Am Mi., 17. Apr. 2019 um 21:52 Uhr schrieb David Kastrup <d...@gnu.org>: > > Thomas Morley <thomasmorle...@gmail.com> writes: > > > Am Mi., 17. Apr. 2019 um 21:30 Uhr schrieb David Kastrup <d...@gnu.org>: > >> > >> Thomas Morley <thomasmorle...@gmail.com> writes:
> >> > What kind of value is `t´ in (define (bezier-angle control-points t) ...) > >> > Seems not to be a x- or y-value, not an arc-length-value .., but what > >> > else? > >> > >> "time". > > > > Well, actually I read that in some papers trying to explain beziers, > > already. > > But what means "time"? > > I'm arranging pixels on a screen, or tell a printer what to print > > where or draw points and lines with a pencil on a sheet of paper. > > This may be "time"-consuming lol > > Lol to you: it's the drawing time of drawing the curve, so yes, this is > exactly the meaning assigned to t. It is normalised from 0 to 1 instead > of measuring it in pencil-seconds. > > > But what does "time" means here in the mathematical sense, this part I > > didn't get yet. > > How far you have progressed with drawing the curve. Well, as already said, making things visible may help. If I look at the dotted bezier of my recently posted pdf (the dots are made by splitting t from 0 to 1 in sixty pieces) then it seems drawing more or less straight lines takes less effort, i.e. is less time-consuming than to draw curves, more steeper curves means more work, i.e. more time. Though, I'm used to think of mathematical functions assigning one x-value to one (or more) y-values, at least if we keep thinking in two dimensions. Thus I still have problems to accept this thinking. Thanks, Harm _______________________________________________ lilypond-user mailing list lilypond-user@gnu.org https://lists.gnu.org/mailman/listinfo/lilypond-user
