Fiber Surfaces: Generalizing Isosurfaces to Bivariate Data

Scientific visualization has many effective methods for examining and exploring scalar and vector fields, but rather fewer for bivariate fields. We report the first general purpose approach for the interactive extraction of geometric separating surfaces in bivariate fields. This method is based on f...

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Vydané v:	Computer graphics forum Ročník 34; číslo 3; s. 241 - 250
Hlavní autori:	Carr, Hamish, Geng, Zhao, Tierny, Julien, Chattopadhyay, Amit, Knoll, Aaron
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Oxford Blackwell Publishing Ltd 01.06.2015 Wiley
Predmet:	Categories and Subject Descriptors (according to ACM CCS) Computer graphics Computer Science Construction Extraction Fibers I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Curve I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling—Curve, surface, solid and object representations Interactive Mathematical analysis Multivariate analysis Quantitative analysis Rendering Scalars solid and object representations Studies surface Visualization
ISSN:	0167-7055, 1467-8659
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Abstract	Scientific visualization has many effective methods for examining and exploring scalar and vector fields, but rather fewer for bivariate fields. We report the first general purpose approach for the interactive extraction of geometric separating surfaces in bivariate fields. This method is based on fiber surfaces: surfaces constructed from sets of fibers, the multivariate analogues of isolines. We show simple methods for fiber surface definition and extraction. In particular, we show a simple and efficient fiber surface extraction algorithm based on Marching Cubes. We also show how to construct fiber surfaces interactively with geometric primitives in the range of the function. We then extend this to build user interfaces that generate parameterized families of fiber surfaces with respect to arbitrary polygons. In the special case of isovalue‐gradient plots, fiber surfaces capture features geometrically for quantitative analysis that have previously only been analysed visually and qualitatively using multi‐dimensional transfer functions in volume rendering. We also demonstrate fiber surface extraction on a variety of bivariate data.
AbstractList	Scientific visualization has many effective methods for examining and exploring scalar and vector fields, but rather fewer for bivariate fields. We report the first general purpose approach for the interactive extraction of geometric separating surfaces in bivariate fields. This method is based on fiber surfaces: surfaces constructed from sets of fibers, the multivariate analogues of isolines. We show simple methods for fiber surface definition and extraction. In particular, we show a simple and efficient fiber surface extraction algorithm based on Marching Cubes. We also show how to construct fiber surfaces interactively with geometric primitives in the range of the function. We then extend this to build user interfaces that generate parameterized families of fiber surfaces with respect to arbitrary polygons. In the special case of isovalue-gradient plots, fiber surfaces capture features geometrically for quantitative analysis that have previously only been analysed visually and qualitatively using multi-dimensional transfer functions in volume rendering. We also demonstrate fiber surface extraction on a variety of bivariate data.
Author	Carr, Hamish Geng, Zhao Knoll, Aaron Chattopadhyay, Amit Tierny, Julien
Author_xml	– sequence: 1 givenname: Hamish surname: Carr fullname: Carr, Hamish organization: University of Leeds, UK – sequence: 2 givenname: Zhao surname: Geng fullname: Geng, Zhao organization: University of Leeds, UK – sequence: 3 givenname: Julien surname: Tierny fullname: Tierny, Julien organization: Sorbonne Universités, UPMC Univ Paris 06, UMR 7606, LIP6, F-75005, Paris, France – sequence: 4 givenname: Amit surname: Chattopadhyay fullname: Chattopadhyay, Amit organization: University of Leeds, UK – sequence: 5 givenname: Aaron surname: Knoll fullname: Knoll, Aaron organization: University of Utah, USA
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Copyright	2015 The Author(s) Computer Graphics Forum © 2015 The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd. 2015 The Eurographics Association and John Wiley & Sons Ltd. Distributed under a Creative Commons Attribution 4.0 International License
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Snippet	Scientific visualization has many effective methods for examining and exploring scalar and vector fields, but rather fewer for bivariate fields. We report the...
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SubjectTerms	Categories and Subject Descriptors (according to ACM CCS) Computer graphics Computer Science Construction Extraction Fibers I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Curve I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling—Curve, surface, solid and object representations Interactive Mathematical analysis Multivariate analysis Quantitative analysis Rendering Scalars solid and object representations Studies surface Visualization
Title	Fiber Surfaces: Generalizing Isosurfaces to Bivariate Data
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