The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Shape-based interpolation of multidimensional objects
Abstract
A shape-based interpolation scheme for multidimensional images is presented. This scheme consists of first segmenting the given image data into a binary image, converting the binary image back into a gray image wherein the gray value of a point represents its shortest distance (positive value for points of the object and negative for those outside) from the cross-sectional boundary, and then interpolating the gray image. The set of all points with nonnegative values associated with them in the interpolated image constitutes the interpolated object. The method not only minimizes user involvement in interactive segmentation, but also leads to more accurate representation and depiction of dynamic as well as static objects. The general methodology and the implementation details of the method are presented and compared on a qualitative and quantitative basis to the existing methods. The generality of the proposed scheme is illustrated with a number of medical imaging examples.
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Cites
Marching cubes: A high resolution 3D surface construction algorithm
Lorensen, W. E., & Cline, H. E. (1987) · Proceedings of the 14th annual conference on Computer graphics and interactive techniques · doi:10.1145/37401.37422 · Cited by 10,104
Marching cubes: A high resolution 3D surface construction algorithm
Lorensen, W. E., & Cline, H. E. (1987) · ACM SIGGRAPH Computer Graphics · doi:10.1145/37402.37422 · Cited by 8,647
Faires, J. D. (1978) · Cited by 6,711
Display of surfaces from volume data
Levoy, M. (1988) · IEEE Computer Graphics and Applications · doi:10.1109/38.511 · Cited by 2,446
Drebin, R. A., Carpenter, L., & Hanrahan, P. (1988) · ACM SIGGRAPH Computer Graphics · doi:10.1145/378456.378484 · Cited by 1,612
Geometric modeling using octree encoding
Meagher, D. (1982) · Computer Graphics and Image Processing · doi:10.1016/0146-664x(82)90104-6 · Cited by 1,266
Optimal surface reconstruction from planar contours
Fuchs, H., Kedem, Z. M., & Uselton, S. P. (1977) · Communications of the ACM · doi:10.1145/359842.359846 · Cited by 798
Three-dimensional display of human organs from computed tomograms
Herman, G. T., & Liu, H. K. (1979) · Computer Graphics and Image Processing · doi:10.1016/0146-664x(79)90079-0 · Cited by 430
Shading 3D-Images from CT Using Gray-Level Gradients
Hohne, K. H., & Bernstein, R. (1986) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.1986.4307738 · Cited by 252
Udupa, J. K., & Herman, G. T. (1991) · Cited by 245
Self-citation
Cited by
Gosselin, M.-C., Neufeld, E., Moser, H., Huber, E., Farcito, S., Gerber, L., Jedensjö, M., Hilber, I., Gennaro, F. D., Lloyd, B., et al. (2014) · Physics in Medicine and Biology · doi:10.1088/0031-9155/59/18/5287 · Cited by 520
Analysis of vasculature for liver surgical planning
Selle, D., Preim, B., Schenk, A., & Peitgen, H.-O. (2002) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2002.801166 · Cited by 448
Achenbach, S., Ropers, D., Pohle, K., Leber, A., Thilo, C., Knez, A., Menendez, T., Maeffert, R., Kusus, M., Regenfus, M., et al. (2002) · Circulation · doi:10.1161/01.cir.0000027567.49283.ff · Cited by 339
Duan, J., Bello, G., Schlemper, J., Bai, W., Dawes, T. J. W., Biffi, C., de Marvao, A., Doumoud, G., O'Regan, D. P., & Rueckert, D. (2019) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2019.2894322 · Cited by 227
Metadata
- Authors
- Raya, S. P., & Udupa, J. K.
- Venue
- IEEE Transactions on Medical Imaging
- Published
- 1990-03
- Volume
- 9
- Issue
- 1
- Pages
- 32-42
- ISSN
- 0278-0062 (ISSN-L)
- OpenAlex
- W2130538955
- Cited by
- 435
- References
- 11
- FWCI
- 16.17
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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