Technical Section: Euler arc splines for curve completion
Computers and Graphics
Interpolation of two-dimensional curves with Euler spirals
Journal of Computational and Applied Mathematics
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The shape completion problem refers to the interruption, e.g. by occlusion, of the geometric continuation of boundaries of objects. It is important to use a single visually pleasing curve segment to smoothly fill a gap, even though the gap may not be filled in a curvature continuous manner. Recently an algorithm for doing so using an Euler spiral segment was presented; the algorithm depends on initially fitting a biarc. An improved algorithm, which does not depend on first fitting a biarc, is now presented.