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# Questions tagged [digital-curve]

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### NURB Sphere surface degree elevation and knot insertion

The code for degree elevation of curves in The NURBS Book by Les Piegl and Wayne Tiller pages 206--209(The_NURBS_Book) assumes the knot vector for the curve is given as: $$(0,...,0,...,1,...,1)$$ ...
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### Convert NURBS surface into Cubic Bezier Surface

The following post discussed how to convert(approximate) NURBS curve into cubic Bézier curve: Convert NURBS curve into Cubic Bezier Curve I am trying to come up with an algorithm that converts(...
1 vote
248 views

### Optimizing De Boor's algorithm

According to De Boor's algorithm, a B-Spline basis function can be evaluated using the formula:  B_{i,0} = \left\{ \begin{array}{ll} 1 & \mbox{if } t_i \le x < t_{i+1} \\ 0 &...
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1 vote
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### Convert Subdivision Curve to Bezier Curve

Wondering if there is a way technically to convert a Subdivision Curve into a Bezier Curve.
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### Convert NURBS curve into Cubic Bezier Curve

From this: Maybe you already know this, but it's impossible to convert nurbs to bezier splines exactly because nurbs are rational functions, and bezier splines are polynomials. I don't understand ...
• 2,243
32 views

### Detecting isthmuses on digital curves

Consider a digital curve, i.e. a sequence of points at integer coordinates, with unit taxicab distance between them. I want to find the isthmuses, i.e. sections of the curve that are close to each ...