curve from bezier cusps
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i have some ink data. i get the bezier point and bezier cusp of the same. wud bezier cups be considered as the control poits of the curve and is it possible to drwa the exact curve from bezier cusps alone if i discard the bezier points. i searched google but cud not find the satisfactory answer.
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i have some ink data. i get the bezier point and bezier cusp of the same. wud bezier cups be considered as the control poits of the curve and is it possible to drwa the exact curve from bezier cusps alone if i discard the bezier points. i searched google but cud not find the satisfactory answer.
Are you sure you have the correct terminology? A cusp is a particular kind of point in a Bezier curve (where the derivative is non-continuous) and only appears in some curves, often when the points are in the wrong order. If you do have a cusp, it may be possible to calculate the relevant point coordinates, but I suspect you'd need the derivatives on each side of it (and possibly second derivatives) as well. The maths for working this out could be quite complicated...
There are three kinds of people in the world - those who can count and those who can't...
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Are you sure you have the correct terminology? A cusp is a particular kind of point in a Bezier curve (where the derivative is non-continuous) and only appears in some curves, often when the points are in the wrong order. If you do have a cusp, it may be possible to calculate the relevant point coordinates, but I suspect you'd need the derivatives on each side of it (and possibly second derivatives) as well. The maths for working this out could be quite complicated...
There are three kinds of people in the world - those who can count and those who can't...
thank you for the reply. further, i do have the coordinates of the cusps. and want to draw curve out of these. i.e using minimum number of points. my requirement is to redraw(approximate) a curve from a given curve and its coordinates with minimum number of points with minimal error.
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thank you for the reply. further, i do have the coordinates of the cusps. and want to draw curve out of these. i.e using minimum number of points. my requirement is to redraw(approximate) a curve from a given curve and its coordinates with minimum number of points with minimal error.
OK, if that's the requirement then I guess you're stuck with trying to do it. As I said, it's not going to be easy, and I hope you're prepared for some difficult maths. Rather you than me... :)
There are three kinds of people in the world - those who can count and those who can't...