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dc.contributor.authorFiume, Eugeneen_US
dc.date.accessioned2014-10-21T07:35:01Z
dc.date.available2014-10-21T07:35:01Z
dc.date.issued1995en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttp://dx.doi.org/10.1111/1467-8659.1410047en_US
dc.description.abstractThe main preoccupations of research in computer-aided geometric design have been on shape-specification techniques for polynomial curves and surfaces, and on the continuity between segments or patches. When modelling with such techniques, curves and surfaces can be compressed or expanded arbitrarily. There has been relatively little work on interacting with direct spatial properties of curves and surfaces, such as their arc length or surface area. As a first step, we derive families of parametric piecewise polynomial curves that satisfy various positional and tangential constraints together with arc-length constraints. We call these curves isometric curves. A space curve is defined as a sequence of polynomial curve segments, each of which is defined by the familiar Hermite or Bezier constraints for cubic polynomials- as well, each segment is constrained to have a specified arc length. We demonstrate that this class of curves is attractive and stable. We also describe the numerical techniques used that are sufficient for achieving real time interaction with these curves on low-end workstations.en_US
dc.publisherBlackwell Science Ltd and the Eurographics Associationen_US
dc.titleIsometric Piecewise Polynomial Curvesen_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.description.volume14en_US
dc.description.number1en_US
dc.identifier.doi10.1111/1467-8659.1410047en_US
dc.identifier.pages47-58en_US


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