Document Type
Honors Project - Open Access
Abstract
This thesis addresses the problem of reassembling a broken surface. Three di- mensional curve matching is used to determine shared edges of broken pieces. In practice, these pieces may have different orientation and position in space, so edges cannot be directly compared. Instead, a differential invariant signature is used to make the comparison. A similarity score between edge signatures determines if two pieces share an edge. The Procrustes algorithm is applied to find the translations and rotations that best fit shared edges. The method is implemented in Matlab, and tested on a broken spherical surface.
Recommended Citation
Khut, Sophors, "Surface Reconstruction Using Differential Invariant Signatures" (2014). Mathematics, Statistics, and Computer Science Honors Projects. 33.
https://digitalcommons.macalester.edu/mathcs_honors/33
Included in
Computational Engineering Commons, Computer Sciences Commons, Mathematics Commons, Statistics and Probability Commons
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Comments
I would like to thank Professor Robert Thompson and Yiwen Hu for their vision and contributions to this project.