Fast and accurate Gaussian derivatives based on B-splines

H. Bouma; A. Vilanova; J. Olivan Bescos; B.M. Haar Romenij, ter; F.A. Gerritsen

doi:10.1007/978-3-540-72823-8_35

Fast and accurate Gaussian derivatives based on B-splines

H. Bouma, A. Vilanova, J. Olivan Bescos, B.M. Haar Romenij, ter, F.A. Gerritsen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

10 Citations (Scopus)

Abstract

Gaussian derivatives are often used as differential operators to analyze the structure in images. In this paper, we will analyze the accuracy and computational cost of the most common implementations for differentiation and interpolation of Gaussian-blurred multi-dimensional data. We show that – for the computation of multiple Gaussian derivatives– the method based on B-splines obtains a higher accuracy than the truncated Gaussian at equal computational cost.

Original language	English
Title of host publication	Proceedings of the 1st International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007), 30 May - 2 June 2007, Ischia, Italy
Editors	F. Sgallari, A. Murli, N. Paragios
Place of Publication	Berlin / Heidelberg
Publisher	Springer
Pages	406-417
ISBN (Print)	978-3-540-72822-1
DOIs	https://doi.org/10.1007/978-3-540-72823-8_35
Publication status	Published - 2007
Event	First International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007) - Ischia, Italy Duration: 30 May 2007 → 2 Jun 2007

Publication series

Name	Lecture Notes in Computer Science
Volume	4485
ISSN (Print)	0302-9743

Conference

Conference	First International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007)
Country/Territory	Italy
City	Ischia
Period	30/05/07 → 2/06/07

Access to Document

10.1007/978-3-540-72823-8_35

Cite this

Bouma, H., Vilanova, A., Olivan Bescos, J., Haar Romenij, ter, B. M., & Gerritsen, F. A. (2007). Fast and accurate Gaussian derivatives based on B-splines. In F. Sgallari, A. Murli, & N. Paragios (Eds.), Proceedings of the 1st International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007), 30 May - 2 June 2007, Ischia, Italy (pp. 406-417). (Lecture Notes in Computer Science; Vol. 4485). Springer. https://doi.org/10.1007/978-3-540-72823-8_35

Bouma, H. ; Vilanova, A. ; Olivan Bescos, J. et al. / Fast and accurate Gaussian derivatives based on B-splines. Proceedings of the 1st International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007), 30 May - 2 June 2007, Ischia, Italy. editor / F. Sgallari ; A. Murli ; N. Paragios. Berlin / Heidelberg : Springer, 2007. pp. 406-417 (Lecture Notes in Computer Science).

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title = "Fast and accurate Gaussian derivatives based on B-splines",

abstract = "Gaussian derivatives are often used as differential operators to analyze the structure in images. In this paper, we will analyze the accuracy and computational cost of the most common implementations for differentiation and interpolation of Gaussian-blurred multi-dimensional data. We show that – for the computation of multiple Gaussian derivatives– the method based on B-splines obtains a higher accuracy than the truncated Gaussian at equal computational cost.",

author = "H. Bouma and A. Vilanova and \{Olivan Bescos\}, J. and \{Haar Romenij, ter\}, B.M. and F.A. Gerritsen",

year = "2007",

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language = "English",

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pages = "406--417",

editor = "F. Sgallari and A. Murli and N. Paragios",

booktitle = "Proceedings of the 1st International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007), 30 May - 2 June 2007, Ischia, Italy",

address = "Germany",

note = "First International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007) ; Conference date: 30-05-2007 Through 02-06-2007",

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Bouma, H, Vilanova, A, Olivan Bescos, J, Haar Romenij, ter, BM & Gerritsen, FA 2007, Fast and accurate Gaussian derivatives based on B-splines. in F Sgallari, A Murli & N Paragios (eds), Proceedings of the 1st International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007), 30 May - 2 June 2007, Ischia, Italy. Lecture Notes in Computer Science, vol. 4485, Springer, Berlin / Heidelberg, pp. 406-417, First International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007) , Ischia, Italy, 30/05/07. https://doi.org/10.1007/978-3-540-72823-8_35

Fast and accurate Gaussian derivatives based on B-splines. / Bouma, H.; Vilanova, A.; Olivan Bescos, J. et al.
Proceedings of the 1st International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007), 30 May - 2 June 2007, Ischia, Italy. ed. / F. Sgallari; A. Murli; N. Paragios. Berlin / Heidelberg: Springer, 2007. p. 406-417 (Lecture Notes in Computer Science; Vol. 4485).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AU - Gerritsen, F.A.

PY - 2007

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AB - Gaussian derivatives are often used as differential operators to analyze the structure in images. In this paper, we will analyze the accuracy and computational cost of the most common implementations for differentiation and interpolation of Gaussian-blurred multi-dimensional data. We show that – for the computation of multiple Gaussian derivatives– the method based on B-splines obtains a higher accuracy than the truncated Gaussian at equal computational cost.

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Bouma H, Vilanova A, Olivan Bescos J, Haar Romenij, ter BM, Gerritsen FA. Fast and accurate Gaussian derivatives based on B-splines. In Sgallari F, Murli A, Paragios N, editors, Proceedings of the 1st International Conference on Scale Space and Variational Methods in Computer Vision (SSVM 2007), 30 May - 2 June 2007, Ischia, Italy. Berlin / Heidelberg: Springer. 2007. p. 406-417. (Lecture Notes in Computer Science). doi: 10.1007/978-3-540-72823-8_35

Fast and accurate Gaussian derivatives based on B-splines

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