--- In svg-developers@yahoogroups.com, "Samuel Dagan" <[EMAIL PROTECTED]> 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/
