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Fingerprint Dive into the research topics where Alexander Belyaev is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

Function Estimation Mathematics
Distance Function Mathematics
Painting Engineering & Materials Science
Interpolation Engineering & Materials Science
Image Enhancement Mathematics
Visualization Engineering & Materials Science
Image compression Engineering & Materials Science
Partial differential equations Engineering & Materials Science

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Research Output 2008 2019

  • 21 Article
  • 4 Conference contribution
  • 2 Chapter (peer-reviewed)
  • 1 Poster

An ADMM-based scheme for distance function approximation

Belyaev, A. & Fayolle, P-A., 19 Aug 2019, In : Numerical Algorithms. p. 1-14 14 p.

Research output: Contribution to journalArticle

Open Access
File
Binary images
Experiments

A variational method for accurate distance function estimation

Belyaev, A. G. & Fayolle, P-A., 11 Oct 2019, Numerical Geometry, Grid Generation and Scientific Computing. Garanzha, V. A., Kamenski, L. & Si, H. (eds.). Springer, p. 175-181 7 p. (Lecture Notes in Computational Science and Engineering; vol. 131).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Function Estimation
Distance Function
Variational Problem
Variational Methods
Numerical Experiment

Counting Parallel Segments: New Variants of Pick’s Area Theorem

Belyaev, A. & Fayolle, P-A., Dec 2019, In : The Mathematical Intelligencer. 41, 4, p. 1-7 7 p.

Research output: Contribution to journalArticle

Open Access
File
Counting
Theorem
Polygon
Area formula
Polyhedron

Adaptive curvature-guided image filtering for structure + texture image decomposition

Belyaev, A. & Fayolle, P-A., Oct 2018, In : IEEE Transactions on Image Processing. 27, 10, p. 5192-5203 12 p.

Research output: Contribution to journalArticle

Open Access
File
Textures
Decomposition
Image processing
Processing
Experiments

p-Laplace diffusion for distance function estimation, optimal transport approximation, and image enhancement

Fayolle, P-A. & Belyaev, A. G., Dec 2018, In : Computer Aided Geometric Design. 67, p. 1-20 20 p.

Research output: Contribution to journalArticle

Open Access
File
Optimal Transport
Function Estimation
Image Enhancement
Image enhancement
Distance Function