# The Earth Mover's Distance, Multi-Dimensional Scaling, and Color-Based Image Retrieval

@inproceedings{Tomasi1997TheEM, title={The Earth Mover's Distance, Multi-Dimensional Scaling, and Color-Based Image Retrieval}, author={Carlo Tomasi}, year={1997} }

In this paper we present a novel approach to the problem of navigating through a database of color images. We consider the images as points in a metric space in which we wish to move around so as to locate image neighborhoods of interest, based on color information. The data base images are mapped to distributions in color space, these distributions are appropriately compressed, and then the distances between all pairs I; J of images are computed based on the work needed to rearrange the mass…

## 255 Citations

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- Mathematics, Computer ScienceSixth International Conference on Computer Vision (IEEE Cat. No.98CH36271)
- 1998

This paper uses the Earth Mover's Distance to exhibit the structure of color-distribution and texture spaces by means of Multi-Dimensional Scaling displays, and proposes a novel approach to the problem of navigating through a collection of color images, which leads to a new paradigm for image database search.

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- Computer Science
- 1998

The color correlogram is proposed as a generic color-spatial indexing tool to tackle various problems that arise in content-based image retrieval and video browsing and a method for hierarchical classification of images via supervised learning is proposed.

The Earth Mover''s Distance: Lower Bounds and Invariance under Translation

- Mathematics
- 1997

The Earth Mover''s Distance (EMD) between two finite distributions of weight is proportional to the minimum amount of work required to transform one distribution into the other. Current content-based…

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- Computer Science, EngineeringElectronic Imaging
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- Mathematics, Computer ScienceProceedings of the Seventh IEEE International Conference on Computer Vision
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This work considers the problem of computing a transformation of one distribution which minimizes its EMD to another, and presents a monotonically convergent iteration which can be applied to a large class of EMD under transformation problems, although the iteration may converge to only a locally optimal transformation.

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- Computer Science, EngineeringIS&T/SPIE Electronic Imaging
- 2003

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The PvS-Index is presented, a new approximate indexing technique for high dimensional data that provides a good evaluation time independent from the actual size of the collection and shows a performance gain of several orders of magnitude in comparison with a sequential scan through the whole data set.

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