Visualization and analysis of second‐order tensors: Moving beyond the symmetric positive‐definite case

A Kratz, C Auer, M Stommel, I Hotz - Computer Graphics Forum, 2013 - Wiley Online Library
Tensors provide a powerful language to describe physical phenomena. Consequently, they
have a long tradition in physics and appear in various application areas, either as the final …

A survey on visualization of tensor field

C Bi, L Yang, Y Duan, Y Shi - Journal of Visualization, 2019 - Springer
Tensor field has been widely used in various applications, such as medical imaging,
industrial manufacturing, high-dimensional data analysis, and so forth. However, it is a …

[HTML][HTML] Framework for automatic generation of facades on free-form surfaces

D Andrade, M Harada, K Shimada - Frontiers of Architectural Research, 2017 - Elsevier
New design tools have created a growing interest for presenting complex geometries and
patterns. The need to form curved geometries of facades, without incurring high construction …

4th order diffusion tensor interpolationwith divergence and curl constrained bézier patches

I Yassine, T McGraw - … on Biomedical Imaging: From Nano to …, 2009 - ieeexplore.ieee.org
We present a tensor field interpolation method based on tensor-valued Bezier patches. The
control points of the patch are determined by imposing physical constraints on the …

Tensor decomposition processes for interpolation of diffusion magnetic resonance imaging

HD Vargas-Cardona, ÁA Orozco, AM Álvarez… - Expert Systems with …, 2019 - Elsevier
Diffusion magnetic resonance imaging (dMRI) is an established medical technique used for
describing water diffusion in an organic tissue. Typically, rank-2 or 2nd-order tensors …

Art-directable cloud animation

Y Wang, T McGraw - Advances in Visual Computing: 16th International …, 2021 - Springer
Volumetric cloud generation and rendering algorithms are well-developed to meet the need
for a realistic sky appearance in animation or games. However, it is challenging to create a …

High rank tensor and spherical harmonic models for diffusion MRI processing

IA Yassine - 2010 - researchrepository.wvu.edu
Diffusion tensor imaging (DTI) is a non-invasive quantitative method of characterizing tissue
micro-structure. Diffusion imaging attempts to characterize the manner by which the water …

A Tucker decomposition process for probabilistic modeling of diffusion magnetic resonance imaging

HDV Cardona, MA Alvarez, AA Orozco - arXiv preprint arXiv:1606.07970, 2016 - arxiv.org
Diffusion magnetic resonance imaging (dMRI) is an emerging medical technique used for
describing water diffusion in an organic tissue. Typically, rank-2 tensors quantify this …

An Energy-Based Residual Stress Field Reconstruction Approach Using Limited Measurements

HB Liu, YP Li, YQ Wang… - ASME …, 2015 - asmedigitalcollection.asme.org
To characterize the residual stress distribution is very crucial for workpiece fatigue lifetime
and structural integrity assessment. An energy-based residual stress field reconstruction …

[引用][C] 张量值图像插值方法综述

邵宇, 刘莹, 孙富春 - 中国图象图形学报, 2012