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  1. No Access

    Chapter and Conference Paper

    Towards Topological Analysis of Non-symmetric Tensor Fields via Complexification

    Fields of asymmetric tensors play an important role in many applications such as medical imaging (diffusion tensor magnetic resonance imaging), physics, and civil engineering (for example Cauchy-Green-deformat...

    Bernhard Burgeth, Andreas Kleefeld in Discrete Geometry and Mathematical Morphol… (2022)

  2. Chapter and Conference Paper

    Degenerate Curve Bifurcations in 3D Linear Symmetric Tensor Fields

    3D symmetric tensor fields have a wide range of applications in medicine, science, and engineering. The topology of tensor fields can provide key insight into their structures. In this paper we study the numbe...

    Yue Zhang, Hongyu Nie, Eugene Zhang in Anisotropy Across Fields and Scales (2021)

  3. No Access

    Chapter and Conference Paper

    Maximum Number of Transition Points in 3D Linear Symmetric Tensor Fields

    Transition points are well defined topological features in 3D tensor fields, which are important for the study of other prominent topological singularities such as wedges and trisectors. In this paper, we stud...

    Yue Zhang, Lawrence Roy, Ritesh Sharma in Topological Methods in Data Analysis and V… (2020)

  4. No Access

    Chapter and Conference Paper

    Applying 2D Tensor Field Topology to Solid Mechanics Simulations

    There has been much work in the topological analysis of symmetric tensor fields, both in 2D and 3D. However, there has been relatively little work in the physical interpretations of the topological analysis, s...

    Yue Zhang, **aofei Gao, Eugene Zhang in Modeling, Analysis, and Visualization of Anisotropy (2017)

  5. No Access

    Chapter and Conference Paper

    Maximum Number of Degenerate Curves in 3D Linear Tensor Fields

    3D symmetric tensor fields have a wide range of applications in science and engineering. The topology of a symmetric tensor field, which consists of degenerate curves , can provide critical insights into the b...

    Yue Zhang, Yu-Jong Tzeng, Eugene Zhang in Topological Methods in Data Analysis and V… (2017)

  6. No Access

    Article

    A robust hybrid image-based modeling system

    This paper presents a new robust image-based modeling system for creating high-quality 3D models of complex objects from a sequence of unconstrained photographs. The images can be acquired by a video camera or...

    Hoang Minh Nguyen, Burkhard Wünsche, Patrice Delmas in The Visual Computer (2016)

  7. Article

    Erratum to: Optical illusion shape texturing using repeated asymmetric patterns

    Ming-Te Chi, Chih-Yuan Yao, Eugene Zhang, Tong-Yee Lee in The Visual Computer (2015)

  8. Article

    Open Access

    Automated nutrient screening system enables high-throughput optimisation of microalgae production conditions

    Microalgae provide an excellent platform for the production of high-value-products and are increasingly being recognised as a promising production system for biomass, animal feeds and renewable fuels.

    Khairul Adzfa Radzun, Juliane Wolf, Gisela Jakob in Biotechnology for Biofuels (2015)

  9. No Access

    Chapter and Conference Paper

    Topology of 3D Linear Symmetric Tensor Fields

    There has been much research in 3D symmetric tensor fields, including recent work on tensor field topology. In this book chapter, we apply these research results to the most fundamental types of 3D tensor fiel...

    Yue Zhang, Jonathan Palacios, Eugene Zhang in Visualization and Processing of Higher Ord… (2015)

  10. No Access

    Chapter

    Genetic Engineering for Microalgae Strain Improvement in Relation to Biocrude Production Systems

    An advanced understanding of the genetics of microalgae and the availability of molecular biology tools are both critical to the development of advanced strains, which offer efficiency advantages for primary p...

    Evan Stephens, Juliane Wolf, Melanie Oey in Biomass and Biofuels from Microalgae (2015)

  11. No Access

    Chapter and Conference Paper

    3D Symmetric Tensor Fields: What We Know and Where To Go Next

    Tensor fields are an active research topic in scientific visualization, medical imaging, image processing, and computer graphics. Not only are tensor fields of great importance in many of these domains, they a...

    Eugene Zhang, Yue Zhang in Topological and Statistical Methods for Complex Data (2015)

  12. No Access

    Article

    Optical illusion shape texturing using repeated asymmetric patterns

    Illusory motions refer to the phenomena in which static images composed of certain colors and patterns lead to the illusion of motions. This paper presents an approach for generating illusory motions on 3D sur...

    Ming-Te Chi, Chih-Yuan Yao, Eugene Zhang, Tong-Yee Lee in The Visual Computer (2014)

  13. No Access

    Chapter

    Future Challenges and Unsolved Problems in Multi-field Visualization

    Evaluation, solved and unsolved problems, and future directions are popular themes pervading the visualization community over the last decade. The top unsolved problem in both scientific and information visual...

    Robert S. Laramee, Hamish Carr, Min Chen, Helwig Hauser in Scientific Visualization (2014)

  14. No Access

    Chapter and Conference Paper

    Top Challenges in the Visualization of Engineering Tensor Fields

    In this chapter we summarize the top research challenges in creating successful visualization tools for tensor fields in engineering. The analysis is based on our collective experiences and on discussions w...

    Mario Hlawitschka, Ingrid Hotz, Andrea Kratz in Visualization and Processing of Tensors an… (2014)

  15. No Access

    Chapter and Conference Paper

    Tensors in Geometry Processing

    Tensor fields have a wide range of applications outside scientific visualization. In this chapter, we review various types of tensors used in geometry processing, including their properties, application requir...

    Eugene Zhang in Visualization and Processing of Tensors an… (2014)

  16. No Access

    Chapter

    Derived Fields

    This chapter reviews various methods for multifield visualization that are based on the notion of derived fields. The derived fields are categorized based on properties like the number and type of input fields...

    Eugene Zhang, Vijay Natarajan in Scientific Visualization (2014)

  17. No Access

    Chapter

    NPR for Traditional Artistic Genres

    One of the original goals of NPR research is to develop rendering techniques that produce images and videos with the appearances of traditional artistic genres such as painting and hatching. In this chapter we...

    Eugene Zhang in Image and Video-Based Artistic Stylisation (2013)

  18. No Access

    Chapter

    2D Asymmetric Tensor Field Topology

    In this chapter we define the topology of two-dimensional (2D) asymmetric tensor fields in terms of two graphs corresponding to the eigenvalue and eigenvector analysis for tensor fields, respectively. Asymmetr...

    Zhongzang Lin, Harry Yeh, Robert S. Laramee in Topological Methods in Data Analysis and V… (2012)

  19. No Access

    Chapter and Conference Paper

    Tensor Field Design: Algorithms and Applications

    Tensor field design has found increasing applications in computer graphics, geometry processing, and scientific visualization. In this chapter, we review recent advances in tensor field design and discuss poss...

    Eugene Zhang in New Developments in the Visualization and Processing of Tensor Fields (2012)

  20. No Access

    Chapter

    Bringing Topology-Based Flow Visualization to the Application Domain

    The visualization community is currently witnessing strong advances in topology-based flow visualization research. Numerous algorithms have been pro posed since the introduction of this class of approaches in ...

    Robert S. Laramee, Guoning Chen in Topology-Based Methods in Visualization II (2009)