Segmentation through Variable-Order Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Extracting geometric primitives
CVGIP: Image Understanding
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Fast segmentation of range images into planar regions by scan line grouping
Machine Vision and Applications
Experiments in Curvature-Based Segmentation of Range Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
A geometric concept of reverse engineering of shape: approximation and feature lines
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Computing natural division lines on free-form surfaces based on measured data
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
A survey of methods for recovering quadrics in triangle meshes
ACM Computing Surveys (CSUR)
Multi-resolution and slice-oriented feature extraction and segmentation of digitized data
Proceedings of the seventh ACM symposium on Solid modeling and applications
Plumber: a method for a multi-scale decomposition of 3D shapes into tubular primitives and bodies
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
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An important aspect of reverse engineering is the production of digital representations of physical objects for CAD systems. The first stage involves taking 3D coordinate measurements for points on the surface of the object and producing in general an unstructured set of points, called a point cloud. A triangulated surface can be generated from such a point cloud, allowing copies of the original object to be manufactured. However, these triangulated surfaces generally consist of a very large number of triangles with small errors in the positions of their vertices. In many cases the original object is made up of parts of a number of simple geometric objects. Our aim is to segment the triangulated surface into a small number of components, each of which approximates to part of a simple geometric shape. We have developed algorithms for curvature estimation in order to support a 'region growing' method of segmentation.