# Digital topology

## Papers overview

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2006

2006

- Journal of Mathematical Imaging and Vision
- 2006

The paper presents a new set of axioms of digital topology, which are easily understandable for application developers. Theyâ€¦Â (More)

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Highly Cited

2006

Highly Cited

2006

- Journal of Mathematical Imaging and Vision
- 2006

The problem of curve matching appears in many application domains, like time series analysis, shape matching, speech recognitionâ€¦Â (More)

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Highly Cited

2003

Highly Cited

2003

- IEEE Trans. Pattern Anal. Mach. Intell.
- 2003

Active contour and surface models, also known as deformable models, are powerful image segmentation techniques. Geometricâ€¦Â (More)

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2003

2003

- Theor. Comput. Sci.
- 2003

We study certain generalized topological structures, called closure operations, that are associated with -ary relations ( Â¿ 1 anâ€¦Â (More)

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2002

Highly Cited

2002

- IEEE Transactions on Medical Imaging
- 2002

Reconstructing an accurate and topologically correct representation of the cortical surface of the brain is an importantâ€¦Â (More)

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Highly Cited

1999

Highly Cited

1999

- Journal of Mathematical Imaging and Vision
- 1999

A version of topology's fundamental group is developed for digital images in dimension at most 3 in [7] and [8]. In the latterâ€¦Â (More)

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Highly Cited

1996

Highly Cited

1996

- Computer Vision and Image Understanding
- 1996

hole in 2D signifying the existence of a component of nonobject (white) points surrounded by an object compoIn this paper weâ€¦Â (More)

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1996

1996

- Computer Vision and Image Understanding
- 1996

only if it is 2n-connected. In 1978 Chassery [2] proved this The possibility or impossibility of topologization is shown forâ€¦Â (More)

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1994

1994

- 1994

The aim of this paper is to give an introduction into the field of digital topology. This topic of research arose in connectionâ€¦Â (More)

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Review

1989

Review

1989

- Computer Vision, Graphics, and Image Processing
- 1989

Digital topology deals with the topological properties of digital images; or, more generally, of discrete arrays in two or moreâ€¦Â (More)

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