Geometry

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.

2008: Density-controlled low-discrepancy sampling and meshing of 3D geometric models. The Nuffield Foundation, Undergraduate Research Bursary 35473. F. C. Langbein, K. S. Sullivan. £1,400.

Density-controlled low-discrepancy sampling and meshing of 3D geometric models

6th June 2008 in Sampling tagged funding

sun2008a — Xianfang Sun, Paul L. Rosin, Ralph R. Martin, Frank C. Langbein. Noise in 3D Laser Range Scanner Data. In: Proc. IEEE Conf. Shape Modelling and Applications, IEEE Computer Society, p. 37-45, 2008. [DOI:10.1109/SMI.2008.4547945] [PDF]

Noise in 3D Laser Range Scanner Data

4th June 2008 in Mesh Filtering tagged publication

F. C. Langbein, M. Li, R. R. Martin. A Comment on ‘Constructing Regularity Feature Trees for Solid Models’. In: Advances in Geometric Modeling and Processing, Proc. Geometric Modelling and Processing, Springer LNCS, 4975:603, 2008. [DOI:10.1007/978-3-540-79246-8_53] [PDF]

A Comment on ‘Constructing Regularity Feature Trees for Solid Models’

23rd April 2008 in Design Intent Detection tagged publication

paint — Finlay N. McPherson, Jonathan A. Quinn, Jonathan Corney, Frank C. Langbein, Ralph R. Martin. Uniform Surface Point Sampling for Direct Write Applications.

Uniform Surface Point Sampling for Direct Write Applications

17th March 2008 in Sampling tagged article

li2008 — M. Li, F. C. Langbein, R. R. Martin. Detecting Approximate Symmetries of Discrete Point Subsets. Computer-Aided Design, 40(1):76-93, 2008. [DOI:10.1016/j.cad.2007.06.007] [PDF]

Detecting Approximate Symmetries of Discrete Point Subsets

1st January 2008 in Design Intent Detection tagged publication

Low-Discrepancy Sampling This is the PhD work of Jonathan Quinn about creating low-discrepancy sampling sequwnces of surfaces utilising space-filling curves. This has been applied to point-based rendering, remeshing and robotic painting (in collaboration with Jonathan Corney and Finlay McPherson). Jonathan’s supervisors are Frank Langbein and Ralph Martin.

Point Sampling

21st December 2007 in Sampling tagged article

The following software detect approximate regularities for design intent detection. It has been implemented on Linux in C++ (gcc 3.3) and Matlab using OpenCascade 5.2. Software for Approximate Regularity Detection If you use this code please cite one of these publications:

Approximate Regularity Detection

20th July 2007 in Design Intent Detection tagged code

The following software constructs regularity feature trees for design intent detection. It has been implemented on Linux in C++ (gcc 3.3) and Matlab using OpenCascade 5.2. Melon.tar.gz If you use this code please cite one of these publications: