Accurate approximation of the earth mover's distance in linear time

Min Hee Jang, Sang Wook Kim, Christos Faloutsos, Sunju Park

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Color descriptors are one of the important features used in content-based image retrieval. The dominant color descriptor (DCD) represents a few perceptually dominant colors in an image through color quantization. For image retrieval based on DCD, the earth mover's distance (EMD) and the optimal color composition distance were proposed to measure the dissimilarity between two images. Although providing good retrieval results, both methods are too time-consuming to be used in a large image database. To solve the problem, we propose a new distance function that calculates an approximate earth mover's distance in linear time. To calculate the dissimilarity in linear time, the proposed approach employs the space-filling curve for multidimensional color space. To improve the accuracy, the proposed approach uses multiple curves and adjusts the color positions. As a result, our approach achieves order-of-magnitude time improvement but incurs small errors. We have performed extensive experiments to show the effectiveness and efficiency of the proposed approach. The results reveal that our approach achieves almost the same results with the EMD in linear time.

Original languageEnglish
Pages (from-to)142-154
Number of pages13
JournalJournal of Computer Science and Technology
Volume29
Issue number1
DOIs
Publication statusPublished - 2014 Jan 1

Fingerprint

Linear Time
Earth (planet)
Color
Approximation
Descriptors
Dissimilarity
Image retrieval
Color Quantization
Space-filling Curves
Calculate
Content-based Image Retrieval
Color Space
Image Database
Image Retrieval
Distance Function
Retrieval
Curve
Experiment
Chemical analysis
Experiments

All Science Journal Classification (ASJC) codes

  • Software
  • Theoretical Computer Science
  • Hardware and Architecture
  • Computer Science Applications
  • Computational Theory and Mathematics

Cite this

Jang, Min Hee ; Kim, Sang Wook ; Faloutsos, Christos ; Park, Sunju. / Accurate approximation of the earth mover's distance in linear time. In: Journal of Computer Science and Technology. 2014 ; Vol. 29, No. 1. pp. 142-154.
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Accurate approximation of the earth mover's distance in linear time. / Jang, Min Hee; Kim, Sang Wook; Faloutsos, Christos; Park, Sunju.

In: Journal of Computer Science and Technology, Vol. 29, No. 1, 01.01.2014, p. 142-154.

Research output: Contribution to journalArticle

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