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Monotone Piecewise Cubic Interpolation
Abstract
Necessary and sufficient conditions are derived for a cubic to be monotone on an interval. These conditions are used to develop an algorithm which constructs a visually pleasing monotone piecewise cubic interpolant to monotone data. Several examples are given which compare this algorithm with other interpolation methods.
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Cited by
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SciPy 1.0: fundamental algorithms for scientific computing in Python
Virtanen, P., Gommers, R., Oliphant, T. E., Haberland, M., Reddy, T., Cournapeau, D., Burovski, E., Peterson, P., Weckesser, W., Bright, J., et al. (2019) · Apollo - University of Cambridge Repository · doi:10.17863/cam.64134 · Cited by 10,460
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Metadata
- Authors
- Fritsch, F. N., & Carlson, R. E.
- Venue
- SIAM Journal on Numerical Analysis
- Published
- 1980-04
- Volume
- 17
- Issue
- 2
- Pages
- 238-246
- ISSN
- 0036-1429 (ISSN-L)
- 1095-7170
- OpenAlex
- W2096045964
- Cited by
- 2,491
- References
- 0
- FWCI
- 9.56
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Monotone Piecewise Cubic Interpolation. https://app.cochat.ai/papers/10.1137/0717021
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- Fritsch, F. N., & Carlson, R. E. (1980). Monotone Piecewise Cubic Interpolation. SIAM Journal on Numerical Analysis. https://doi.org/10.1137/0717021
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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.
