Browsing SINTEF Digital by Journals "Computer Aided Geometric Design"
Now showing items 1-7 of 7
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A Hermite interpolatory subdivision scheme for C2-quintics on the Powell-Sabin 12-split
(Journal article; Peer reviewed, 2014)In order to construct a C1C1-quadratic spline over an arbitrary triangulation, one can split each triangle into 12 subtriangles, resulting in a finer triangulation known as the Powell–Sabin 12-split. It has been shown ... -
Binary segmentation of medical images using implicit spline representations and deep learning
(Peer reviewed; Journal article, 2021)We propose a novel approach to image segmentation based on combining implicit spline representations with deep convolutional neural networks. This is done by predicting the control points of a bivariate spline function ... -
Detecting symmetries of rational plane and space curves
(Journal article; Peer reviewed, 2014)This paper addresses the problem of determining the symmetries of a plane or space curve defined by a rational parametrization. We provide effective methods to compute the involution and rotation symmetries for the planar ... -
Linear dependence of bivariate Minimal Support and Locally Refined B-splines over LR-meshes
(Journal article; Peer reviewed, 2019)The focus on locally refined spline spaces has grown rapidly in recent years due to the need in Isogeometric Analysis (IgA) of spline spaces with local adaptivity: a property not offered by the strict regular structure of ... -
Reverse engineering of CAD models via clustering and approximate implicitization
(Peer reviewed; Journal article, 2020)In applications like computer aided design, geometric models are often represented numerically as polynomial splines or NURBS, even when they originate from primitive geometry. For purposes such as redesign and isogeometric ... -
Symmetries of canal surfaces and Dupin cyclides
(Journal article; Peer reviewed, 2017)We develop a characterization for the existence of symmetries of canal surfaces defined by a rational spine curve and rational radius function. In turn, this characterization inspires an algorithm for computing the symmetries ... -
Symmetry Detection of Rational Space Curves from their Curvature and Torsion
(Journal article; Peer reviewed, 2015)We present a novel, deterministic, and efficient method to detect whether a given rational space curve is symmetric. By using well-known differential invariants of space curves, namely the curvature and torsion, the method ...