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Filtering by: Advisor Zhang, Eugene Remove constraint Advisor: Zhang, Eugene Decade 2010-2019 Remove constraint Decade: 2010-2019

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  • Coincident Nodes Multi-Edge Graph for Simultaneous Decision and Objective Space Multi-Dimensional Visualization

    Creator:
    Guizani, Mariam
    Abstract:
    The importance of data visualization is becoming increasingly more substantial to the field of optimization and engineering design where a carefully designed visualization of the data on decision parameters (i.e Decision Space) and performance functions (i.e Objective Space) is critical to the success of the decision making process. One of...
    Resource Type:
    Masters Thesis
    Full Text:
    approved: Eugene Zhang The importance of data visualization is becoming increasingly more substantial to

  • Interactive design and transition point analysis of 3D linear symmetric tensor fields

    Creator:
    Sharma, Ritesh
    Abstract:
    3D symmetric tensor fields have a wide range of applications, such as in solid and fluid mechanics, medical imaging, meteorology, molecular dynamics, geophysics and computer graphics. There has been much research carried out in this field, yet our knowledge of the tensor field is still at its initial stage to...
    Resource Type:
    Masters Thesis
    Full Text:
    Transition Point Analysis of 3D Linear Symmetric Tensor Fields Abstract approved: Eugene Zhang 3D

  • Branched Covering Space Construction and Visualization

    Creator:
    Golbabaei, Sanaz
    Abstract:
    Branched covering spaces are a mathematical concept which originates from complex analysis and topology and has found applications in tensor field topology and geometry re-meshing. Given a manifold surface and an N-way rotational symmetry field, a branched covering space is a manifold surface that has an N-to-1 map to the...
    Resource Type:
    Masters Thesis
    Full Text:
    (BCS) Construction and Visualization Abstract approved: Eugene Zhang Branched covering spaces are a

  • Tensor Field Design and Analysis for Applications in Computer Graphics and Scientific Visualization

    Creator:
    Palacios, Jonathan
    Abstract:
    Many applications in computer graphics and geometry processing rely on the ability to locally orient 2D and 3D entities on a surface, or inside a volume, such as the sinusoidal kernels in Gabor noise, the color and geometry textures in pattern synthesis, and the finite elements in remeshing. In these...
    Resource Type:
    Dissertation
    Full Text:
    approved: Eugene Zhang Many applications in computer graphics and geometry processing rely on the ability

  • 2D second-order asymmetric tensor field analysis and visualization

    Creator:
    Lin, Zhongzang
    Abstract:
    The gradient of a velocity vector field is an asymmetric tensor field which can provide critical insight that is difficult to infer from traditional trajectory-based vector field visualization techniques. I describe the structures in the eigenvalue and eigenvector fields of the gradient tensor and how these structures can be used...
    Resource Type:
    Masters Thesis
    Full Text:
    Tensor Field Analysis and Visualization Abstract approved: Eugene Zhang The gradient of a velocity

  • Hybrid visualization of asymmetric tensor fields : glyphs and hyperstreamlines

    Creator:
    Palke, Darrel
    Abstract:
    Asymmetric tensor fields are useful for understanding fluid flow and solid deformation. They present new challenges, however, for traditional tensor field visualization techniques such as hyperstreamline placement and glyph packing. This is because the physical behavior of tensors inside real domains where eigenvalues are real is fundamentally different from the...
    Resource Type:
    Masters Thesis
    Full Text:
    Asymmetric Tensor Fields: Glyphs and Hyperstreamlines Abstract approved: Eugene Zhang Asymmetric tensor

  • Applying 2D Tensor Field Topology to Symmetric Stress Tensors

    Creator:
    Gao, Xiaofei
    Abstract:
    Tensor mathematics provides a powerful language to visualize and analyze physical phenomena. In the last three decades, tensors have been used in various application areas. The visualization and analysis of tensors fields have seen much advance, both in 2D and 3D. However, the physical interpretations of the topological analysis are...
    Resource Type:
    Masters Thesis
    Full Text:
    Topology to Symmetric Stress Tensors Abstract approved: Eugene Zhang Yue Zhang Tensor mathematics