Wang, D., Tang, Y., Yu, H. and Tang, Z., 2003. Level set methods based on distance function. Applied Mathematics and Mechanics, 24 (8), pp. 950-960.
Full text not available from this repository.
Official URL: http://www.springerlink.com/content/h15111875vv777...
Some basic problems on the level set methods were discussed, such as the method used to preserve the distance function, the existence and uniqueness of solution for the level set equations. The main contribution is to prove that in a neighborhood of the initial zero level set, the level set equations with the restriction of the distance function have a unique solution, which must be the signed distance function with respect to the evolving surface. Some skillful approaches were used: Noticing that any solution for the original equation was a distance function, the original level set equations were transformed into a simpler alternative form. Moreover, since the new system was not a classical one, the system was transformed into an ordinary one, for which the implicit function method was adopted.
|Uncontrolled Keywords:||level set methods - distance function - existence and uniqueness of the solution|
|Subjects:||Science > Mathematics|
|Group:||Media School > National Centre for Computer Animation|
|Deposited By:||Mr Hongchuan Yu|
|Deposited On:||29 Apr 2010 20:17|
|Last Modified:||07 Mar 2013 15:26|
|Repository Staff Only -|
|BU Staff Only -|
|Help Guide -||Editing Your Items in BURO|