TY - JOUR
T1 - A Piecewise Constant Level Set Framework
AU - J. Lie, M. Lysaker & X.-C. Tai
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 422
EP - 438
PY - 2005
DA - 2005/02
SN - 2
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/939.html
KW - image segmentation, image processing, PDE, variational, level set, piecewise constant level set.
AB - <p style="text-align: justify;">In this work we discuss variants of a PDE based level set
method. Traditionally interfaces are represented by the zero level set
of continuous level set functions. We instead use piecewise constant
level set functions, and let interfaces be represented by
discontinuities. Some of the properties of the standard level set
function are preserved in the proposed method. Using the methods for
interface problems, we need to minimize a smooth convex functional under
a constraint. The level set functions are discontinuous at convergence,
but the minimization functional is smooth and locally convex. We show
numerical results using the methods for segmentation of digital images.</p>