| Rhodes M., Glenn W., Azzawi Y., "Extracting Oblique Planes from Serial CT Sections", Journal of Computer Assisted Tomography, 4(5): 649-657, October 1980. |
....The transformed points must be clipped if needed before reconstruction. The result is an interpolated voxel value for each resampling point. The advantage of this slicing implementation is its ability to control the resampling scheme. Another reported work on volumetric slicing is found in [29]. The accuracy of the method reported is limited because trilinear interpolation is used to determine function values at intermediate locations. To use the adaptive schemes of Section 4, we use a derivative of Equation 32 to determine the filter size (Equation 40) 40) Figure 15 shows slices of ....
Rhodes M., Glenn W., and Azzawi Y., "Extracting Oblique Planes from Serial CT Sections", Journal of Computer Assisted Tomography, 4(5):649-657, October 1980.
....(described by a direction vector for the normal and an offset from the origin) onto the XY plane thus defining an implicit affine transformation T. The advantage of this slicing implementation is its ability to control the resampling scheme. Another reported work on volumetric slicing is found in [30]. The accuracy of the method reported is limited because trilinear interpolation is used to determine function values at intermediate locations. To use the adaptive schemes of Section 4, we use a derivative of (20) to determine the filter size (28) M Max x h y h z h r r r f x y z 3 ....
M. Rhodes, W. Glenn, and Y. Azzawi, "Extracting Oblique Planes from Serial CT Sections," J. Computer Assisted Tomography, vol. 4, no. 5, pp. 649-657, Oct. 1980.
....[14] We do not even attempt to address these very complex questions here. Our exercise in this work is merely devoted to identify the sources of error and quantify them. The study of reconstruction errors has received only modest attention in the graphics and image processing literature. In [13] Parker et al. compare the effectiveness of some resampling filters. However, they propose no metrics which can be used to judge the goodness of a resampling filter. Mitchell and Netravalli [10] first introduced the reconstruction metrics pre aliasing and post aliasing. Marschner and Lobb [9] ....
Rhodes M., Glenn W., Azzawi Y., "Extracting Oblique Planes from Serial CT Sections", Journal of Computer Assisted Tomography, 4(5): 649-657, October 1980.
....are subjected to non affine grid deformation (texture mapping, warping, registration) the function value in the form of pixel or voxel intensity has to be computed on the target grid, commonly referred to as the resampling grid. Similarly, reconstruction is needed when a 3D volume is sliced [2] 4][17] or rendered [8] 9] 22] 24] Either the voxel intensity, or the opacity, or color needs to be determined at intermediate points inside the volume. Interpolation is the reconstruction method of choice in all the afore mentioned algorithms [2] 4] 8] 9] 24] Reconstruction in the target space is much ....
....sources of error and quantify them. The study of reconstruction errors has received only modest attention in the graphics and image processing literature and has not been applied at all to the common process of volume slicing. Most commonly reconstruction in slicing is achieved by nearest neighbor [17] or trilinear interpolation [2] 4] However, these methods, as well as the cubic interpolating approach may introduce various types of artifacts (blurring, aliasing) into the reconstructed signal. When slices are composited as part of a volume rendering algorithm [2] 4] such artifacts can ....
[Article contains additional citation context not shown here]
Rhodes M., Glenn W., Azzawi Y., "Extracting Oblique Planes from Serial CT Sections", Journal of Computer Assisted Tomography, 4(5): 649-657, October 1980.
....are subjected to non affine grid deformation (texture mapping, warping, registration) the function value in the form of pixel or voxel intensity has to be computed on the target grid, commonly referred to as the resampling grid. Similarly, reconstruction is needed when a 3D volume is sliced [2] 4][17] or rendered [8] 9] 22] 24] Either the voxel intensity, or the opacity, or color needs to be determined at intermediate points inside the volume. Interpolation is the reconstruction method of choice in all the afore mentioned algorithms [2] 4] 8] 9] 24] Reconstruction in the target space is much ....
....sources of error and quantify them. The study of reconstruction errors has received only modest attention in the graphics and image processing literature and has not been applied at all to the common process of volume slicing. Most commonly reconstruction in slicing is achieved by nearest neighbor [17] or trilinear interpolation [2] 4] However, these methods, as well as the cubic interpolating approach may introduce various types of artifacts (blurring, aliasing) into the reconstructed signal. When slices are composited as part of a volume rendering algorithm [2] 4] such artifacts can ....
[Article contains additional citation context not shown here]
Rhodes M., Glenn W., Azzawi Y., "Extracting Oblique Planes from Serial CT Sections", Journal of Computer Assisted Tomography, 4(5): 649-657, October 1980.
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Rhodes M., Glenn W., Azzawi Y., "Extracting Oblique Planes from Serial CT Sections", Journal of Computer Assisted Tomography, 4(5): 649-657, October 1980.
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