IBM, Watson Research Center, Oct. 28, 1999



Symmetry-Based Shape Representations

Benjamin B. Kimia

Laboratory for Engineering Man/Machine Systems (LEMS)

In Vision, simplified worlds can easily be more complicated to analyze!




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*Fundamental Issues in Shape Representation: from Invariance to Stability *


* Tasks and Shape Representations*

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* Symmetry-Based Representations: SHOCKS *


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* Reconstruction of Shape from Shocks*

Main Theorem: The first and second order properties of the boundary

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* The Recovery of Shocks from Shapes and Images *

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* Symmetry Map: An intermediate representation for Perceptual Grouping *

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* Shape Comparison by Matching Shock Graphs*

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* Transformation-based Approach to Matching *

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* Shock Transitions and Prototypes *

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* Image Indexing: Need for Categorization *

Successful Image Retrieval requires Efficient Access

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* Symmetry-Based Representations for Segmentation*

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* 3D Representations of Shape *

Frederic F. Leymarie

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*Applications: Digital Archaeology *

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Last update: Oct. 28, 1999