Regarding the math for real and differential calculus, it is recommended to refer to the following supplementary material: Online supplementary material: Isosurface analysis
- Marc Khoury,
Rephael Wenger:
On the Fractal Dimension of Isosurfaces.
IEEE Trans. Vis. Comput. Graph. 16(6): 1198-1205 (2010).
- Carlos Eduardo Scheidegger,
John M. Schreiner,
Brian Duffy,
Hamish Carr,
Cláudio T. Silva:
Revisiting Histograms and Isosurface Statistics.
IEEE Trans. Vis. Comput. Graph. 14(6): 1659-1666 (2008).
- Hamish Carr,
Brian Duffy,
Brian Denby:
On Histograms and Isosurface Statistics.
IEEE Trans. Vis. Comput. Graph. 12(5): 1259-1266 (2006).
- Hamish Carr,
Jack Snoeyink,
Michiel van de Panne:
Simplifying Flexible Isosurfaces Using Local Geometric Measures.
IEEE Visualization 2004: 497-504.
- Chandrajit L. Bajaj,
Valerio Pascucci,
Daniel Schikore:
The contour spectrum.
IEEE Visualization 1997: 167-174.
Differential geometry- Tino Weinkauf,
Holger Theisel:
Streak Lines as Tangent Curves of a Derived Vector Field.
IEEE Trans. Vis. Comput. Graph. 16(6): 1225-1234 (2010).
- Ovidio Mallo,
Ronald Peikert,
Christian Sigg,
Filip Sadlo:
Illuminated Lines Revisited.
IEEE Visualization 2005: 3
- Vivek Verma,
David T. Kao,
Alex Pang:
A flow-guided streamline seeding strategy.
IEEE Visualization 2000: 163-170.
- Detlev Stalling,
Malte Zöckler,
Hans-Christian Hege:
Fast Display of Illuminated Field Lines.
IEEE Trans. Vis. Comput. Graph. 3(2): 118-128 (1997).
Statistics- Statistics for scientific data analysis: generate statistics (mean, variance, correlation, or higher order statistics) to augment data analysis.
- Chaoli Wang,
Kwan-Liu Ma:
A Statistical Approach to Volume Data Quality Assessment.
IEEE Trans. Vis. Comput. Graph. 14(3): 590-602 (2008).
- Luke J. Gosink,
John C. Anderson,
Wes Bethel,
Kenneth I. Joy:
Variable Interactions in Query-Driven Visualization.
IEEE Trans. Vis. Comput. Graph. 13(6): 1400-1407 (2007).
- Hiroshi Akiba,
Nathaniel Fout,
Kwan-Liu Ma:
Simultaneous Classification of Time-Varying Volume Data Based on the Time Histogram.
EuroVis 2006: 171-178.
- Shivaraj Tenginakai,
Jinho Lee,
Raghu Machiraju:
Salient Iso-Surface Detection with Model-Independent Statistical Signatures.
IEEE Visualization 2001.
- Classification/feature tracking: utilize statistics for material classification (transfer function design) and tracking (feature tracking).
- Yunhai Wang, Wei Chen, Guihua Shan, Tingxin Dong, Xuebin Chi: Volume exploration using ellipsoidal Gaussian transfer functions. PacificVis 2010: 25-32.
- Jesus Caban, Penny Rheingans: Texture-based Transfer Functions for Direct Volume Rendering. IEEE Trans. Vis. Comput. Graph. 14(6): 1364-1371 (2008).
- Jesus Caban, Alark Joshi, Penny Rheingans: Texture-based feature tracking for effective time-varying data visualization. IEEE Trans. Vis. Comput. Graph. 13(6): 1472-1479 (2007).
- Heike Jänicke, Alexander Wiebel, Gerik Scheuermann, Wolfgang Kollmann: Multifield Visualization Using Local Statistical Complexity. IEEE Trans. Vis. Comput. Graph. 13(6): 1384-1391 (2007).
- Joe Michael Kniss, Robert L. Van Uitert Jr., Abraham Stephens, Guo-Shi Li, Tolga Tasdizen, Charles D. Hansen: Statistically Quantitative Volume Visualization. IEEE Visualization 2005: 37.
- Joe Kniss,
Gordon L. Kindlmann,
Charles D. Hansen:
Multidimensional Transfer Functions for Interactive Volume Rendering.
IEEE Trans. Vis. Comput. Graph. 8(3): 270-285 (2002).
- Information theory: apply entropy or other information-theoretic measurement for data analysis and visualization.
- Lijie Xu,
Teng-Yok Lee,
Han-Wei Shen:
An Information-Theoretic Framework for Flow Visualization.
IEEE Trans. Vis. Comput. Graph. 16(6): 1216-1224 (2010).
- Chaoli Wang,
Hongfeng Yu,
Kwan-Liu Ma:
Importance-Driven Time-Varying Data Visualization.
IEEE Trans. Vis. Comput. Graph. 14(6): 1547-1554 (2008).
- Chaoli Wang,
Han-Wei Shen:
LOD Map - A Visual Interface for Navigating Multiresolution Volume Visualization.
IEEE Trans. Vis. Comput. Graph. 12(5): 1029-1036 (2006).
- Udeepta Bordoloi,
Han-Wei Shen:
View Selection for Volume Rendering.
IEEE Visualization 2005: 62.
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