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A Line Integral Convolution Method With Dynamically Determining Step Size and Interpolation Mode for vector field visualization

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IEEE ACCESS 2019年 7卷 19414-19422页

作者： Qin, Xujia Fang, Xia Chen, Louheng Zheng, Hongbo Ma, Ji Zhang, Meiyu Zhejiang Univ Technol Coll Comp Sci & Technol Hangzhou 310023 Zhejiang Peoples R China

The line integral convolution method can obtain a continuous and dense vector streamline texture. The traditional fixed step size gets larger texture noise, while the exact calculation step method (such as the Runge-Kutta method) is time-consuming. In the process of generating streamline texture, if using bilinear interpolation calculation, we can get the method of calculating the point vector value, and it is also time-consuming. To address the above-mentioned problems, the line integral convolution method for dynamically determining integral step size and interpolation mode is proposed. The effect of streamline drawing mainly depends on the size of the integration step and the interpolation mode. The method proposed in this paper gives the rules for determining the integration step size and interpolation mode according to the vector speed size and the angle between two vectors. The experimental results show that compared with the previous fixed step method and the bilinear interpolation method, the proposed method not only has faster computation speed but also clearer texture and stronger contrast.

关键词： vector field visualization line integral convolution streamline texture integral step size

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Enhanced vector field visualization via Lagrangian accumulation

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COMPUTERS & GRAPHICS-UK 2018年 70卷 224-234页

作者： Zhang, Lei Duong Nguyen Thompson, David Laramee, Robert Chen, Guoning Univ Houston Houston TX 77004 USA Mississippi State Univ Starkville MS USA Swansea Univ Swansea W Glam Wales

In this paper, we revisit the Lagrangian accumulation process that aggregates the local attribute information along integral curves for vector field visualization. Similar to the previous work, we adopt the notation of the Lagrangian accumulation field or A field for the representation of the accumulation results. In contrast to the previous work, we provide a more in-depth discussion on the properties of A fields and the meaning of the patterns exhibiting in A fields. In particular, we revisit the discontinuity in the A fields and provide a thorough explanation of its relation to the flow structure and the additional information about the flow that it may reveal. In addition, other remaining questions about the A field, such as its sensitivity to the selection of integration time, are also addressed. Based on these new in-sights, we demonstrate a number of enhanced flow visualizations aided by the accumulation framework and the A fields, including a new A field guided ribbon placement, an A field guided stream surface seeding and the visualization of particle-based flow data. To further demonstrate the generality of the accumulation framework, we extend it to the non-integral geometric curves (i.e., streak lines), which enable us to reveal information about the flow behavior other than those revealed by the integral curves. Finally, we introduce the Eulerian accumulation, which can reveal different flow behaviors than those revealed by Lagrangian accumulation. In summary, we believe that Lagrangian accumulation and the resulting A fields offer a valuable means to investigate flow behavior complementary to the current state-of-the-art techniques. (C) 2017 Elsevier Ltd. All rights reserved.

关键词： vector field visualization Integral curves Aggregation

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Intelligent vector field visualization based on line integral convolution

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COGNITIVE SYSTEMS RESEARCH 2018年 52卷 828-842页

作者： Tang Bin Shi Hongxia Harbin Engn Univ Coll Shipbldg Engn Harbin 150001 Heilongjiang Peoples R China Harbin Engn Univ Coll Comp Sci & Technol Harbin 150001 Heilongjiang Peoples R China

In order to reflect the internal motion characteristics of entire vector fields, texture visualization methods based on line integral convolution are usually adopted. However, the visualization results obtained in this way have low image quality. To solve this problem, this paper suggests using line integral convolution to optimize two specific aspects - texture enhancement and color enhancement - to provide an enhanced vector field visualization model. Existing texture enhancement algorithms can create texture aliasing. Based on an analysis of the relationship between vector angles, sampling distance and texture aliasing, the paper puts forward a texture enhancement algorithm that uses the vector angle to adjust the sampling distance of a high-pass filter. This greatly reduces the presence of texture aliasing. For color enhancement, a linear algorithm is usually used that adds vector size information to the vector field. However, the resulting image has a problem of color concentration. In view of this, the distribution characteristics of the vector field are analyzed using a histogram and a dynamic nonlinear color enhancement algorithm is proposed. This noticeably improves the color distribution of the resulting image and improves the overall visual quality of the result.

关键词： vector field visualization Line integral convolution Texture enhancement Color enhancement

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From numerics to combinatorics: a survey of topological methods for vector field visualization

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JOURNAL OF visualization 2016年第4期19卷 727-752页

作者： Wang, Wentao Wang, Wenke Li, Sikun Natl Univ Def Technol Coll Comp Changsha 410073 Hunan Peoples R China Natl Univ Def Technol State Key Lab High Performance Comp Changsha 410073 Hunan Peoples R China Natl Univ Def Technol Inst Ocean Sci & Engn Changsha 410073 Hunan Peoples R China

Topological methods are important tools for data analysis, and recently receiving more and more attention in vector field visualization. In this paper, we give an introductory description to some important topological methods in vector field visualization. Besides traditional methods of vector field topology, space-time method and finite-time Lyapunov exponent, we also include in this survey Hodge decomposition, combinatorial vector field topology, Morse decomposition, and robustness, etc. In addition to familiar numerical techniques, more and more combinatorial tools emerge in vector field visualization. The numerical methods often rely on error-prone interpolations and interpolations, while combinatorial techniques produce robust but coarse features. In this survey, we clarify the relevant concepts and hope to guide future topological research in vector field visualization.

关键词： vector field visualization Topology Degree Conley index Morse decomposition Discrete Morse theory Hodge decomposition Robustness

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vector field visualization Review and Prospects

Vector Field Visualization Review and Prospects

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International Conference on Virtual Reality and visualization (ICVRV)

作者： Li Chao Wu Lingda Acad Equipment Beijing 101416 Peoples R China

ISBN: (纸本)9781479968541

vector field visualization is an important aid to help user understand data of complex spatial features in scientific and engineering applications. This paper summarizes relative researches on vector field visualization completely and systematically, gives an induction on major techniques, compares their advantages and shortcomings, and introduces some representative related or cross-over studies. In the end, according to current research progress, this paper looks to the future of improvement and development of vector field visualization.

关键词： vector field visualization Texture-based visualization Geometric visualization Direct visualization Parallel algorithms

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Toward Feature-Preserving vector field Compression

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IEEE TRANSACTIONS ON visualization AND COMPUTER GRAPHICS 2023年第12期29卷 5434-5450页

作者： Liang, Xin Di, Sheng Cappello, Franck Raj, Mukund Liu, Chunhui Ono, Kenji Chen, Zizhong Peterka, Tom Guo, Hanqi Univ Kentucky Dept Comp Sci Lexington KY 40506 USA Argonne Natl Lab Math & Comp Sci Div Lemont IL 60439 USA Broad Inst MIT & Harvard Stanley Ctr Psychiat Res Cambridge MA 02142 USA Kyoto Univ Dept Math Kyoto 6068501 Japan Kyushu Univ Dept Informat 6-10-1 Fukuoka Japan Univ Calif Riverside Dept Comp Sci & Engn Riverside CA 92521 USA Ohio State Univ Dept Comp Sci & Engn Columbus OH 43210 USA

The objective of this work is to develop error-bounded lossy compression methods to preserve topological features in 2D and 3D vector fields. Specifically, we explore the preservation of critical points in piecewise linear and bilinear vector fields. We define the preservation of critical points as, without any false positive, false negative, or false type in the decompressed data, (1) keeping each critical point in its original cell and (2) retaining the type of each critical point (e.g., saddle and attracting node). The key to our method is to adapt a vertex-wise error bound for each grid point and to compress input data together with the error bound field using a modified lossy compressor. Our compression algorithm can be also embarrassingly parallelized for large data handling and in situ processing. We benchmark our method by comparing it with existing lossy compressors in terms of false positive/negative/type rates, compression ratio, and various vector field visualizations with several scientific applications.

关键词： Critical points lossy compression vector field visualization

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A VISUAL-TACTILE COULPING MECHANISM SENSOR FOR REAL-TIME FORCE CALIBRATION 37

A VISUAL-TACTILE COULPING MECHANISM SENSOR FOR REAL-TIME FOR...

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37th IEEE International Conference on Micro Electro Mechanical Systems (MEMS)

作者： Hu, Xiaotong Jiang, Chunpeng Yang, Bin Liu, Jingquan Shanghai Jiao Tong Univ Natl Key Lab Adv Micro & Nano Mfg Technol Shanghai Peoples R China Shanghai Jiao Tong Univ Sch Elect Informat & Elect Engn Dept Micro Nano Elect Shanghai Peoples R China

ISBN: (纸本)9798350357929

This paper reports a visual-tactile coupling mechanism sensor for force calibration in real time through integrating high sensitivity piezoresistive thin film sensor and high resolution visual-tactile sensing. The elastic layer combined with dispensing-printed flexible electrodes forms piezoresistive sensing units. It employs the spatial weighted fusion algorithm to couple displacement of markers as weights with forces measured by the piezoresistive sensing units. High resolution and improved measurement accuracy at small forces are realized, and the coefficient of variation of measured force is reduced, which contributes to enhancing reliability. The sensor will be served as a reliable data source for future human-machine interaction applications.

关键词： Vision-based tactile sensing vector field visualization Force calibration Real-time

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Unsteady Streamline Synthesis 24

Unsteady Streamline Synthesis

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2024 SIGGRAPH Asia Technical Communications

作者： Hsu, Chen-Yuan Wei, Li-Yi Bournemouth Univ Poole Dorset England Adobe Res San Francisco CA USA

ISBN: (纸本)9798400711404

Streamlines tracing out a vector field are important for graphics and visualization, yet the way of controllably arranging the streamlines in unsteady flows, even in 2D, has not been well studied to this day. We thus propose an unsteady streamline synthesis framework that can create a full set of coherent streamlines following certain inputs under 2D and 3D time-varying scenarios while satisfying coverage, continuity, and controllability purposes. Our key concept is to treat the time-varying streamline arrangement like a dynamic packing of anisotropic elements with deformability such that both quality and efficiency can be fulfilled. Specifically, we devise a synthesis process based on inter- and intra-streamline relationships to dynamically synthesize all the coherent streamlines in parallel and incorporate a regulation mechanism with primitive operations to timely adjust each streamline's continuity and the overall streamline coverage. With specification, our framework can further controllably produce desired streamline arrangements for various application demands.

关键词： element synthesis streamline placement vector field visualization

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WYSIWYG Design of Hypnotic Line Art

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IEEE TRANSACTIONS ON visualization AND COMPUTER GRAPHICS 2022年第6期28卷 2517-2529页

作者： Yeh, Chih-Kuo Liu, Zhanping Lin, I-Hsuan Zhang, Eugene Lee, Tong-Yee Zhaoqing Univ Sch Comp Sci & Software Zhaoqing 526061 Peoples R China Old Dominion Univ Dept Modeling Simulat & Visualizat Engn Norfolk VA 23529 USA Natl Cheng Kung Univ Dept Comp Sci & Informat Engn Tainan 701 Taiwan Oregon State Univ Sch Elect Engn & Comp Sci Corvallis OR 97331 USA

Hypnotic line art is a modern form in which white narrow curved ribbons, with the width and direction varying along each path over a black background, provide a keen sense of 3D objects regarding surface shapes and topological contours. However, the procedure of manually creating such line art work can be quite tedious and time-consuming. In this article, we present an interactive system that offers a What-You-See-Is-What-You-Get (WYSIWYG) scheme for producing hypnotic line art images by integrating and placing evenly-spaced streamlines in tensor fields. With an input picture segmented, the user just needs to sketch a few illustrative strokes to guide the construction of a tensor field for each part of the objects therein. Specifically, we propose a new method which controls, with great precision, the aesthetic layout and artistic drawing of an array of streamlines in each tensor field to emulate the style of hypnotic line art. Given several parameters for streamlines such as density, thickness, and sharpness, our system is capable of generating professional-level hypnotic line art work. With great ease of use, it allows art designers to explore a wide variety of possibilities to obtain hypnotic line art results of their own preferences.

关键词： Non-photorealistic rendering (NPR) hypnotic line art tensor field design streamline placement vector field visualization

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Improved algorithm for generating evenly-spaced streamlines from an orientation field on a triangulated surface

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COMPUTER METHODS AND PROGRAMS IN BIOMEDICINE 2024年 251卷 108202-108202页

作者： Jacquemet, Vincent Univ Montreal Inst Biomed Engn Pharmacol & Physiol Dept Montreal PQ H3T 1J4 Canada Hop Sacre Coeur Montreal Res Ctr 5400 boul Gouin Ouest Montreal PQ H4J 1C5 Canada

Background: vector fields such as cardiac fiber orientation can be visualized on a surface using streamlines. The application of evenly-spaced streamline generation to the construction of interconnected cable structure for cardiac propagation models has more stringent requirements imperfectly fulfilled by current algorithms. Method: We developed an open-source C++/python package for the placement of evenly-spaced streamlines on a triangulated surface. The new algorithm improves upon previous works by more accurately handling streamline extremities, U-turns and limit cycles, by providing stronger geometrical guarantees on interstreamline minimal distance, particularly when a high density of streamlines (up to 10 mu m spacing) is desired, and by making a more efficient parallel implementation available. The approach requires finding intersections between geometrical capsules and triangles to update an occupancy mask defined on the triangles. This enables fast streamline integration from thousands of seed points to identify optimal streamline placement. Results: The algorithm was assessed qualitatively on different left atrial models of fiber orientation with varying mesh resolutions (up to 375k triangles) and quantitatively by measuring streamline lengths and distribution of inter-streamline minimal distance. The complexity and the computational performance of the algorithm were studied as a function of streamline spacing in relation to triangular mesh resolution. Conclusion: More accurate geometrical computations, attention to details and fine-tuning led to an algorithm more amenable to applications that require precise positioning of streamlines.

关键词： Streamline integration Triangulated surface vector field visualization Fiber orientation Interconnected cable model

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