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.

• Type: Conference
• Year: 1994
• Where: ECCV
• Authors: Herve Delingette
• Keywords: Computer Vision, Curvature Pro Le, ECCV 1994, Ers Natural Scale, Intrinsic Stabilizers, Smoothness Constraints, Tikhonov Stabilizers