfang Sun, Paul L. Rosin, Ralph R. Martin, Frank C. Langbein. Noise in 3D Laser Range Scanner Data. IEEE Conf. Shape Modelling and Applications, 4-6 June 2008. [PDF]
Z. Niu, R. R. Martin, M. A. Sabin, F. C. Langbein, J. H. Bucklow. Applying Database Optimization Technologies to Feature Recognition in CAD. Extended Abstract. International CAD Conference and Exhibition (CAD’14), Hong Kong University of Science and Technology, June 23-26, 2014. [DOI:10.14733/cadconfP.2014.87-89][PDF]
J.A. Quinn, F. C. Langbein, Y.-K. Lai, R. R. Martin. Fast Low-discrepancy Sampling of Parametric Surfaces and Meshes. Proc. Maths of Surfaces XIV (CD ROM), Institute of Mathematics and its Applications, 2013. [DOI:10.13140/RG.2.1.2012.0408] [PDF]
J.A. Quinn, F. C. Langbein, Y.-K. Lai, R. R. Martin. Generalised Anisotropic Stratified Surface Sampling. IEEE Trans. Visualization and Computer Graphics 19 (7), 1143-1157, 2013. [DOI:10.1109/TVCG.2012.305] [PDF]
J. Wu, R. R. Martin, P. L. Rosin, X-F. Sun, F. C. Langbein, Y.-K. Lai, A. D. Marshall, Y.-H. Liu. Making Bas-reliefs from Photographs of Human Faces. Computer Aided Design 45(3):671-682, 2013. [DOI:10.1016/j.cad.2012.11.002] [PDF]
G. K. L. Tam, Z.-Q. Cheng, Y.-K. Lai, F. C. Langbein, Y.-H. Liu, A. D. Marshall, R. R. Martin, P. L. Rosin, X-F. Sun. Registration of 3D Point Clouds and Meshes: A Survey From Rigid to Non-Rigid. IEEE Trans. Visualization and Computer Graphics 19(7):1199-1217, 2013. [DOI:10.1109/TVCG.2012.310] [PDF]