9,155 research outputs found
A Novel Euler's Elastica based Segmentation Approach for Noisy Images via using the Progressive Hedging Algorithm
Euler's Elastica based unsupervised segmentation models have strong
capability of completing the missing boundaries for existing objects in a clean
image, but they are not working well for noisy images. This paper aims to
establish a Euler's Elastica based approach that properly deals with random
noises to improve the segmentation performance for noisy images. We solve the
corresponding optimization problem via using the progressive hedging algorithm
(PHA) with a step length suggested by the alternating direction method of
multipliers (ADMM). Technically, all the simplified convex versions of the
subproblems derived from the major framework of PHA can be obtained by using
the curvature weighted approach and the convex relaxation method. Then an
alternating optimization strategy is applied with the merits of using some
powerful accelerating techniques including the fast Fourier transform (FFT) and
generalized soft threshold formulas. Extensive experiments have been conducted
on both synthetic and real images, which validated some significant gains of
the proposed segmentation models and demonstrated the advantages of the
developed algorithm
Fast tomographic inspection of cylindrical objects
This paper presents a method for improved analysis of objects with an axial
symmetry using X-ray Computed Tomography (CT). Cylindrical coordinates about an
axis fixed to the object form the most natural base to check certain
characteristics of objects that contain such symmetry, as often occurs with
industrial parts. The sampling grid corresponds with the object, allowing for
down-sampling hence reducing the reconstruction time. This is necessary for
in-line applications and fast quality inspection. With algebraic reconstruction
it permits the use of a pre-computed initial volume perfectly suited to fit a
series of scans where same-type objects can have different positions and
orientations, as often encountered in an industrial setting. Weighted
back-projection can also be included when some regions are more likely subject
to change, to improve stability. Building on a Cartesian grid reconstruction
code, the feasibility of reusing the existing ray-tracers is checked against
other researches in the same field.Comment: 13 pages, 13 figures. submitted to Journal Of Nondestructive
Evaluation (https://www.springer.com/journal/10921
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