A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
A simple and efficient algorithm for determining the symmetries of polyhedra
CVGIP: Graphical Models and Image Processing
Direct integration of reverse engineering and rapid prototyping
Computers and Industrial Engineering
Approximate symmetry detection for reverse engineering
Proceedings of the sixth ACM symposium on Solid modeling and applications
A study of a reverse engineering system based on vision sensor for free-form surfaces
Computers and Industrial Engineering
Evaluation of the symmetry plane in 3D MR brain images
Pattern Recognition Letters
An octree-based multiresolution hybrid framework
Future Generation Computer Systems - Special issue: Computer graphics and geometric modeling
Feature-based reverse modeling strategies
Computer-Aided Design
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This paper presents a procedure to find an approximate symmetry plane from a point cloud for the reverse engineering of a symmetric object. Even if, the point cloud acquired from a symmetric object does not have exact symmetry planes in the mathematical sense, the data usually carries adequate symmetric information for reverse engineering. To generate a CAD model satisfying the original aesthetic and functional design, it is essential to extract approximate symmetry planes. This paper proposes a new procedure to extract a symmetry plane, and it includes a registration step, aligning three-dimensional models. To improve the computational efficiency of the proposed procedure, the registration step has been modified by using the inherent attributes of the problem: (1) the measured point data may include noise and (2) the point cloud might be partially asymmetric. The proposed procedure has been implemented and proven to be efficient enough to handle very heavy data sets including millions of entities (points and triangles).