Classification and local error estimation of interpolation and derivative filters for volume rendering
- 1 January 1996
- proceedings article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
Abstract
We describe a new method for analyzing, classifying, and evaluating filters, which can be applied to interpolation filters, and derivative filters. Our analysis is based on the Taylor series expan- sion of a convolution sum and some assumptions on the behavior of the data function. As a result of our analysis, we derive the need and the method for normalization of derivative filter coefficients. As an example, we demonstrate the utilization of our methods to the analysis of the class of cardinal cubic filters. Since our tech- nique is not restricted to interpolation filters, we can show that the Catmull-Rom spline filter and its derivative are the most accurate reconstruction and derivative filter among this class of filters. We show that the derivative filter has a much higher impact on the ren- dered volume than the interpolation filter. We demonstrate the use of these optimal filters for accurate interpolation and gradient esti- mation in volume rendering.Keywords
This publication has 13 references indexed in Scilit:
- An evaluation of reconstruction filters for volume renderingPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Reconstruction error characterization and control: a sampling theory approachIEEE Transactions on Visualization and Computer Graphics, 1996
- Fourier volume renderingACM Transactions on Graphics, 1993
- Symmetric iterative interpolation processesConstructive Approximation, 1989
- Volume renderingACM SIGGRAPH Computer Graphics, 1988
- Reconstruction filters in computer-graphicsACM SIGGRAPH Computer Graphics, 1988
- Display of surfaces from volume dataIEEE Computer Graphics and Applications, 1988
- Image reconstruction by parametric cubic convolutionComputer Vision, Graphics, and Image Processing, 1983
- Comparison of Interpolating Methods for Image ResamplingIEEE Transactions on Medical Imaging, 1983
- Cubic convolution interpolation for digital image processingIEEE Transactions on Acoustics, Speech, and Signal Processing, 1981