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2 Machine Graphics and Vision

2 Kiciak P.

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Rendering rational curves on raster devices

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Kiciak P.

tom Vol. 7, No. 1/2

427-436

We present a very fast and accurate procedure of redering rational Bezier curves on a raster device. The method uses a homographic reparameterization of the curve to obtain the numerator and denominator represented in the monomial basisi and uses the Horner scheme to compute them. The fixed point arithmetics used in the implementation is accompanied by a tounding arror analysis that guarantees the accuracy of the curve image.

On B-spline arithmetic and its applications

100%

Kiciak P.

tom Vol. 9, No. 1/2

15-23

A number of applications in geometric design of arithmetic operations with B-spline arguments are discussed. These include degree elevation, constructing derivatives, normal vector patches, swept surfaces, Coons surfaces and smoothly joined patches in B-spline or NURBS representation.