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Re: Slur with left and/or right arrow head
From: |
Thomas Morley |
Subject: |
Re: Slur with left and/or right arrow head |
Date: |
Wed, 17 Apr 2019 22:41:59 +0200 |
Am Mi., 17. Apr. 2019 um 21:52 Uhr schrieb David Kastrup <address@hidden>:
>
> Thomas Morley <address@hidden> writes:
>
> > Am Mi., 17. Apr. 2019 um 21:30 Uhr schrieb David Kastrup <address@hidden>:
> >>
> >> Thomas Morley <address@hidden> 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
- Re: Slur with left and/or right arrow head, (continued)
- Re: Slur with left and/or right arrow head, Thomas Morley, 2019/04/17
- Re: Slur with left and/or right arrow head, David Kastrup, 2019/04/17
- Re: Slur with left and/or right arrow head, Thomas Morley, 2019/04/17
- Re: Slur with left and/or right arrow head, David Kastrup, 2019/04/17
- Re: Slur with left and/or right arrow head,
Thomas Morley <=
- Re: Slur with left and/or right arrow head, David Kastrup, 2019/04/17
- Re: Slur with left and/or right arrow head, Thomas Morley, 2019/04/17
- Re: Slur with left and/or right arrow head, Aaron Hill, 2019/04/17
- Re: Slur with left and/or right arrow head, Carl Sorensen, 2019/04/18
- Re: Slur with left and/or right arrow head, Aaron Hill, 2019/04/17
- Re: Slur with left and/or right arrow head, Thomas Morley, 2019/04/19
- Re: Slur with left and/or right arrow head, Aaron Hill, 2019/04/19
- Re: Slur with left and/or right arrow head, Thomas Morley, 2019/04/19
- Re: Slur with left and/or right arrow head, Thomas Morley, 2019/04/19
- Re[2]: Slur with left and/or right arrow head, Trevor, 2019/04/19