# Topologically adaptable snakes

@article{McInerney1995TopologicallyAS, title={Topologically adaptable snakes}, author={T. McInerney and Demetri Terzopoulos}, journal={Proceedings of IEEE International Conference on Computer Vision}, year={1995}, pages={840-845} }

The paper presents a typologically adaptable snakes model for image segmentation and object representation. The model is embedded in the framework of domain subdivision using simplicial decomposition. This framework extends the geometric and topological adaptability of snakes while retaining all of the features of traditional snakes, such as user interaction, and overcoming many of the limitations of traditional snakes. By superposing a simplicial grid over the image domain and using this grid… Expand

#### 454 Citations

Medical Image Segmentation Using Topologically Adaptable Snakes

- Computer Science
- CVRMed
- 1995

A 2D model is applied to segment structures from medical images with complex shapes and topologies, such as arterial “trees”, that cannot easily be segmented with traditional deformable models. Expand

Loop snakes: the generalized model

- Mathematics, Computer Science
- Ninth International Conference on Information Visualisation (IV'05)
- 2005

The original model of the loop snakes model is generalized by allowing the contraction as well as the expansion of several T-snakes. Expand

Dual Topologically Adaptable Snakes

- 2000

The original Snake model suffers from the strong sensitivit y to the initial contour position and can not deal with topological changes. The T-Snake is an approac h to relieve the problem of… Expand

Loop snakes: snakes with enhanced topology control

- Computer Science, Mathematics
- Proceedings. 17th Brazilian Symposium on Computer Graphics and Image Processing
- 2004

This work introduces a novel approach for controlling the topology of a T-snake by focusing on the loops formed by the so-called projected curve which is obtained at every stage of the snake evolution. Expand

Network snakes: graph-based object delineation with active contour models

- Computer Science
- Machine Vision and Applications
- 2010

A graph-based method of active contour models called network snakes is presented and investigated, enabling a free optimization of arbitrary graphs representing the geometric position of networks and boundaries between adjacent objects. Expand

Medical image segmentation using topologically adaptable surfaces

- Computer Science
- CVRMed
- 1997

ACD-based deformable surfaces are described and their potential for extracting and reconstructing some of the most complex biological structures from medical image volumes is demonstrated. Expand

Intelligent balloon: a subdivision-based deformable model for surface reconstruction of arbitrary topology

- Mathematics, Computer Science
- SMA '01
- 2001

The Intelligent Balloon is a parameterized subdivision surface whose geometry and its deformable behaviors are governed by the principle of energy minimization, which proves to be very powerful and extremely useful for boundary representation of complicated solids of arbitrary topology, shape recovery and segmentation for medical imaging, and iso-surface extraction for visualization. Expand

T-snakes: Topology adaptive snakes

- Mathematics, Computer Science
- Medical Image Anal.
- 2000

The 'snakes in ACID' framework significantly extends conventional snakes, enabling topological flexibility among other features and can be used to segment some of the most complex-shaped biological structures from medical images in an efficient and highly automated manner. Expand

Snake Pedals: Compact and Versatile Geometric Models with Physics-Based Control

- Computer Science, Mathematics
- IEEE Trans. Pattern Anal. Mach. Intell.
- 2000

A physics-based control for shaping these geometric models by letting the pedal point vary and use a snake to represent the position of this varying point, which leads to an efficient numerical solution to the model fitting problem. Expand

A boundary extraction approach based on multi-resolution methods and the T-Snakes framework

- Computer Science
- Proceedings 13th Brazilian Symposium on Computer Graphics and Image Processing (Cat. No.PR00878)
- 2000

A new approach which integrates the T-Snakes model and a multi-resolution method in a unified framework for segmentation and boundary extraction for 2D medical imaging and how it can be extended to 3D in future work is presented. Expand

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