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Reconstructing Implicit Surfaces with Boundaries

Implicit methods are the most popular approach for surface reconstruction from unorganized points. While these methods are very effective for reconstructing closed surfaces, current implicit methods have not addressed the issue of reconstructing surfaces with boundaries. This paper presents an algorithm for reconstructing implicit surfaces with boundaries that works during isosurface extraction and, therefore, can be used with any implicit surface reconstruction technique. The algorithm is based on local evaluations being suitable for the reconstruction of very large models through the use of out-of-core techniques. We demonstrate the effectiveness of our approach by reconstructing implicit surfaces with boundaries from datasets acquired by scanning real objects.