2016
DOI: 10.1109/jsen.2015.2496283
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Acceleration and Magnetic Sensor Network for Shape Sensing

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Cited by 34 publications
(36 citation statements)
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“…The next step is to smooth the orientations and ensure the consistency of surface normals at intersections of curves. To this end we use a variant of smoothing splines on the manifold SO (3). Recall that a smoothing spline x : [t 0 , t N ] → R n for a set of points p i ∈ R n minimizes the energy…”
Section: C) Filtering By Regression On So(3)mentioning
confidence: 99%
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“…The next step is to smooth the orientations and ensure the consistency of surface normals at intersections of curves. To this end we use a variant of smoothing splines on the manifold SO (3). Recall that a smoothing spline x : [t 0 , t N ] → R n for a set of points p i ∈ R n minimizes the energy…”
Section: C) Filtering By Regression On So(3)mentioning
confidence: 99%
“…Previous works on shape from sensors proposed devices with a fixed connectivity and known distances between sensor nodes: the sensors were organized uniformly on a 1D ribbon [1] or on a regular 2D grid [2,3]. Multiple ribbons were employed to acquire networks of curves on a surface, using a comb structure [4] or patches with boundary from geodesic curves [5].…”
Section: Introduction and Related Workmentioning
confidence: 99%
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“…We aim to reconstruct the galloping curves via tangential information with a length constraint using few attitude sensors, which do not need to know the spatial position of the conductor obtained using DGPS technology. There have been a few studies of shape sensing using attitude sensors, such as Morphosense (a flexible ribbon-like device) [25] and Human wearing vest (with integrated shape sensing sensor array) [26]. The author in [25] proposed a spatial interpolation with a Pythagorean-hodograph, which has better reconstruction performance than does the natural cubic spline method.…”
Section: Introductionmentioning
confidence: 99%
“…However, this method requires extensive iterative computations, which is not suitable for a real-time galloping monitoring system. Reference [26] presented a fast computation algorithm for the global shape reconstruction. Since the reconstruction precision is notably limited, many sensors must be used to ensure the reconstruction performance.…”
Section: Introductionmentioning
confidence: 99%