IEEE Trans Vis Comput Graph - Uniform B-Spline Curve Interpolation with Prescribed Tangent and Curvature Vectors.

Tópicos

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Resumo

This paper presents a geometric algorithm for the generation of uniform cubic B-spline curves interpolating a sequence of data points under tangent and curvature vectors constraints. To satisfy these constraints, knot insertion is used to generate additional control points which are progressively repositioned using corresponding geometric rules. Compared to existing schemes, our approach is capable of handling plane as well as space curves, has local control, and avoids the solution of the typical linear system. The effectiveness of the proposed algorithm is illustrated through several comparative examples. Applications of the method in NC machining and shape design are also outlined.

Resumo Limpo

paper present geometr algorithm generat uniform cubic bspline curv interpol sequenc data point tangent curvatur vector constraint satisfi constraint knot insert use generat addit control point progress reposit use correspond geometr rule compar exist scheme approach capabl handl plane well space curv local control avoid solut typic linear system effect propos algorithm illustr sever compar exampl applic method nc machin shape design also outlin

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