# Topological derivative

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2015

2015

- IEEE Transactions on Image Processing
- 2015

Topological derivative has been employed for image segmentation and restoration. The topological derivative-based segmentationâ€¦Â (More)

Is this relevant?

2013

2013

- 2013

A comprehensive treatment of the topological derivative for anisotropic elasticity is presented, with both the backgroundâ€¦Â (More)

Is this relevant?

2009

2009

- Encyclopedia of Optimization
- 2009

In the paper the topological derivative for arbitrary shape functional is deened. Examples are provided for elliptic equationsâ€¦Â (More)

Is this relevant?

2009

2009

- Applied Mathematics and Computer Science
- 2009

The form of topological derivatives for integral shape functional is derived for a class of semilinear elliptic equations. Theâ€¦Â (More)

Is this relevant?

Highly Cited

2005

Highly Cited

2005

- 2005

A numerical coupling of two recent methods in shape and topology optimization of structures is proposed. On the one hand, theâ€¦Â (More)

Is this relevant?

Highly Cited

2004

Highly Cited

2004

- 2004

The aim of this paper is to investigate the use of topological derivatives in combination with the level set method for shapeâ€¦Â (More)

Is this relevant?

2004

2004

- 2004

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether theyâ€¦Â (More)

Is this relevant?

2004

2004

- 2004

HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether theyâ€¦Â (More)

Is this relevant?

1999

1999

- 1999

The topological derivative is introduced for the extremal values of cost functionals for control problems. The optimal controlâ€¦Â (More)

Is this relevant?

Highly Cited

1998

Highly Cited

1998

- 1998

A large variety of spacetimesâ€”including the BTZ black holesâ€”can be obtained by identifying points in 2+1 dimensional anti-deâ€¦Â (More)

Is this relevant?