[HTML][HTML] On the completeness of hierarchical tensor-product B-splines

D Mokriš, B Jüttler, C Giannelli - Journal of Computational and Applied …, 2014 - Elsevier
Given a grid in R d, consisting of d bi-infinite sequences of hyperplanes (possibly with
multiplicities) orthogonal to the d axes of the coordinate system, we consider the spaces of …

A two-stage restoration of distorted underwater images using compressive sensing and image registration

Z Zhang, YG Tang, K Yang - Advances in Manufacturing, 2021 - Springer
Imaging through a time-varying water surface exhibits severe non-rigid geometric distortions
and motion blur. Theoretically, although the water surface possesses smoothness and …

Structural information reconstruction of distorted underwater images using image registration

T Sun, Y Tang, Z Zhang - Applied Sciences, 2020 - mdpi.com
Featured Application The proposed method can be applied to the restoration for turbulence
degraded video in nuclear power plant reactors, underwater target or aerial target …

Bivariate hierarchical Hermite spline quasi-interpolation

C Bracco, C Giannelli, F Mazzia, A Sestini - BIT Numerical Mathematics, 2016 - Springer
Spline quasi-interpolation (QI) is a general and powerful approach for the construction of low
cost and accurate approximations of a given function. In order to provide an efficient …

TDHB-splines: The truncated decoupled basis of hierarchical tensor-product splines

D Mokriš, B Jüttler - Computer Aided Geometric Design, 2014 - Elsevier
We introduce a novel basis for multivariate hierarchical tensor-product spline spaces. Our
construction combines the truncation mechanism (Giannelli et al., 2012) with the idea of …

Bicubic hierarchical B-splines: Dimensions, completeness, and bases

C Zeng, F Deng, J Deng - Computer Aided Geometric Design, 2015 - Elsevier
In this paper, we discuss the bicubic C 2 spline spaces over hierarchical T-meshes in detail.
The topological explanation of the dimension formula is further explored. We provide three …

Completeness of generating systems for quadratic splines on adaptively refined criss-cross triangulations

B Jüttler, D Mokriš, U Zore - Computer Aided Geometric Design, 2016 - Elsevier
Hierarchical generating systems that are derived from Zwart–Powell (ZP) elements can be
used to generate quadratic splines on adaptively refined criss-cross triangulations. We …

[PDF][PDF] Spectral Stochastic Isogeometric Analysis

K Li - 2019 - unsworks.unsw.edu.au
In the last century, computer is not as powerful and popular as it is today. All the drawing
work of engineering projects was done manually. Then, the development of computers and …

3.15 Bounding Circular Arcs for a Dynamic Bounding Volume Hierarchy

MS Kim - Geometric Modeling - scholar.archive.org
We consider the construction of dynamic bounding volume hierarchy (BVH) for planar
freeform curves under deformation. For this purpose, we employ the Bounding Circular Arcs …

[PDF][PDF] On the Completeness of Hierarchical Tensor-Product B-Splines D. Mokriš, B. Jüttler, C. Giannelli

D Mokriš - 2013 - gs.jku.at
Given a grid in Rd, consisting of d bi-infinite sequences of hyperplanes (possibly with
multiplicities) orthogonal to the d axes of the coordinate system, we consider the spaces of …