Frequency analysis of gradient estimators in volume rendering

Author

Bentum, Mark J. ; Lichtenbelt, Barthold B A ; Malzbender, Tom

Author_Institution

Dept. of Electr. Eng., Twente Univ., Enschede, Netherlands

Volume

2

Issue

3

fYear

1996

fDate

9/1/1996 12:00:00 AM

Firstpage

242

Lastpage

254

Abstract

Gradient information is used in volume rendering to classify and color samples along a ray. In this paper, we present an analysis of the theoretically ideal gradient estimator and compare it to some commonly used gradient estimators. A new method is presented to calculate the gradient at arbitrary sample positions, using the derivative of the interpolation filter as the basis for the new gradient filter. As an example, we will discuss the use of the derivative of the cubic spline. Comparisons with several other methods are demonstrated. Computational efficiency can be realized since parts of the interpolation computation can be leveraged in the gradient estimation

Keywords

data visualisation; rendering (computer graphics); splines (mathematics); cubic spline; gradient estimators; gradient filters; interpolation filter; volume rendering; volume visualization; Computational efficiency; Estimation theory; Frequency estimation; Helium; Interpolation; Optical filters; Rendering (computer graphics); Shearing; Spline; Visualization;

fLanguage

English

Journal_Title

Visualization and Computer Graphics, IEEE Transactions on

Publisher

ieee

ISSN

1077-2626

Type

jour

DOI

10.1109/2945.537307

Filename

537307