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.
X.-F. Sun, P. L. Rosin, R. R. Martin, F. C. Langbein. Random Walks for Mesh Denoising. In: Proc. ACM Symp. Solid and Physical Modeling, pp. 11-22, ACM Siggraph 2007. [DOI:10.1145/1236246.1236252] [PDF]
S.-L. Liu, R. R. Martin, F. C. Langbein, P. L. Rosin. Segmenting Geometric Reliefs from Textured Background Surfaces. Computer-Aided Design and Applications, 4(5):565-583, 2007. [DOI:10.1080/16864360.2007.10738492] [Published] [PDF]
S. Liu, R. R. Martin, F. C. Langbein, P. L. Rosin. Background Surface Estimation for Reverse Engineering of Reliefs. Int. J. CAD/CAM, 7(4), 2007. [Published] [PDF]
J. A. Quinn, F. C. Langbein, R. R. Martin. Low-Discrepancy Sampling of Meshes for Rendering. In: Proc. Symp. Point-Based Graphics, Eurographics Assocication, pp. 19-28, 2007. [DOI:10.2312/SPBG/SPBG07/019-028] [PDF]
M. Li, X.-S. Gao, S.-C. Chou. Quadratic Approximation to Plane Parametric Curves and its Application in Approximate Implicitization. The Visual Computer, 22(9-11):906-917, 2006. [DOI:10.1007/s00371-006-0075-6]