Computational geometry: an introduction
Computational geometry: an introduction
On the classification of views of piecewise smooth objects
Image and Vision Computing - Special issue: papers from the second Alvey Vision Conference
Line-Drawing Interpretation: Straight Lines and Conic Sections
IEEE Transactions on Pattern Analysis and Machine Intelligence
The geometry of view space of opaque objects bounded by smooth surfaces
Artificial Intelligence
Developing the aspect graph representation for use in image understanding
Proceedings of a workshop on Image understanding workshop
Computing exact aspect graphs of curved objects: solid of revolution
International Journal of Computer Vision
Global bifurcation sets and stable projections of nonsingular algebraic surfaces
International Journal of Computer Vision
Aspects graphs of solids of revolution
Aspects graphs of solids of revolution
Shape Spectrum Based View Grouping and Matching of 3D Free-Form Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Geometric and Illumination Invariants for Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D object recognition: Representation and matching
Statistics and Computing
Computing the Generalized Aspect Graph for Objects with Moving Parts
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using cross-ratios to model curve data for aircraft recognition
Pattern Recognition Letters
A Similarity-Based Aspect-Graph Approach to 3D Object Recognition
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Visual Hull of Smooth Curved Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
The visual hull of piecewise smooth objects
Computer Vision and Image Understanding
A new 3-D model retrieval system based on aspect-transition descriptor
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part IV
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An algorithm for computing the aspect graph for a class of curved-surface objects based on an exact parcellation of 3-D viewpoint space is presented. The object class considered is solids of revolution. A detailed analysis of the visual events for this object class is given, as well as an algorithm for constructing the aspect graph. Numerical search techniques, based on a geometric interpretation of the visual events, have been devised to determine those visual event surfaces that cannot be calculated directly. The worst-case complexity of the number of cells in the parcellation of 3-D viewpoint space, and, hence, the number of nodes in the aspect graph, is O(N/sup 4/), where N is the degree of a polynomial that defines the object shape. A summary of the results for 20 different object descriptions is presented, along with a detailed example for a flower vase.