Efficient two-dimensional filters using B-spline functions
Computer Vision, Graphics, and Image Processing
Planar 2-pass texture mapping and warping
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Display of Surfaces from Volume Data
IEEE Computer Graphics and Applications
Digital filters (3rd ed.)
Discrete-time signal processing
Discrete-time signal processing
Footprint evaluation for volume rendering
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Two-dimensional signal and image processing
Two-dimensional signal and image processing
ACM SIGGRAPH Computer Graphics
VVS '89 Proceedings of the 1989 Chapel Hill workshop on Volume visualization
Reconstruction filters in computer-graphics
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
Digital Image Warping
Programs for Digital Signal Processing
Programs for Digital Signal Processing
Digital Image Processing
Multidimensional Digital Signal Processing
Multidimensional Digital Signal Processing
Fundamentals of Texture Mapping and Image Warping
Fundamentals of Texture Mapping and Image Warping
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Design of accurate and smooth filters for function and derivative reconstruction
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
A practical evaluation of popular volume rendering algorithms
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Controlled Topology Simplification
IEEE Transactions on Visualization and Computer Graphics
Reconstruction Error Characterization and Control: A Sampling Theory Approach
IEEE Transactions on Visualization and Computer Graphics
Fast Ray-Tracing of Rectilinear Volume Data Using Distance Transforms
IEEE Transactions on Visualization and Computer Graphics
An evaluation of reconstruction filters for volume rendering
VIS '94 Proceedings of the conference on Visualization '94
Linear and Cubic Box Splines for the Body Centered Cubic Lattice
VIS '04 Proceedings of the conference on Visualization '04
Rotation of 3D volumes by Fourier-interpolated shears
Graphical Models - Special issue on PG2004
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part II
Quasi-interpolation on the body centered cubic lattice
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
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Digital filtering is a crucial operation in volume reconstruction and visualization. Lowpass filters are needed for subsampling and minification. Interpolation filters are needed for registration and magnification, and to compensate for geometric distortions introduced by scanners. Interpolation filters are also needed in volume rendering for ray-casting and slicing. In this paper, we describe a method for digital filter design of interpolation filters based on weighted Chebyshev minimization. The accuracy of the resulting filters are compared with some commonly used filters defined by piecewise cubic polynomials.A significant finding of this paper is that although piecewise cubic interpolation have some computational advantages and may yield visually satisfactory results for some data, other data results in artifacts such as blurring. Furthermore, piecewise cubic filters are inferior for operations such as registration. Better results are obtained by the filters derived in this papers at only small increases in computation.