Integral Histogram: A Fast Way to Extract Histograms in Cartesian Spaces
Fatih Porikli
Mitsubishi Electric Research Laboratories
fatih@merl.com
Abstract
We present a novel method, which we refer as an integral
histogram, to compute the histograms of all possible target
regions in a Cartesian data space. Our method has three
distinct advantages: 1- It is computationally superior to
the conventional approach. The integral histogram method
makes it possible to employ even an exhaustive search pro-
cess in real-time, which was impractical before. 2- It can
be extended to higher data dimensions, uniform and non-
uniform bin formations, and multiple target scales with-
out sacrificing its computational advantages. 3- It enables
the description of higher level histogram features. We ex-
ploit the spatial arrangement of data points, and recursively
propagate an aggregated histogram by starting from the ori-
gin and traversing through the remaining points along ei-
ther a sca
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