Interactive topology-aware surface reconstruction
Andrei Sharf, Thomas Lewiner, Gil Shklarski, Sivan Toledo, Daniel Cohen-Or
Abstract:
The reconstruction of a complete watertight model from scan data is still a difficult process. In particular, since scanned data is often incomplete, the reconstruction of the expected shape is an ill-posed problem. Techniques that reconstruct poorly-sampled areas without any user intervention fail in many cases to faithfully reconstruct the topology of the model. The method that we introduce in this paper is topology-aware: it uses minimal user input to make correct decisions at regions where the topology of the model cannot be automatically induced with a reasonable degree of confidence. We first construct a continuous function over a three-dimensional domain. This function is constructed by minimizing a penalty function combining the data points, user constraints, and a regularization term. The optimization problem is formulated in a mesh-independent manner, and mapped onto a specific mesh using the finite-element method. The zero level-set of this function is a first approximation of the reconstructed surface. At complex under-sampled regions, the constraints might be insufficient. Hence, we analyze the local topological stability of the zero level-set to detect weak regions of the surface. These regions are suggested to the user for adding local inside/outside constraints by merely scribbling over a 2D tablet. Each new user constraint modifies the minimization problem, which is solved incrementally. The process is repeated, converging to a topology-stable reconstruction. Reconstructions of models acquired by a structured-light scanner with a small number of scribbles demonstrate the effectiveness of the method.
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BibTeX:
@inproceedings{insure_siggraph,author = {Andrei Sharf and Thomas Lewiner and Gil Shklarski and Sivan Toledo and Daniel Cohen-Or},
title = {Interactive topology-aware surface reconstruction},
year = {2007},
month = {august},
booktitle = {Siggraph 2007 (ACM Transaction on Graphics)},
volume = {26},
number = {3},
pages = {43.1--43.9},
publisher = {ACM},
address = {San Diego},
doi = {10.1145/1275808.1276431},
url = {\url{http://thomas.lewiner.org/pdfs/insure_siggraph.pdf}}
}