Abstract
This paper presents a constructive method for generating a uniform cubic B-spline curve interpolating a set of data points simultaneously controlled by normal and curvature constraints. By comparison, currently published methods have addressed one or two of those constraints (point, normal or cross-curvature interpolation), but not all three constraints simultaneously with C2 continuity. Combining these constraints provides better control of the generated curve in particular for feature curves on free-form surfaces. Our approach is local and provides exact interpolation of these constraints.
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Abbas, A., Nasri, A. & Maekawa, T. Generating B-spline curves with points, normals and curvature constraints: a constructive approach. Vis Comput 26, 823–829 (2010). https://doi.org/10.1007/s00371-010-0441-2
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DOI: https://doi.org/10.1007/s00371-010-0441-2