Frequency Analysis of Gradient Estimators in Volume Rendering

Marinus Jan Bentum, Barthold B.A. Lichtenbelt, Tom Malzbender

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    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
    Original languageUndefined
    Pages (from-to)242-254
    Number of pages13
    JournalIEEE transactions on visualization and computer graphics
    Issue number3
    Publication statusPublished - 1996


    • METIS-112345
    • Data visualisation
    • IR-15466
    • splines (mathematics)
    • rendering (computer graphics)

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