A numerical approach to compute the topology of the apparent contour of a smooth mapping from \(\mathbb{R}^2\) to \(\mathbb{R}^2\)

DOI10.1016/j.cam.2014.03.032zbMath1326.57048OpenAlexW2081766473MaRDI QIDQ2517499

Nicolas Delanoue, Sébastien Lagrange

Publication date: 26 August 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2014.03.032

zbMATH Keywords

interval analysisrigorous numericsportraitapparent contour

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Implicit function theorems, Jacobians, transformations with several variables (26B10) Computer-aided design (modeling of curves and surfaces) (65D17) Numerical problems in dynamical systems (65P99)

Related Items (3)

A certified numerical algorithm for the topology of resultant and discriminant curves ⋮ Certified numerical algorithm for isolating the singularities of the plane projection of generic smooth space curves ⋮ Reliable Computation of the Singularities of the Projection in $$\mathbb R^3$$ of a Generic Surface of $$\mathbb R^4$$

Uses Software

• filib++

Cites Work

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• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Guaranteeing the homotopy type of a set defined by non-linear inequalities
• Injectivity analysis using interval analysis: Application to structural identifiability
• Evaluating Derivatives
• FILIB++, a fast interval library supporting containment computations
• Interval Methods for Systems of Equations

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