1990 · 35 citations · 7 references
ArchitectureDesign3D ModelingComputer GraphicsInteractive Design SystemsCurve InterpolationCurve ModelingGeometry ProcessingInteractive Design InterfacesInteractive Design ToolsSpline CurvesCurve RepresentationInteractive Parametric ModelingInterpolating SplinesLocal Search AlgorithmsParametric Curve RepresentationReal-time Interactive SystemsSpline InterpolationSpline Modeling
Hand-sketching is a particularly attractive solution to providing an intuitive design interface for modeling. The goal is to reduce the data collected from the input strokes and to construct a curve that faithfully represents the sketched data. This paper presents a new approach to interactive realtime handsketching in two or three dimensions and is-based on the new approach to general spline datafitting presented in [10,8,9].The goal of our approach is to obtain approximating curves with reasonable accuracy at real-time interactive speeds, and at the same time significantly reduce in the number of coefficients for the curve representation over the original data representation. The approach taken here to obtain realtime interaction is to reduce the data incrementally using new local algorithms while the data is still being sketched.
7
Curve-fitting with piecewise parametric cubics
Michael F. Plass, Maureen Stone · 1983 · 153 citations
Algorithms for degree-raising of splines
Elaine Cohen, Tom Lyche, Larry L. Schumaker · ACM Transactions on Graphics · 1985 · 79 citations · Full text