Do the splines in the later slides seek to approximate real splines at all? or are they created to satisfy certain defined types of continuity?
nebster100
@Gilbert-Han the way I interpreted this, each of the weights in the Draftsman's Spline is like a point in the normal spline, representing an inflection point for the intersection of the curved segments
kingdish
I think these weights are similar to control points in a bezier curve. Every combination of placement of weights give the spline a determined shape.
hershg
Adding on to the above, at the points where the curved spline meets a weight, the tangent of the line is perpendicular to the direction of the vector. The line is basically the smooth curve connecting each of these tangents.
Do the splines in the later slides seek to approximate real splines at all? or are they created to satisfy certain defined types of continuity?
@Gilbert-Han the way I interpreted this, each of the weights in the Draftsman's Spline is like a point in the normal spline, representing an inflection point for the intersection of the curved segments
I think these weights are similar to control points in a bezier curve. Every combination of placement of weights give the spline a determined shape.
Adding on to the above, at the points where the curved spline meets a weight, the tangent of the line is perpendicular to the direction of the vector. The line is basically the smooth curve connecting each of these tangents.
Do people still use this in the modern day?