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Project Overview
Our goal is to investigate issues in shape-based retrieval and analysis of 3D models. As a first step, we have developed a search engine for 3D polygonal models (check it out by clicking here). The main research issues are to develop effective shape representations and query interfaces. The Princeton Shape Benchmark is a set of 3D models that can be downloaded for further research. This web page provides an overview of some projects on these topics. Our publications provide more details.
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Shape Representations
A key issue in developing a shape-based retrieval and analysis system is to find a computational representation of shape (a shape descriptor) for which an index can be built, similarity queries can be answered efficiently. We are studying a spectrum of shape descriptors, ranging from ones that are simple to compute (but perhaps not very discriminating) to ones that require expensive computations (but provide sophisticated shape analysis):
Shape Distributions:
On the low end of the spectrum, we have been investigating shape distributions that represent the shape of a 3D model as a probability distribution sampled from a shape function measuring geometric properties of a 3D model. The motivation for this approach is that samples can be computed quickly and easily, and the shape of the resulting distributions are invariant to similarity transformations, noise, tessellation, cracks, etc.(with a normalization step for scale invariance). For example, one such shape distribution, which we call D2, represents the global shape of an object by the probability distribution of Euclidean distances between pairs of randomly selected points on its surface. The figure below shows the D2 distributions for 5 tanks (gray curves) and 6 cars (black curves). Note how the classes are distinguishable.
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Princeton Shape Retrieval and Analysis Group
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