Scaling Theorems for Zero Crossings
IEEE Transactions on Pattern Analysis and Machine Intelligence
Uniqueness of the Gaussian Kernel for Scale-Space Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scale-Based Description and Recognition of Planar Curves and Two-Dimensional Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Biological Cybernetics
Singularity Theory and Phantom Edges in Scale Space
IEEE Transactions on Pattern Analysis and Machine Intelligence
Restructuring aspect graphs into aspect- and cell-equivalence classes for use in computer vision
Proceedings of the International Workshop WG '87 on Graph-theoretic concepts in computer science
The visual potential: one convex polygon
Computer Vision, Graphics, and Image Processing
Solid shape
Direct construction of the perspective projection aspect graph of convex polyhedra
Computer Vision, Graphics, and Image Processing
Probabilistic models of observed features and aspects with application to weighted aspect graphs
Pattern Recognition Letters
The geometry of view space of opaque objects bounded by smooth surfaces
Artificial Intelligence
Computing the orthographic projection aspect graph of solids of revolution
Pattern Recognition Letters
Qualitative navigation for mobile robots
Artificial Intelligence
Computing exact aspect graphs of curved objects: solid of revolution
International Journal of Computer Vision
Visibility, occlusion, and the aspect graph
International Journal of Computer Vision
Efficiently Computing and Representing Aspect Graphs of Polyhedral Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Global bifurcation sets and stable projections of nonsingular algebraic surfaces
International Journal of Computer Vision
A Theory of Multiscale, Curvature-Based Shape Representation for Planar Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing the Perspective Projection Aspect Graph of Solids of Revolution
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing the Generalized Aspect Graph for Objects with Moving Parts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing Exact Aspect Graphs of Curved Objects: Algebraic Surfaces
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Finite-Resolution Aspect Graphs of Polyhedral Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Spectrum Based View Grouping and Matching of 3D Free-Form Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Determination of Aircraft Orientation for a Vision-Based System Using Artificial Neural Networks
Journal of Mathematical Imaging and Vision
Geometric and Illumination Invariants for Object Recognition
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Computational Model of View Degeneracy
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Computing Structural Changes in Evolving Surfaces and their Appearance
International Journal of Computer Vision
Shape Models and Object Recognition
Shape, Contour and Grouping in Computer Vision
Scale Space Range Image Aspect Graph
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
On Computing Aspect Graphs of Smooth Shapes from Volumetric Data
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
A Similarity-Based Aspect-Graph Approach to 3D Object Recognition
International Journal of Computer Vision
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
Multi-resolution recognition of 3D objects based on visual resolution limits
Pattern Recognition Letters
Approximation of canonical sets and their applications to 2D view simplification
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Hi-index | 0.14 |
Currently the aspect graph is computed from the theoretical standpoint of perfect resolution in object shape, the viewpoint and the projected image. This means that the aspect graph may include details that an observer could never see in practice. Introducing the notion of scale into the aspect graph framework provides a mechanism for selecting a level of detail that is "large enough" to merit explicit representation. This effectively allows control over the number of nodes retained in the aspect graph. This paper introduces the concept of the scale space aspect graph, defines three different interpretations of the scale dimension, and presents a detailed example for a simple class of objects, with scale defined in terms of the spatial extent of features in the image.