Grand Tour

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چکیده

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Image grand tour

The image grand tour is a method for visualizing multispectral or multiple registered images. In many settings, several registered images of the same scene are collected. This most often happens when multispectral images are collected, but may happen in other settings as well. A multispectral image can be viewed as an image in which each pixel has a multivariate vector attached. The desired goa...

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A Grand Tour of Pedals of Conics

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The Grand Tour in k-Dimensions1

The grand tour introduced by Asimov (1985) is based on the idea that one method of searching for structure in ddimensional data is to “look at it from all possible angles," more mathematically, to project the data sequentially in to all possible two-planes. The collection of two-planes in a d-dimensional space is called a Grassmannian manifold. A key feature of the grand tour is that the projec...

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New Applications of the Image Grand Tour

The image grand tour (IGT) is a method for visualizing multispectral images or multiple registered images. Such images can be described as having a multivariate pixel vector associated with each pixel. Examples are the RGB values of a photograph or the multiple spectral and infrared readings from remote sensing satellites. The image grand tour projects a linear combination of the pixel vectors ...

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The Grand Tour as a Method for Detecting Multivariate Outliers

A method of viewing multivariate data vectors and identifying among them outliers is described. The method is applied to two sets of benchmark data: Brownee's stack-loss data and Hawkins{Bradu{Kass data. All the outliers contained in these data are easily identiied. Generally, it is expected that the method will yield good results (i.e. will nd the outliers) for data having elliptical or nearly...

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ژورنال

عنوان ژورنال: Science

سال: 2007

ISSN: 0036-8075,1095-9203

DOI: 10.1126/science.318.5848.215