The use of Cornu spirals in drawing planar curves of controlled curvature
Journal of Computational and Applied Mathematics
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Numerically Invariant Signature Curves
International Journal of Computer Vision
Euler Spiral for Shape Completion
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
Suggestive contours for conveying shape
ACM SIGGRAPH 2003 Papers
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Meshless deformations based on shape matching
ACM SIGGRAPH 2005 Papers
Asymptotic analysis of discrete normals and curvatures of polylines
Proceedings of the 21st spring conference on Computer graphics
Proceedings of Graphics Interface 2009
Sketch-Based Interfaces and Modeling (SBIM): Sketching piecewise clothoid curves
Computers and Graphics
Relief analysis and extraction
ACM SIGGRAPH Asia 2009 papers
Curvature and torsion estimators based on parametric curve fitting
Computers and Graphics
3D Euler spirals for 3D curve completion
Proceedings of the twenty-sixth annual symposium on Computational geometry
Computer Graphics Forum
SMI 2013: Curvature-controlled curve editing using piecewise clothoid curves
Computers and Graphics
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3D Euler spirals are visually pleasing, due to their property of having their curvature and their torsion change linearly with arc-length. This paper presents a novel algorithm for fitting piecewise 3D Euler spirals to 3D curves with G2 continuity and torsion continuity. The algorithm can also handle sharp corners. Our piecewise representation is invariant to similarity transformations and it is close to the input curves up to an error tolerance.