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Locally Refined B-Splines
The univariate minimal support B-spline basis (UMB) has been used in Computer Aided Design (CAD) since the 1970s. Freeform curves use UMB, while...
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Deal.t: an implementation of multivariate analysis suitable T-splines within the deal.ii framework
We present a numerical framework for solving partial differential equations within an isogeometric context using T-splines in two and three space...
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THB-Diff: a GPU-accelerated differentiable programming framework for THB-splines
We have developed a differentiable programming framework for truncated hierarchical B-splines (THB-splines), which can be used for several...
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Fast algorithms for interpolation and smoothing for a general class of fourth order exponential splines
In this work, a general class of interpolation and smoothing natural exponential splines with respect to fourth order differential operators with two...
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Analytic evaluation of the FCC Voronoi-splines
We propose an analytic evaluation algorithm for splines and their derivatives (gradient and Hessian) of FCC volume datasets based on the...
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Consistent Approximation of Interpolating Splines in Image Metamorphosis
This paper investigates a variational model for splines in the image metamorphosis model for the smooth interpolation of key frames in the space of...
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Automatic search intervals for the smoothing parameter in penalized splines
The selection of smoothing parameter is central to the estimation of penalized splines. The best value of the smoothing parameter is often the one...
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Minimizing Cross Intersections in Graph Drawing via Linear Splines
The generation of aesthetically pleasing graph layouts is the main purpose of Graph Drawing techniques. Recent contributions delved into the usage of...
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K-Splines on SPD Manifolds
Symmetric positive definite (SPD) matrices are widely used in data science applications. In computer vision, for instance, image and video...
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Neural networks vs. splines: advances in numerical extruder design
In this paper, we present a novel approach to geometry parameterization that we apply to the design of mixing elements for single-screw extruders....
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LR B-Splines for Representation of Terrain and Seabed: Data Fusion, Outliers, and Voids
Performing surface approximation of geospatial point clouds with locally refined (LR) B-splines comes with several challenges: (i) Point clouds have...
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Conversion Between Cubic Bezier Curves and Catmull–Rom Splines
Splines are one of the main methods of mathematically representing complicated shapes, which have become the primary technique in the fields of...
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An Efficient Algorithm for Degree Reduction of MD-Splines
This paper analyzes the computational time complexity of the previously proposed methods for constructing dual basis functions. It presents a method...
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Multi-objective Genetic Programming with the Adaptive Weighted Splines Representation for Symbolic Regression
Genetic Programming (GP) based symbolic regression is prone to generating complex models which often overfit the training data and generalise poorly...
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A Statistical Criterion to Judge the Goodness of Fit of LR B-Splines Surface Approximation
The surface approximation obtained with adaptive strategies using locally refined (LR) B-splines depends on the degrees of freedom of the spline...
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Enabling Non-linear Quantum Operations Through Variational Quantum Splines
One of the major issues for building a complete quantum neural network is the implementation of non-linear activation functions in a quantum...
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Splines for Image Metamorphosis
Cubic splines are a classical tool for higher order interpolation of points in Euclidean space known to minimize the integral of the squared...
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Turning Meshes into B-reps with T-splines
This paper presents the first results of a semi-automatic procedure able to turn tetra-meshes into solid models using T-splines. The paper deals with...