Hi Matseevsky, You convinced me. My proposition was to simplistic. I've tried to add more requirements for the curve, but found always a loophole. If I'll find something else, I'll write you. Cheers, Samy
--- In [email protected], "a_matseevsky" <[EMAIL PROTECTED]> wrote: > > --- In [email protected], "Samuel Dagan" <dagan@> > wrote: > > > > Hi! > > I am not kidding. Your example is what I meant by "inflection > points". > > I forgot to add that the curve should be continuous. > > Cheers, Samy > > > > Are you kidding? Let's try to imagine 5 points- P1, P2, P3, P4 > and > > > P5. P1 and P5 are end points, P3 is the middle one. If the > distance > > > from P0 to P1 is less than distance from P0 to P5, you > > > recommendation is to select point P1, P2, P3. Well but why do > you > > > think, that distance from P0 to P4 cannot be less than from P0 > to > > > P1?! > > Well, but what makes you think that if a curve is continuos, minimal > distance cannot be from P0 to P4?! Let's speak about one single link > of a Bezier curve. To get points with minimal distance from some > point P0 to this link of a Bezier curve, one has to find roots of 5- > order polynom (is this a proper term?) Square of a distance from P0 > to P, belongigng to Bezier curve's link, is a polynom. Its first > derivate is a polynom too. One has to find its roots, to calculate > distance from P0 to corresponding points and compare with end points > of aforesaid link (yep, roots must be between 0 and 1). There is no > other way to calc minimal distance correctly. Coruse, having more > than one link (polyBezier) some links could be excluded due to the > fact that each link lies inside convex polygon, based on control > points of a Bezier's link. > ------------------------------------ ----- To unsubscribe send a message to: [EMAIL PROTECTED] -or- visit http://groups.yahoo.com/group/svg-developers and click "edit my membership" ----Yahoo! Groups Links <*> To visit your group on the web, go to: http://groups.yahoo.com/group/svg-developers/ <*> Your email settings: Individual Email | Traditional <*> To change settings online go to: http://groups.yahoo.com/group/svg-developers/join (Yahoo! ID required) <*> To change settings via email: mailto:[EMAIL PROTECTED] mailto:[EMAIL PROTECTED] <*> To unsubscribe from this group, send an email to: [EMAIL PROTECTED] <*> Your use of Yahoo! Groups is subject to: http://docs.yahoo.com/info/terms/
