Bivariate transfer functions on unstructured grids

Authors:
Yuyan Song;Wei Chen;Ross Maciejewski;Kelly P. Gaither;David S. Ebert
Affiliations:
Purdue University Rendering & Perceptualization Lab, Purdue University;State Key Lab of CAD&CG, Zhejiang University, China;Purdue University Rendering & Perceptualization Lab, Purdue University;Texas Advanced Computing Center;Purdue University Rendering & Perceptualization Lab, Purdue University
Venue:
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
Year:
2009

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Abstract

Multi-dimensional transfer functions are commonly used in rectilinear volume renderings to effectively portray materials, material boundaries and even subtle variations along boundaries. However, most unstructured grid rendering algorithms only employ one-dimensional transfer functions. This paper proposes a novel preintegrated Projected Tetrahedra (PT) rendering technique that applies bivariate transfer functions on unstructured grids. For each type of bivariate transfer function, an analytical form that pre-integrates the contribution of a ray segment in one tetrahedron is derived, and can be precomputed as a lookup table to compute the color and opacity in a projected tetrahedron on-the-fly. Further, we show how to approximate the integral using the preintegration method for faster unstructured grid rendering. We demonstrate the advantages of our approach with a variety of examples and comparisons with one-dimensional transfer functions.