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Reconstruction of Curves

2013
There are several ways to define a curve in the plane. For example, explicitly parameterized as a continuous function f:[0,1]→ℝ2, or (as in the case of an affine algebraic curve) implicitly as the zero set of a bivariate polynomial. For some technical applications, there are different ways of representing a curve which are more useful in those contexts,
Michael Joswig, Thorsten Theobald
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Reconstructing Curves without Delaunay Computation

Algorithmica, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sumanta Guha, Son Dinh Tran
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FAST RECONSTRUCTION OF CURVES WITH SHARP CORNERS

International Journal of Computational Geometry & Applications, 2002
We present an algorithm to reconstruct a collection of piecewise smooth simple closed curves in the plane from a set of n sample points in O(n log n) time We prove our algorithm correctly reconstructs the curves assuming certain sampling conditions which are based on the minimum angle made by tangents at any corner point but does not include any ...
Tamal K. Dey, Rephael Wenger
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Reconstructing collections of arbitrary curves

Proceedings of the twenty-first annual symposium on Computational geometry, 2005
The presented alg rithm rec nstructs collections of arbitrary curves (open, closed, smooth, with corners, with or without intersections). The algorithm is very simple and short and follows a novel and simple greedy strategy. The corner and intersection points are not required to but allowed to be in the sample.
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Reconstruction of the curve of Spee

Stomatologie, 2008
AIM: The construction of a flat occlusal plane or one showing a haphazard curvature does not correspond to the concept of "best practice" in restorative dentistry. Unlike a flat reconstruction, a correct occlusal curvature allows mandibular translation without occlusal interferences in the posterior segment, Furthermore masticatory efficiency on the ...
J.-P. Ré   +5 more
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RECONSTRUCTION OF CURVED PARTICLE STREAK TRAJECTORIES

Journal of Flow Visualization and Image Processing, 2008
We present a method for reconstructing curved particle trajectories from particle streak velocimetry. The reflection properties of a particle are modeled as a point light source. The mapping of the particle on the image is spread by the point spread function of the camera lens.
Rosenstiel, Marcus, Grigat, Rolf-Rainer
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Analysis of Curve Reconstruction by Meshless Parameterization

Numerical Algorithms, 2003
A method called meshless parameterization is proposed for curve reconstruction. It is based on mapping the points into the real axis, by solving a sparse linear system, and ordering them. Sufficient discrete conditions on the samples points are derived ensuring that the points are ordered correctly.
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3D curve reconstruction by biplane snakes

Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, 2002
Stent implantation for coronary disease treatment is a highly important minimally invasive technique that avoids surgery interventions. In order to assure the success of such an intervention, it is very important to determine the real length of the lesion as exactly as possible.
Cristina Cañero Morales   +4 more
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3D curve interpolation and object reconstruction

IEEE International Conference on Image Processing 2005, 2005
Three dimensional objects viewed as surfaces or volumes embedded in /spl Ropf//sup 3/, are usually sampled along the z-dimension by planes for rendering or modeling purposes. The resulting intersections are curves or planar shapes which may in turn be modeled for parsimony of representation. Each curve or planar shape may be viewed as a point in a high
Sajjad Baloch   +3 more
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Tomographic reconstruction using curve evolution

Proceedings IEEE Conference on Computer Vision and Pattern Recognition. CVPR 2000 (Cat. No.PR00662), 2002
In this paper, we develop a new approach to tomographic reconstruction problems based on geometric curve evolution techniques. We use a low order parametric model to describe the shape and texture of the object support as well as the background. This model uses a set of texture coefficients to represent the object and background inhomogeneities and a ...
Haihua Feng   +2 more
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