Biomedical Imaging Group
Logo EPFL
    • Splines Tutorials
    • Splines Art Gallery
    • Wavelets Tutorials
    • Image denoising
    • ERC project: FUN-SP
    • Sparse Processes - Book Preview
    • ERC project: GlobalBioIm
    • The colored revolution of bioimaging
    • Deconvolution
    • SMLM
    • One-World Seminars: Representer theorems
    • A Unifying Representer Theorem
Follow us on Twitter.
Join our Github.
Masquer le formulaire de recherche
Menu
BIOMEDICAL IMAGING GROUP (BIG)
Laboratoire d'imagerie biomédicale (LIB)
  1. School of Engineering STI
  2. Institute IEM
  3.  LIB
  4.  B-Spline Snakes
  • Laboratory
    • Laboratory
    • Laboratory
    • People
    • Jobs and Trainees
    • News
    • Events
    • Seminars
    • Resources (intranet)
    • Twitter
  • Research
    • Research
    • Researchs
    • Research Topics
    • Talks, Tutorials, and Reviews
  • Publications
    • Publications
    • Publications
    • Database of Publications
    • Talks, Tutorials, and Reviews
    • EPFL Infoscience
  • Code
    • Code
    • Code
    • Demos
    • Download Algorithms
    • Github
  • Teaching
    • Teaching
    • Teaching
    • Courses
    • Student projects
  • Splines
    • Teaching
    • Teaching
    • Splines Tutorials
    • Splines Art Gallery
    • Wavelets Tutorials
    • Image denoising
  • Sparsity
    • Teaching
    • Teaching
    • ERC project: FUN-SP
    • Sparse Processes - Book Preview
  • Imaging
    • Teaching
    • Teaching
    • ERC project: GlobalBioIm
    • The colored revolution of bioimaging
    • Deconvolution
    • SMLM
  • Machine Learning
    • Teaching
    • Teaching
    • One-World Seminars: Representer theorems
    • A Unifying Representer Theorem

Multi-Scale B-Spline Snakes for General Contour Detection

P. Brigger, M. Unser

Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing VI, San Diego CA, USA, July 19-24, 1998, vol. 3458, pp. 92–102.


Traditional snakes suffer from slow convergence speed (many control points) and difficult to adjust weighting factors for internal energy terms. We propose an alternative formulation using cubic B-splines, where the knot spacing is variable and controlled by the user. A larger knot spacing allows us to reduce the number of parameters, which increases optimization speeds. It also eliminates the need for internal energies, which improves user interactivity. The optimization procedure is embedded into a multi-resolution image representation, where the number of snake points is adapted to the image grid spacing by correctly adjusting the spline knot spacing. Hence, the proposed method provides a multi-scale approach in both the image and parametric contour domain. Our technique provides fast optimization of the initial snake curve and leads to more stable algorithms in noisy imaging environments. Several biomedical examples of applications are included to illustrate the versatility of the method.

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/brigger9802.html,
AUTHOR="Brigger, P. and Unser, M.",
TITLE="Multi-Scale \mbox{{B}-Spline} Snakes for General Contour
	Detection",
BOOKTITLE="Proceedings of the {SPIE} Conference on Mathematical Imaging:
	{W}avelet Applications in Signal and Image Processing {VI}",
YEAR="1998",
editor="",
volume="3458",
series="",
pages="92--102",
address="San Diego CA, USA",
month="July 19-24,",
organization="",
publisher="",
note="")

© 1998 SPIE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from SPIE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.
  • Laboratory
  • Research
  • Publications
    • Database of Publications
    • Talks, Tutorials, and Reviews
    • EPFL Infoscience
  • Code
  • Teaching
Logo EPFL, Ecole polytechnique fédérale de Lausanne
Emergencies: +41 21 693 3000 Services and resources Contact Map Webmaster email

Follow EPFL on social media

Follow us on Facebook. Follow us on Twitter. Follow us on Instagram. Follow us on Youtube. Follow us on LinkedIn.
Accessibility Disclaimer Privacy policy

© 2025 EPFL, all rights reserved