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We elaborate on signature construction in the next couple of sections. R ETRIEVAL : Given a specific object by the user, the goal of the system is to retrieve from the database the most similar objects to this object. This step requires the comparison of graphs. , 1994; Wong, 1992). In the current paper, we follow (Messmer, 1995), which uses errorcorrecting subgraph isomorphism. The key idea of error correction algorithm is as follows. A graph edit operation is defined for each possible error type.

1. 1 (b) simplification error. This queue is processed until it is empty. We calculate the simplification error using the widely used quadric error metric (short: QEM) (Garland and Heckbert, 1997). By this iterative creation and by the QEM it is ensured that the simplification error of the father node n i of every arc (n i , nj ) is greater than (or equal to) the simplification error of its child node nj . 2 LOD Selection To extract a LOD out of the hierarchy it is necessary to create a cut. A cut is an arc subset C ⊆ A with the following two properties: 1.

Now we can create the crease by scaling the Laplacians along the edge path (d), resulting in a sharp feature, even for this coarsely sampled surface. left, but runs perpendicular to them on the right. By applying repeated subdivision we could have locally adjusted the mesh resolution, but for situations similar to the one in Fig. 18(a), many levels of subdivision would be necessary to properly approximate the sketch with an edge path. Another option would be to cut the mesh along the sketch; however, we have found a simpler method that avoids increasing the mesh complexity, yields nice feature lines and well-shaped triangles while retaining the original mesh topology.

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