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Two cubic curves can be smoothly joined by giving them the same slope at the junction.
The house has a brick foundation supporting smoothly joined logs that have been planed square and fitted together horizontally.
We contribute to this problem area by showing how to approximate a negatively curved surface by smoothly joined rational bilinear patches.
Finally, freeform deformations based on Darboux transformations are used to generate smooth surfaces from smoothly joined Darboux cyclide patches; in this way we eliminate the restriction to surfaces with negative Gaussian curvature.
Cubic splines are smoothly joined piecewise third-order polynomials.
Piecewise cubic polynomials are smoothly joined at joint points or "knots" [ 17].
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Claudia smoothly joins in with this amusing topic of conversation.
Alex Salmond's plans for an independent Scotland to smoothly join the European Union have been dealt a painful blow after the Scottish first minister's proposals were dismissed by Spain's prime minister.
Mr. Magno, a partner in this new establishment, has developed dishes with flavors that both stand apart as brilliant solo acts and smoothly join the chorus for the grand finale.
Its dynamically sculptural form, inside and out, where the curves of the roof shells merge gently into the walls, and smoothly join with the floors and ramped levels, and these again into the building's very furnishings -- benches, ticket counters and information stands -- seems to have been cast from a single mold.
In this paper we will investigate in more detail the case of canal surfaces that are often used in geometric modelling, Computer-Aided Design and technical practice (e.g. as blending surfaces smoothly joining two parts with circular ends).
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