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<title>Unifying approach and interface for spline-based snakes</title>
Author(s) -
Mathews Jacob,
Thierry Blu,
Michaël Unser
Publication year - 2001
Publication title -
proceedings of spie, the international society for optical engineering/proceedings of spie
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.192
H-Index - 176
eISSN - 1996-756X
pISSN - 0277-786X
DOI - 10.1117/12.431105
Subject(s) - initialization , bounded function , spline (mechanical) , computer science , curvature , constraint (computer aided design) , interpolation (computer graphics) , algorithm , smoothness , mathematical optimization , mathematics , artificial intelligence , image (mathematics) , geometry , mathematical analysis , engineering , structural engineering , programming language
In this paper, we present different solutions for improving spline-based snakes. First, we demonstrate their minimum curvature interpolation property, and use it as an argument to get rid of the explicit smoothness constraint. We also propose a new external energy obtained by integrating a non-linearly pre-processed image in the closed region bounded by the curve. We show that this energy, besides being efficiently computable, is sufficiently general to include the widely used gradient-based schemes, Bayesian schemes, their combinations and discriminant-based approaches. We also introduce two initialization modes and the appropriate constraint energies. We use these ideas to develop a general snake algorithm to track boundaries of closed objects, with a user-friendly interface.

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