On the Bijectivity of Thin-Plate Splines

DOI10.1007/978-3-642-20236-0_5zbMath1420.41001OpenAlexW1792625910MaRDI QIDQ5195005

Anders P. Erikson, Kalle Åström

Publication date: 17 September 2019

Published in: Analysis for Science, Engineering and Beyond (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-20236-0_5

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (3)

Landmark-matching transformation with large deformation via \(n\)-dimensional quasi-conformal maps ⋮ Parametric finite elements with bijective mappings ⋮ The TPS direct transport: a new method for transporting deformations in the size-and-shape space

Cites Work

• Multivariate interpolation at arbitrary points made simple
• Principal warps: thin-plate splines and the decomposition of deformations
• Semi-Infinite Programming: Theory, Methods, and Applications
• Linear Matrix Inequalities in System and Control Theory
• Determinant Maximization with Linear Matrix Inequality Constraints
• Shape Modeling by Optimising Description Length Using Gradients and Parameterisation Invariance
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