By Andrew Blake
Active Contours offers with the research of relocating pictures - an issue of starting to be significance in the special effects undefined. specifically it truly is fascinated by figuring out, specifying and studying earlier versions of various energy and utilising them to dynamic contours. Its goal is to improve and examine those modelling instruments extensive and inside a constant framework.
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Additional resources for Active Contours: The Application of Techniques from Graphics, Vision, Control Theory and Statistics to Visual Tracking of Shapes in Motion
5 are blended to form a spline function x(s). The choice of basis functions allows the boundary values x(O), x(5) to be controlled directly by the weights Xo, X6. Then weights Xl, X5 control the values of derivatives at the extremes of the interval. 7: Forming multiple knots. A double knot is introduced into a quadratic B-spline basis at s = 2. The resulting basis functions are the limit reached as the knot initially at s = 3 approaches s = 2. which is precisely the "root-mean-square" value 2 of x(s) over the range 0 :::; s :::; L.
Hence a quadratic function a+bx+cx 2• has order d = 3. Its degree - the highest power of x - is 2. A. 1: Image edges represented as parametric spline curves. 1 B-spline functions B-splines are a particular, computationally convenient representation for spline functions. In the B-spline form, a spline function x( s) is constructed as a weighted sum of NB basis functions (hence 'B'-splines) Bn(s), n = 0, ... ,NB - 1. In the simplest ("regular") case, each basis function consists of d polynomials each defined over a span of the s-axis.
The white curve is a B-spline with sufficient control points to do justice to the complexity of the leaf's shape. Control point positions vary over time in order to track the leaf outline. However, if the curve momentarily loses lock on the outline it rapidly becomes too tangled to be able to recover. (Figure by courtesy of R. } somewhat freely over time, the tracked curve can rapidly tie itself into unrecoverable knots, as the figure shows. This is a prime example of the sort of insight that can be gained from real-time experimentation.