By Andrew Blake

Active Contours bargains with the research of relocating photographs - a subject matter of starting to be value in the special effects undefined. particularly it's fascinated about knowing, specifying and studying earlier types of various energy and using them to dynamic contours. Its goal is to strengthen and examine those modelling instruments extensive and inside a constant framework.

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**Extra resources for Active Contours: The Application of Techniques from Graphics, Vision, Control Theory and Statistics to Visual Tracking of Shapes in Motion**

**Example text**

Equilibrium equations for r( s) are set up in such a way that r( s) tends to cling to high responses of F, that is, maximising F(r(s)) over 0 :::; s :::; 1, in some appropriate sense. 1: Image-feature detectors. Suitably designed image jilters can highlight areas of an image in which particular features occur. The examples shown here jilter for areas of high contrast ("edges"), peaks of intensity ("ridges") and intensity troughs ("valleys"). 2: Detecting edges. Edges (right) are generated from the image (left) using horizontally and vertically oriented masks and a decision process (Canny, 1986) that attempts to repair gaps.

2. It shows the simplest case in which the knots are evenly spaced and the joins between polynomials are regular - that is, as smooth as possible, having d - 2 continuous derivatives. The quadratic spline, for instance, has continuous gradie;nt in the regular case. (s) ... /', .... "'\ ' \ " ". 2: (top) A single quadratic B-spline basis function Bo(s). "Knots" at s =,0,1,2,3,4 mark transitions between polynomial segments of the function. (bottom) In the regular case which has evenly spaced knots (at integral values of s), each B-spline basis function is a translated copy of the previous one.

Derivatives at the ends s = 0, L of the interval. Details of the construction of the Bn for this case can be found in appendix A. It is no longer the case that the number of basis functions N B is equal to the interval length L. Additional basis functions are needed to control boundary conditions (values of the spline function and its derivatives at s = 0, L). In the regular case, d - 1 extra functions are needed (d is the order of the polynomial) so that NB = L + d - 1. 5, for example, L = 5 and d = 3 (quadratic) so there must be N B = 7 basis functions.