The DOI matches its Crossref record.
Scattered data interpolation with multilevel B-splines
Abstract
The paper describes a fast algorithm for scattered data interpolation and approximation. Multilevel B-splines are introduced to compute a C/sup 2/ continuous surface through a set of irregularly spaced points. The algorithm makes use of a coarse to fine hierarchy of control lattices to generate a sequence of bicubic B-spline functions whose sum approaches the desired interpolation function. Large performance gains are realized by using B-spline refinement to reduce the sum of these functions into one equivalent B-spline function. Experimental results demonstrate that high fidelity reconstruction is possible from a selected set of sparse and irregular samples.
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Cited by
Nonrigid registration using free-form deformations: application to breast mr images
Rueckert, D., Sonoda, L. I., Hayes, C., Hill, D. L. G., Leach, M. O., & Hawkes, D. J. (1999) · IEEE Transactions on Medical Imaging · doi:10.1109/42.796284 · Cited by 5,265
Training cnns for image registration from few samples with model-based data augmentation
Uzunova, H., Wilms, M., Handels, H., & Ehrhardt, J. (2017) · Lecture Notes in Computer Science · doi:10.1007/978-3-319-66182-7_26 · Cited by 110
Metadata
- Authors
- Lee, S., Wolberg, G., & Shin, S. Y.
- Venue
- IEEE Transactions on Visualization and Computer Graphics
- Published
- 1997
- Volume
- 3
- Issue
- 3
- Pages
- 228-244
- ISSN
- 1077-2626 (ISSN-L)
- OpenAlex
- W2123090765
- Cited by
- 1,046
- References
- 0
- FWCI
- 5.83
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
