Question

Algorithm to halve image size

Asked by: InteractiveMind

I wish to scale an image to half its original size. The width and height of the image will both be even (although not necessarily equal).
I want the resize to be fairly high quality (so I don't just want to remove w/2 vertical strips, and h/2 horizontal strips). Then again, I don't want anything too expensive to perform - ideally it needs to resize potentially 800x600 within 200 ms.

Thanks in advance

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Asked On
2009-09-18 at 04:47:50ID24742895
Topics

Math & Science

,

Algorithms

,

Graphics & Game Programming

Participating Experts
3
Points
500
Comments
7

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Answers

 

by: JR2003Posted on 2009-09-18 at 07:53:39ID: 25366607

You can take the average of each of the RGB values for each block of 4 cells (2 horizontal and 2 vertical).

 

by: NovaDenizenPosted on 2009-09-18 at 09:09:16ID: 25367413

Like JR2003 said, a quick and dirty way to do it is to average.

for all i,j in the dest raster:
       dest[i][j].r = (src[2*i][2*j].r + src[2*i+1][2*j].r + src[2*i][2*j+1].r + src[2*i+1][2*j+1].r)/4
       and the same for the g and b planes

It gets a little more complex if there is an alpha channel.

 

by: InteractiveMindPosted on 2009-09-18 at 09:57:14ID: 25367812

Thanks, both.  Should that not be:

  dest[i][j].r = (src[i][j].r + src[i+1][j].r + src[i][j+1].r + src[i+1][j+1].r)/4   ?

And unfortunately, there IS an alpha channel. How might I deal with that?

 

by: InteractiveMindPosted on 2009-09-18 at 09:58:21ID: 25367818

>Should that not be:

Oh no, wait, you are right. I seem to have forgotten that my halving algorithm will actually need to do some halving.

 

by: GwynforWebPosted on 2009-09-18 at 11:08:11ID: 25368425

To actually do your halving

  dest[i][j].r = (src[2i][2j].r + src[2i+1][2j].r + src[2i][2j+1].r + src[2i+1][2j+1].r)/4

 

by: NovaDenizenPosted on 2009-09-18 at 11:10:14ID: 25368442

It depends on whether or not you are using "premultiplied" alpha.  

I'm writing this in terms of

Non-premultiplied alpha:  r=127, g=127, b=127, alpha=127 is half-transparent gray
premultiplied alpha:  r=127, g=127, b=127, alpha=127 is half-transparent white.

Assuming you are using non-premultiplied alpha, you have to multiply each source component by the alpha value
    dest[i][j].r = (src[2*i][2*j].r * src[2*i][2*j].alpha + src[2*i+1][2*j].r * src[2*i+1][2*j].alpha .......) / (4 * 255);
    dest[i][j].alpha is just the average of the alphas of the 4 source pixels

 

by: InteractiveMindPosted on 2009-09-29 at 04:17:09ID: 31630500

Great, thanks all - my mipmaps work brilliantly :)

And sorry for the delay, I have no internet at home currently.

20120131-EE-VQP-002

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