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RegionImage
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RegionImage

✖

returns a rasterized grayscale 2D or 3D image of reg.

✖
RegionImage[reg,{{xmin,xmax},…}]

restricts to the bounds .

Details and Options

Examples

open allclose all

Basic Examples  (2)Summary of the most common use cases

Rasterize a region in 2D:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-zb9y7j
Out[1]=1

Rasterize a region in 3D:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-9lfo9
Out[1]=1

Scope  (7)Survey of the scope of standard use cases

Data  (5)

Rasterize a Region:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-e5qy4x
Out[1]=1

Rasterize a MeshRegion:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-7bdrg2
Out[1]=1

Rasterize a BoundaryMeshRegion:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-flif4y
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-rpb1tw
Out[2]=2

Rasterize a region in 2D with components of 0, 1, and 2 dimensions:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-t0asx1
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-1k2rd6
Out[2]=2

Rasterize a region in 3D with mixed dimensional components:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-iq0r4u
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-0bmz2g
Out[2]=2

Parameters  (2)

Rasterize the part of a region in 2D that is within specified bounds:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-gwo6gf
Out[1]=1

Rasterize the part of a region in 3D that is within specified bounds:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-cf8k21
Out[1]=1

Options  (6)Common values & functionality for each option

Method  (4)

"Thickness"  (4)

Compare different settings for the thickness of components that are not full dimensional:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-k1y0lg
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-2d8f1x
Out[2]=2

The thickness is effectively the width of a feature in pixels:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-iqxwc7
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-jfhfol
Out[2]=2

The default "Thickness"Automatic renders one white pixel per Point:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-gyszt
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-ct19ca
Out[2]=2

Thicken a shell in 3D:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-32dh2s
Out[1]=1

RasterSize  (2)

By default, regions are rasterized to the default graphics raster size:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-klj3xt
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-3nd9wz
Out[2]=2

Specify the raster size:

In[3]:=3
✖
https://wolfram.com/xid/0enz1syci-mf56eo
Out[3]=3
In[4]:=4
✖
https://wolfram.com/xid/0enz1syci-x9vuyo
Out[4]=4

Use ImageSize to specify the display size:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-mcgnae
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-fcy7wp
Out[2]=2

Applications  (6)Sample problems that can be solved with this function

Create the image of a Sierpiński mesh:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-m1ard2
Out[1]=1

Rasterization of a 3D knot:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-ipplfr
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-nu7ial
Out[2]=2

Generate cylindric masks for a volume:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-y4h306
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-d9lvxl
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0enz1syci-cgcv94
Out[3]=3

Construct a 3D image from elevation data around Mount Everest:

In[1]:=1
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https://wolfram.com/xid/0enz1syci-nz589s
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-fvuwwh
Out[2]=2

Generate the volume of a polyhedron:

In[1]:=1
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https://wolfram.com/xid/0enz1syci-h8luct
Out[1]=1
In[2]:=2
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https://wolfram.com/xid/0enz1syci-zvwwvh
Out[2]=2

"Melting" a snowflake region via curvature flow:

In[1]:=1
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https://wolfram.com/xid/0enz1syci-eau5m0
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-biw22z
Out[2]=2
In[3]:=3
✖
https://wolfram.com/xid/0enz1syci-zsogaj
Out[3]=3

Possible Issues  (2)Common pitfalls and unexpected behavior

Setting the thickness to zero effectively ignores the lower-dimensional components:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-edv6f
Out[1]=1

Increase the thickness to get response for lower-dimensional components:

In[5]:=5
✖
https://wolfram.com/xid/0enz1syci-zu8h2r
Out[5]=5

3D rasterization can show a moiré-like effect due to the partial volume computation and coloring:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-msyesj
Out[1]=1

Use a color function that changes only opacities based on the voxel intensity, not the color:

In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-eadepo
Out[2]=2

Antialiasing using blur:

In[3]:=3
✖
https://wolfram.com/xid/0enz1syci-9n6for
Out[3]=3

Antialiasing would even improve a color function that changes both color and opacity by voxel intensities:

In[4]:=4
✖
https://wolfram.com/xid/0enz1syci-olw5i5
Out[4]=4

Neat Examples  (2)Surprising or curious use cases

Estimate the area content of a rasterized disk:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-ca1ver
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-g77gaf

Compare the area estimate with the disk area π:

In[3]:=3
✖
https://wolfram.com/xid/0enz1syci-yjexes
Out[3]=3
In[4]:=4
✖
https://wolfram.com/xid/0enz1syci-v812tj
Out[4]=4

Nested conversion between a discretized and mesh representation of a disk:

In[1]:=1
✖
https://wolfram.com/xid/0enz1syci-81y5f2
Out[1]=1
In[2]:=2
✖
https://wolfram.com/xid/0enz1syci-38yviv
Out[2]=2

Show the evaluation:

In[3]:=3
✖
https://wolfram.com/xid/0enz1syci-v81o5f
Out[3]=3
Wolfram Research (2017), RegionImage, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionImage.html.
✖
Wolfram Research (2017), RegionImage, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionImage.html.

Text

Wolfram Research (2017), RegionImage, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionImage.html.

✖
Wolfram Research (2017), RegionImage, Wolfram Language function, https://reference.wolfram.com/language/ref/RegionImage.html.

CMS

Wolfram Language. 2017. "RegionImage." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionImage.html.

✖
Wolfram Language. 2017. "RegionImage." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/RegionImage.html.

APA

Wolfram Language. (2017). RegionImage. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionImage.html

✖
Wolfram Language. (2017). RegionImage. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/RegionImage.html

BibTeX

@misc{reference.wolfram_2025_regionimage, author="Wolfram Research", title="{RegionImage}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/RegionImage.html}", note=[Accessed: 04-June-2025 ]}

✖
@misc{reference.wolfram_2025_regionimage, author="Wolfram Research", title="{RegionImage}", year="2017", howpublished="\url{https://reference.wolfram.com/language/ref/RegionImage.html}", note=[Accessed: 04-June-2025 ]}

BibLaTeX

@online{reference.wolfram_2025_regionimage, organization={Wolfram Research}, title={RegionImage}, year={2017}, url={https://reference.wolfram.com/language/ref/RegionImage.html}, note=[Accessed: 04-June-2025 ]}

✖
@online{reference.wolfram_2025_regionimage, organization={Wolfram Research}, title={RegionImage}, year={2017}, url={https://reference.wolfram.com/language/ref/RegionImage.html}, note=[Accessed: 04-June-2025 ]}