# ImageAccumulate

ImageAccumulate[image]

gives an image in which each pixel represents a sum of all pixels below and to the left of that pixel in image.

# Examples

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## Basic Examples(2)

Compute the accumulated area of an image:

Accumulated area of a 3D image:

## Options(1)

### Method(1)

The default method is fast, but may have some computation artifacts:

Use Method->"CompensatedSummation" for a more accurate result:

## Applications(1)

Approximate the determinant of the Hessian using 9×9 box filters as in a SURF keypoints detector:

Visualize the function evaluated for every pixel:

Find the position of the peaks in the determinant of the Hessian matrix:

## Properties & Relations(1)

Accumulated pixel values inside an upright rectangle defined by its bottom-left and top-right corners:

Define the upright rectangular area by its bottom-left corner and its width and height:

Accumulating the pixel values of the corresponding subimage yields the same result:

Accumulate pixel values extracted from the original image:

Wolfram Research (2012), ImageAccumulate, Wolfram Language function, https://reference.wolfram.com/language/ref/ImageAccumulate.html (updated 2014).

#### Text

Wolfram Research (2012), ImageAccumulate, Wolfram Language function, https://reference.wolfram.com/language/ref/ImageAccumulate.html (updated 2014).

#### CMS

Wolfram Language. 2012. "ImageAccumulate." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 2014. https://reference.wolfram.com/language/ref/ImageAccumulate.html.

#### APA

Wolfram Language. (2012). ImageAccumulate. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ImageAccumulate.html

#### BibTeX

@misc{reference.wolfram_2023_imageaccumulate, author="Wolfram Research", title="{ImageAccumulate}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/ImageAccumulate.html}", note=[Accessed: 01-October-2023 ]}

#### BibLaTeX

@online{reference.wolfram_2023_imageaccumulate, organization={Wolfram Research}, title={ImageAccumulate}, year={2014}, url={https://reference.wolfram.com/language/ref/ImageAccumulate.html}, note=[Accessed: 01-October-2023 ]}