Thank you! This is excellent information for me to keep in mind. And a special thanks for pointing me to the Gauss Circle Problem.
Roger > On Sep 7, 2020, at 2:04 AM, Pi Digital via use-livecode > <use-livecode@lists.runrev.com> wrote: > > Sure. Draw a circle on a 10x10, 20x20, 100x100, etc grid. Only Whole pixels > get counted (Pass or 1 in digital binary). Depending on the methodology, > either 1) only those within the circle line (complete) or 2) those on the > line itself and within it (incomplete). > > In your example, a 200x200 circle has a resolution where it’s practically > negligible from regular mathematics. However, the resolution at 100x100 and > lower starts to flat wildly away from it. If you are measuring using > collision and it’s accounting for antialiased pixels it can become even more > diverse from standard math as it does not ‘see’ it in percentages of visible, > only on or off. > > So, the difference between measuring only inside of a 200x200 and outside of > the 100x100 will throw off considerably any ordinary calculations you might > expect. Even a 400x400 PixelWise ‘circle’. > > Look up Gauss’ Circle Problem. The same chap we get the name for Gaussian > blur from. > >> On 7 Sep 2020, at 05:26, Roger Guay via use-livecode >> <use-livecode@lists.runrev.com> wrote: >> >> I’m sorry, I don’t understand your terminology. Could you please elaborate? >> >> Thanks, >> Roger >> >>> On Sep 6, 2020, at 10:54 AM, Pi Digital via use-livecode >>> <use-livecode@lists.runrev.com> wrote: >>> >>> Pixel math: >>> >>> Counting incomplete pixels within a circle outline (%Pass)(%Fail): >>> 10x10 = 88 (88%)(12%) >>> 20x20 = 344 (86%)(14%) >>> 100x100 = 8012 (80%)(20%) >>> >>> Counting complete pixels: >>> 10x10 = 48 (48%)(52%) >>> 20x20 = 276 (69%)(31%) >>> 100x100 = 7444 (74.4%)(26%) >>> >>> Your conclusion here: _________________________ >>> >>> _______________________________________________ >>> use-livecode mailing list >>> use-livecode@lists.runrev.com >>> Please visit this url to subscribe, unsubscribe and manage your >>> subscription preferences: >>> http://lists.runrev.com/mailman/listinfo/use-livecode >> >> _______________________________________________ >> use-livecode mailing list >> use-livecode@lists.runrev.com >> Please visit this url to subscribe, unsubscribe and manage your subscription >> preferences: >> http://lists.runrev.com/mailman/listinfo/use-livecode > > > _______________________________________________ > use-livecode mailing list > use-livecode@lists.runrev.com > Please visit this url to subscribe, unsubscribe and manage your subscription > preferences: > http://lists.runrev.com/mailman/listinfo/use-livecode _______________________________________________ use-livecode mailing list use-livecode@lists.runrev.com Please visit this url to subscribe, unsubscribe and manage your subscription preferences: http://lists.runrev.com/mailman/listinfo/use-livecode
