Computer Aided Geometric Design - Special issue: Topics in CAGD
Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Computational geometry: curve and surface modeling
Computational geometry: curve and surface modeling
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Interactive curve design using digital French curves
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Curve Fitting with Conic Splines
ACM Transactions on Graphics (TOG)
An interface for creating and manipulating curves using a high degree-of-freedom curve input device
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Euler Spiral for Shape Completion
International Journal of Computer Vision - Special Issue on Computational Vision at Brown University
CGI '01 Proceedings of the International Conference on Computer Graphics
A suggestive interface for image guided 3D sketching
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Meshless deformations based on shape matching
ACM SIGGRAPH 2005 Papers
Cords: keyframe control of curves with physical properties
SIGGRAPH '04 ACM SIGGRAPH 2004 Sketches
Fairing point sets using curvature
Computer-Aided Design
Robust statistical estimation of curvature on discretized surfaces
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Technical section: A controlled clothoid spline
Computers and Graphics
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
ACM SIGGRAPH Asia 2010 papers
A sketch-based system for highway design
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
Gesture-based design of 2D contours: an alternative to sketching?
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
Neatening sketched strokes using piecewise French curves
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
3D Euler spirals for 3D curve completion
Computational Geometry: Theory and Applications
G3 quintic polynomial approximation for Generalised Cornu Spiral segments
Journal of Computational and Applied Mathematics
Computer Graphics Forum
Active strokes: coherent line stylization for animated 3D models
NPAR '12 Proceedings of the Symposium on Non-Photorealistic Animation and Rendering
Proceedings of the International Symposium on Sketch-Based Interfaces and Modeling
Design-driven quadrangulation of closed 3D curves
ACM Transactions on Graphics (TOG) - Proceedings of ACM SIGGRAPH Asia 2012
Sketch-based aesthetic product form exploration from existing images using piecewise clothoid curves
Journal of Visual Languages and Computing
Mobile Networks and Applications
SMI 2013: Curvature-controlled curve editing using piecewise clothoid curves
Computers and Graphics
Geometric constraints on quadratic Bézier curves using minimal length and energy
Journal of Computational and Applied Mathematics
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We present a novel approach to sketching 2D curves with minimally varying curvature as piecewise clothoids. A stable and efficient algorithm fits a sketched piecewise linear curve using a number of clothoid segments with G^2 continuity based on a specified error tolerance. Further, adjacent clothoid segments can be locally blended to result in a G^3 curve with curvature that predominantly varies linearly with arc length. We also handle intended sharp corners or G^1 discontinuities, as independent rotations of clothoid pieces. Our formulation is ideally suited to conceptual design applications where aesthetic fairness of the sketched curve takes precedence over the precise interpolation of geometric constraints. We show the effectiveness of our results within a system for sketch-based road and robot-vehicle path design, where clothoids are already widely used.