We consider the problem of reconstructing a compact 3manifold (with boundary) embedded in R3 from its crosssections with a given set of cutting planes having arbitrary orientation...
Medial axis transform (MAT) is a basic tool for shape analysis. But, in spite of its usefulness, it has some drawbacks, one of which is its instability under the boundary perturba...
For users of CAD data, few things are as frustrating as receiving unusable, poor quality data. Users often waste time fixing or rebuilding such data from scratch on the basis of p...
Despite its usefulness in many applications, the medial axis transform (MAT) is very sensitive to the change of the boundary in the sense that, even if a shape is perturbed only s...
Stone is widespread in its use as a building material and artistic medium. One of its most remarkable qualities is that it changes appearance as it interacts with the environment....
Julie Dorsey, Alan Edelman, Henrik Wann Jensen, Ju...