Intrinsic Stabilizers of Planar Curves

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Intrinsic Stabilizers of Planar Curves
Abstract. Regularization o ers a powerful framework for signal reconstruction by enforcing weak constraints through the use of stabilizers. Stabilizers are functionals measuring the degree of smoothness of a surface. The nature of those functionals constrains the properties of the reconstructed signal. In this paper, we rst analyze the invariance of stabilizers with respect to size, transformation and their ability to control scale at which the smoothness is evaluated. Tikhonov stabilizers are widely used in computer vision, even though they do not incorporate any notion of scale and may result in serious shape distortion. We rst introduce an extension of Tikhonov stabilizers that o ers natural scale control of regularity. We then introduce the intrinsic stabilizers for planar curves that apply smoothness constraints on the curvature pro le instead of the parameter space.
Herve Delingette
Added 16 Oct 2009
Updated 16 Oct 2009
Type Conference
Year 1994
Where ECCV
Authors Herve Delingette
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