Cited by 4,001Medical Image Segmentation TechniquesImage and Object Detection TechniquesImage and Signal Denoising Methods

Snakes, shapes, and gradient vector flow

Chenyang Xu, Prince, J.L.·1998·IEEE Transactions on Image Processing

Abstract

Snakes, or active contours, are used extensively in computer vision and image processing applications, particularly to locate object boundaries. Problems associated with initialization and poor convergence to boundary concavities, however, have limited their utility. This paper presents a new external force for active contours, largely solving both problems. This external force, which we call gradient vector flow (GVF), is computed as a diffusion of the gradient vectors of a gray-level or binary edge map derived from the image. It differs fundamentally from traditional snake external forces in that it cannot be written as the negative gradient of a potential function, and the corresponding snake is formulated directly from a force balance condition rather than a variational formulation. Using several two-dimensional (2-D) examples and one three-dimensional (3-D) example, we show that GVF has a large capture range and is able to move snakes into boundary concavities.

Integrity signals

Registry

Crossref · 10.1109/83.661186

Cites

31 of 31 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Claims the paper makes

This paper’s full text isn’t openly available, so its claims and self-check weren’t run. The registry and citation checks still apply.

Cites

Flagged first, then by citations

1 of the 32 references couldn’t be matched to a known paper.

Cited by

Sorted by citations

Authors
Xu, C., & Prince, J. L.
Affiliations
Johns Hopkins University (US)
Venue
IEEE Transactions on Image Processing
Published
1998-03
Volume
7
Issue
3
Pages
359-369
ISSN
1057-7149 (ISSN-L)
OpenAlex
W2145803225
Cited by
4,001
References
32
Citations by year
2026: 26 · 2025: 30 · 2024: 38 · 2023: 48 · 2022: 62 · 2021: 85 · 2020: 78 · 2019: 110 · 2018: 99 · 2017: 135 · 2016: 165 · 2015: 221 · 2014: 236 · 2013: 243 · 2012: 274
FWCI
35.98
Type
journal article
Language
en
Open access
closed
Locations
  • IEEE Transactions on Image Processing (publishedVersion)
  • PubMed (publishedVersion)
Funders
National Science Foundation
Topics
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Medical Image Segmentation Techniques
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Image and Object Detection Techniques
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Image and Signal Denoising Methods
Keywords
snakes, gradient vector flow, external forces, edge maps, gradient diffusion, force balance, object boundary detection

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review