Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
Geometric shock-capturing eno schemes for subpixel interpolation, computation and curve evolution
Graphical Models and Image Processing
Euler Spiral for Shape Completion
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Journal of Computational and Applied Mathematics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
High-order accurate implementation of solid wall boundary conditions in curved geometries
Journal of Computational Physics
Journal of Computational Physics
An Improved Euler Spiral Algorithm for Shape Completion
CRV '08 Proceedings of the 2008 Canadian Conference on Computer and Robot Vision
G1 interpolation with a single Cornu spiral segment
Journal of Computational and Applied Mathematics
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We propose an algorithm for the interpolation of two-dimensional curves using Euler spirals. The method uses a lower order reconstruction to approximate solution derivatives at each sample point. The computed tangents are then used to connect consecutive points with segments of Euler spirals. The resulting interpolation is G^1 in regions where the curve being interpolated is smooth. The algorithm uses an adaptive stencil which allows it to construct an approximation free of oscillations near discontinuities in the function or its derivatives. The approximation is based on geometrical shapes which makes it particularly suitable for two-dimensional curves.