Boundary Aware Reconstruction of Scalar Fields

In visualization, the combined role of data reconstruction and its classification plays a crucial role. In this paper we propose a novel approach that improves classification of different materials and their boundaries by combining information from the classifiers at the reconstruction stage. Our approach estimates the targeted materials' local support before performing multiple material-specific reconstructions that prevent much of the misclassification traditionally associated with transitional regions and transfer function (TF) design. With respect to previously published methods our approach offers a number of improvements and advantages. For one, it does not rely on TFs acting on derivative expressions, therefore it is less sensitive to noisy data and the classification of a single material does not depend on specialized TF widgets or specifying regions in a multidimensional TF. Additionally, improved classification is attained without increasing TF dimensionality, which promotes scalability to multivariate data. These aspects are also key in maintaining low interaction complexity. The results are simple-to-achieve visualizations that better comply with the user's understanding of discrete features within the studied object.

[1]  Georgios Sakas,et al.  Data Intermixing and Multi‐volume Rendering , 1999, Comput. Graph. Forum.

[2]  Klaus Mueller,et al.  Overview of Volume Rendering , 2005, The Visualization Handbook.

[3]  Gordon L. Kindlmann,et al.  Semi-Automatic Generation of Transfer Functions for Direct Volume Rendering , 1998, VVS.

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

[5]  Christopher M. Bishop,et al.  Pattern Recognition and Machine Learning (Information Science and Statistics) , 2006 .

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

[7]  Hans-Christian Hege,et al.  Interactive Segmentation of 3D Medical Images with Subvoxel Accuracy , 1998 .

[8]  Hanspeter Pfister,et al.  Volume MLS Ray Casting , 2008, IEEE Transactions on Visualization and Computer Graphics.

[9]  Kenneth I. Joy,et al.  Cubic Gradient-Based Material Interfaces , 2013, IEEE Transactions on Visualization and Computer Graphics.

[10]  Karl Heinz Höhne,et al.  High quality rendering of attributed volume data , 1998, Proceedings Visualization '98 (Cat. No.98CB36276).

[11]  Nirmal K. Bose,et al.  Superresolution and noise filtering using moving least squares , 2006, IEEE Transactions on Image Processing.

[12]  Joe Michael Kniss,et al.  Multidimensional Transfer Functions for Interactive Volume Rendering , 2002, IEEE Trans. Vis. Comput. Graph..

[13]  Roberto Manduchi,et al.  Bilateral filtering for gray and color images , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[14]  Karl Heinz Höhne,et al.  High quality rendering of attributed volume data , 1998 .

[15]  David H. Laidlaw,et al.  The Visualization Handbook. Painting and Visualization , 2005 .

[16]  Thomas R. Overton,et al.  Image restoration in computed tomography: estimation of the spatially variant point spread function , 1992, IEEE Trans. Medical Imaging.

[17]  Marc Levoy,et al.  Display of surfaces from volume data , 1988, IEEE Computer Graphics and Applications.

[18]  Ghassan Hamarneh,et al.  ProbExplorer: Uncertainty‐guided Exploration and Editing of Probabilistic Medical Image Segmentation , 2010, Comput. Graph. Forum.

[19]  Masaki Ohkubo,et al.  Accurate determination of CT point‐spread‐function with high precision , 2013, Journal of applied clinical medical physics.

[20]  Carl-Fredrik Westin,et al.  Tissue Classification Based on 3D Local Intensity Structures for Volume Rendering , 2000, IEEE Trans. Vis. Comput. Graph..

[21]  Pat Hanrahan,et al.  Volume Rendering , 2020, Definitions.

[22]  Peyman Milanfar,et al.  Kernel Regression for Image Processing and Reconstruction , 2007, IEEE Transactions on Image Processing.

[23]  David H. Laidlaw,et al.  Geometric model extraction from magnetic resonance volume data , 1996 .

[24]  Markus Hadwiger,et al.  High-quality two-level volume rendering of segmented data sets on consumer graphics hardware , 2003, IEEE Visualization, 2003. VIS 2003..

[25]  Ivan Viola,et al.  Hardware-based nonlinear filtering and segmentation using high-level shading languages , 2003, IEEE Visualization, 2003. VIS 2003..

[26]  Eduard Gröller,et al.  Statistical analysis of Multi-Material Components using Dual Energy CT , 2008, VMV.

[27]  David H. Laidlaw,et al.  Partial-volume Bayesian classification of material mixtures in MR volume data using voxel histograms , 1997, IEEE Transactions on Medical Imaging.

[28]  Rafael C. González,et al.  Local Determination of a Moving Contrast Edge , 1985, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[29]  Joe Michael Kniss,et al.  Statistically quantitative volume visualization , 2005, VIS 05. IEEE Visualization, 2005..