Uncertainty visualization using HDR volume rendering

In this paper, we explore a novel idea of using high dynamic range (HDR) technology for uncertainty visualization. We focus on scalar volumetric data sets where every data point is associated with scalar uncertainty. We design a transfer function that maps each data point to a color in HDR space. The luminance component of the color is exploited to capture uncertainty. We modify existing tone mapping techniques and suitably integrate them with volume ray casting to obtain a low dynamic range (LDR) image. The resulting image is displayed on a conventional 8-bits-per-channel display device. The usage of HDR mapping reveals fine details in uncertainty distribution and enables the users to interactively study the data in the context of corresponding uncertainty information. We demonstrate the utility of our method and evaluate the results using data sets from ocean modeling.

[1]  Erik Reinhard,et al.  Ieee Transactions on Visualization and Computer Graphics 1 Dynamic Range Reduction Inspired by Photoreceptor Physiology , 2022 .

[2]  Dani Lischinski,et al.  Gradient Domain High Dynamic Range Compression , 2023 .

[3]  Neeharika Adabala,et al.  Uncertainty Visualization using HDR Image Maps , 2010 .

[4]  Jitendra Malik,et al.  Recovering high dynamic range radiance maps from photographs , 1997, SIGGRAPH '08.

[5]  Alex T. Pang,et al.  Approaches to uncertainty visualization , 1996, The Visual Computer.

[6]  Chris R. Johnson,et al.  A Next Step: Visualizing Errors and Uncertainty , 2003, IEEE Computer Graphics and Applications.

[7]  Alex T. Pang,et al.  Visualizing Geometric Uncertainty of Surface Interpolants , 1996, Graphics Interface.

[8]  Penny Rheingans,et al.  Point-based probabilistic surfaces to show surface uncertainty , 2004, IEEE Transactions on Visualization and Computer Graphics.

[9]  Wolfgang Heidrich,et al.  Volume rendering for high dynamic range displays , 2005, Fourth International Workshop on Volume Graphics, 2005..

[10]  T. Hengl,et al.  Visualisation of uncertainty using the HSI colour model : computations with colours , 2003 .

[11]  Kwan-Liu Ma,et al.  Multiple Uncertainties in Time-Variant Cosmological Particle Data , 2008, 2008 IEEE Pacific Visualization Symposium.

[12]  Klaus Mueller,et al.  Harmonic Colormaps for Volume Visualization , 2008, VG/PBG@SIGGRAPH.

[13]  Matthias Zwicker,et al.  Ieee Transactions on Visualization and Computer Graphics Ewa Splatting , 2002 .

[14]  Joe Michael Kniss,et al.  Interactive volume rendering using multi-dimensional transfer functions and direct manipulation widgets , 2001, Proceedings Visualization, 2001. VIS '01..

[15]  Alexei A. Efros,et al.  Fast bilateral filtering for the display of high-dynamic-range images , 2002 .

[16]  Paolo Sabella,et al.  A rendering algorithm for visualizing 3D scalar fields , 1988, SIGGRAPH.

[17]  Robert J. Moorhead,et al.  A User Study to Compare Four Uncertainty Visualization Methods for 1D and 2D Datasets , 2009, IEEE Transactions on Visualization and Computer Graphics.

[18]  Jack Tumblin,et al.  The Trilateral Filter for High Contrast Images and Meshes , 2003, Rendering Techniques.

[19]  E. Reinhard Photographic Tone Reproduction for Digital Images , 2002 .

[20]  Daniel Cohen-Or,et al.  Volume graphics , 1993, Computer.

[21]  Jack Tumblin,et al.  The trilateral filter for high contrast images and meshes , 2003, Rendering Techniques.

[22]  Alex T. Pang,et al.  Glyphs for Visualizing Uncertainty in Vector Fields , 1996, IEEE Trans. Vis. Comput. Graph..

[23]  Penny Rheingans,et al.  Procedural annotation of uncertain information , 2000, Proceedings Visualization 2000. VIS 2000 (Cat. No.00CH37145).

[24]  Karol Myszkowski,et al.  Adaptive Logarithmic Mapping For Displaying High Contrast Scenes , 2003, Comput. Graph. Forum.

[25]  Xiaoru Yuan,et al.  High dynamic range volume visualization , 2005, VIS 05. IEEE Visualization, 2005..

[26]  Barry N. Taylor,et al.  Guidelines for Evaluating and Expressing the Uncertainty of Nist Measurement Results , 2017 .

[27]  Xiaoru Yuan,et al.  HDR VolVis: high dynamic range volume visualization , 2006, IEEE Transactions on Visualization and Computer Graphics.

[28]  Alex T. Pang,et al.  Visualizing scalar volumetric data with uncertainty , 2002, Comput. Graph..

[29]  Taku Komura,et al.  Topology matching for fully automatic similarity estimation of 3D shapes , 2001, SIGGRAPH.

[30]  Michael H. Brill,et al.  Color appearance models , 1998 .

[31]  John D. Austin,et al.  Adaptive histogram equalization and its variations , 1987 .

[32]  Amitabh Varshney,et al.  Representing thermal vibrations and uncertainty in molecular surfaces , 2002, IS&T/SPIE Electronic Imaging.

[33]  Anders Ynnerman,et al.  Uncertainty Visualization in Medical Volume Rendering Using Probabilistic Animation , 2007, IEEE Transactions on Visualization and Computer Graphics.

[34]  Frédo Durand,et al.  Interactive Tone Mapping , 2000, Rendering Techniques.