--_004_4CF56EE65080106yahoocombr_ Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable OK, here is an explanation of my algorithm: I will explain how the rescaling is done for one line of pixels (width) in a gray-scale image. The rescaling on the height follows the same principle. First, let's imagine that both images have the same width (units of measure) but different number of pixels, so the pixels of the image with less pixels are wider than the pixels of the image with more pixels. The width of the pixels of the destination image is always 1.0, so if we are enlarging the image (increasing the number of pixels), then the width of the pixels of the source image is greater than 1.0. If we are shrinking (reducing the number of pixels), then the width of the pixels of the source image is smaller than 1.0. Let's suppose we want to enlarge one line from 3 pixels to 5 pixels. We must pair both the source and destination pixels: (fig. 1) After pairing, we must imagine additional borders inside pixels (dotted lines), mirroring the borders between the pixels of the other line (source or destination), effectively creating sub-pixels. (fig. 2) The width of each sub-pixel is the width of the intersection between the source and destination pixel that it covers. The value of each destination pixel is the sum of one or more sub-pixels. The contribution of each sub-pixel to the intensity of the destination pixel is the sub-pixel width multiplied by the intensity of the source pixel that contains it. For instance, destination pixel D1 is composed by only one sub-pixel (S1 * 1.0). Destination pixel D2 is composed by two sub-pixels ( S1 * 0.66 + S2 * 0.33 ). And so on. The sum of the width of all sub-pixels that compose each destination pixel is always 1.0, so we don't need to do a division, just sum the products of the sub-pixel widths by the origin pixel values. Algorithmically: fws =3D 1.6; // Width of the source pixel fwd =3D 1.0; // Width of the destination pixel acc =3D 0; // Accumulator si =3D 0; // Source pixel index di =3D 0; // Destination pixel index while( di < dstimgwidth ){ fw =3D min( fws, fwd ); // Sub-pixel width acc +=3D srcimg[si] * fw; // Add the sub-pixel contribution fws -=3D fw; // Subtract the already used portion of the source pixel if( fws =3D=3D 0 ){ // Current source pixel exausted fws =3D 1.6; // Reload source pixel width si++; // Next source pixel } fwd -=3D fw; // Subtract the already used portion of the destination pixel if( fwd =3D=3D 0 ){ // Finished calculation of current destination pixel fwd =3D 1.0; // Reload destination pixel width dstimg[di] =3D acc; // Save calculated destination pixel di++; // Next destination pixel acc =3D 0; // Zero accumulator for next destination pixel } } Best regards, Isaac Em 30/11/2010 16:43, Isaac Marino Bavaresco escreveu: > Em 30/11/2010 15:51, Dave Tweed escreveu: >> Isaac Marino Bavaresco wrote: >>> I just published an algorithm I created to rescale images on my persona= l >>> page at piclist.com: >>> = .. >> Can't you express your algorithm in anything other than source code? >> It's very difficult to pick an algorithm out of a specific implementatio= n. >> How about some math or diagrams? > > Yes, I can. Unfortunately I hadn't the time to draw some nice diagrams > (I did, but only on paper, by hand) explaining what is happening with > source and destination pixels. > When I get some spare time I will create some descriptive material. > > >>> I think I am the first to invent it, but I may be wrong. >>> Any comments or reviews are welcome. >> It looks like a very roundabout way to do ordinary linear interpolation, >> but it's hard to be sure. Normally, you'd just iterate over the destinat= ion >> pixels and interpolate among the nearest four source pixels. >> >> -- Dave Tweed > > The goal here is to minimize operations. As you can see, there is no > division inside the loops, and the multiplications are kept to a minimum. > > > Isaac > > > > __________________________________________________ > Fale com seus amigos de gra=E7a com o novo Yahoo! 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