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Surface boxplots
Author(s) -
Genton Marc G.,
Johnson Christopher,
Potter Kristin,
Stenchikov Georgiy,
Sun Ying
Publication year - 2014
Publication title -
stat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.61
H-Index - 18
ISSN - 2049-1573
DOI - 10.1002/sta4.39
Subject(s) - computer science , visualization , histogram , sample (material) , volume (thermodynamics) , surface (topology) , artificial intelligence , graph , pattern recognition (psychology) , data mining , computer vision , image (mathematics) , mathematics , theoretical computer science , chemistry , physics , geometry , chromatography , quantum mechanics
In this paper, we introduce a surface boxplot as a tool for visualization and exploratory analysis of samples of images. First, we use the notion of volume depth to order the images viewed as surfaces. In particular, we define the median image. We use an exact and fast algorithm for the ranking of the images. This allows us to detect potential outlying images that often contain interesting features not present in most of the images. Second, we build a graphical tool to visualize the surface boxplot and its various characteristics. A graph and histogram of the volume depth values allow us to identify images of interest. The code is available in the supporting information of this paper. We apply our surface boxplot to a sample of brain images and to a sample of climate model outputs. Copyright © 2014 John Wiley & Sons Ltd.