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This problem is a special case of level set methods.
The figure on the right illustrates several important ideas about the level set method.
An important non-parametric approach is the level set method.
This technique can be coupled with level set method.
The idea of using a function to represent the shape is at the basis of the level set method.
While consistently efficient in time, storage space is still required by the sparse field level set method.
Multivac is a C++ library for front tracking in 2D with level set methods.
Corbett in 2005 introduced the point-based level set method.
James Sethian's web page on level set method.
This work led to development of the level set method in 1988, which was developed jointly with Stanley Osher.
All major segmentation methods have been reported on cell images, from simple thresholding to level set methods.
The calculus of variations and level set methods can be used as a mathematical framework for investigating solutions of the problem.
James A. Sethian, co-developer of level set methods.
A number of level set data structures have been developed to facilitate the use of the level set method in computer applications.
This time complexity was eliminated in the approximate "sparse field" level set method introduced by Whitaker in 1998.
Homogenization method and level set method.
Algorithms for calculating the signed distance function include the efficient fast marching method and the more general but slower level set method.
The sparse field level set method employs a set of linked lists to track the active voxels around the interface.
The level set method (LSM) is a numerical technique for tracking interfaces and shapes.
Fedkiw's team's innovative "particle level set method" allows both smooth surfaces and water breakdown renderings including water spray.
This general technique was extended by Fedkiw & collaborators to handle complex 3d water simulations using the level set method in papers in 2001 and 2002.
Segmentation tools (e.g. thresholding, floodfill, level set methods, etc.)
The level set method was developed in the 1980s by the American mathematicians Stanley Osher and James Sethian.
All these make the level set method a great tool for modeling time-varying objects, like inflation of an airbag, or a drop of oil floating in water.
ITK-SNAP provides automatic functionality segmentation using the level set method.