An introduction to splines for use in computer graphics & geometric modeling
An introduction to splines for use in computer graphics & geometric modeling
Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Discrete-time signal processing
Discrete-time signal processing
Volume rendering using the Fourier projection-slice theorem
Proceedings of the conference on Graphics interface '92
Frequency domain volume rendering
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
Fast volume rendering using a shear-warp factorization of the viewing transformation
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Fast volume rendering using a shear-warp factorization of the viewing transformation
Fast volume rendering using a shear-warp factorization of the viewing transformation
Design of accurate and smooth filters for function and derivative reconstruction
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Shear-Warp deluxe: the Shear-Warp algorithm revisited
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Shading for Fourier Volume Rendering
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Frequency Analysis of Gradient Estimators in Volume Rendering
IEEE Transactions on Visualization and Computer Graphics
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
An evaluation of reconstruction filters for volume rendering
VIS '94 Proceedings of the conference on Visualization '94
Methods for Efficient, High Quality Volume Resampling in the Frequency Domain
VIS '04 Proceedings of the conference on Visualization '04
Frequency domain volume rendering by the wavelet X-ray transform
IEEE Transactions on Image Processing
Interactively controlling the smoothing and postaliasing effects in volume visualization
Proceedings of the 25th Spring Conference on Computer Graphics
D2VR: high-quality volume rendering of projection-based volumetric data
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
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This work introduces a volume rendering technique that is conceptually based on the shear-warp factorization. We propose to perform the shear transformation in the frequency domain. Unlike the standard shear-warp algorithm, we allow for arbitrary sampling distances along the viewing rays, independent from the view direction. The accurate scaling of the volume slices is achieved by using the zero padding interpolation property. Finally, a high quality gradient estimation scheme is presented which uses the derivative theorem of the Fourier transform. Experimental results show that the presented method outperforms established algorithms in the quality of the produced images. If the data is sampled above the Nyquist rate the presented method is capable of a perfect reconstruction of the original function.