Multiplierless Mumford and Shah Functional Implementation
نویسندگان
چکیده
منابع مشابه
Multiplierless Mumford and Shah Functional Implementation
This paper proposes the implementation of the Mumford and Shah functional without using complex operations as multiplications and divisions. Our goal is to show that the achieved results in terms of performance/complexity trade-off are well suited for video applications of the Mumford and Shah functional, such as motion estimation based on segmentation techniques. To this purpose two implementa...
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Ω |∇u| dx+ cH(Su) where u ∈ SBV (Ω), the space of special functions of bounded variation; Su is the approximate discontinuity set of u and Hn−1 is the (n− 1)-dimensional Hausdorff measure. Several approximation methods are known for the MumfordShah functional and, more in general, for free discontinuity functionals: the Ambrosio & Tortorelli approximation (see [1] and [3]) via elliptic function...
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In this work, we first address the problem of simultaneous image segmentation and smoothing by approaching the Mumford-Shah paradigm from a curve evolution perspective. In particular, we let a set of deformable contours define the boundaries between regions in an image where we model the data via piecewise smooth functions and employ a gradient flow to evolve these contours. Each gradient step ...
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In this paper we present a video segmentation procedure obtained minimizing a modified version of the simplified Mumford Shah functional used for image partition. This procedure uses a graph with spatial and temporal connections to model a video sequence. The temporal connections are defined pre-computing the dense optical flow using methods available in the literature. To simplify the function...
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ژورنال
عنوان ژورنال: Circuits, Systems, and Signal Processing
سال: 2010
ISSN: 0278-081X,1531-5878
DOI: 10.1007/s00034-010-9244-y