Computer generated holograms for display have been developed in the last decade but many numerical difficulties arise when the Fresnel and Fraunhofer hypotheses do not hold. For display applications, interference between different points of the object can be considered as intermodulation noise. Thus, we consider intermodulation-noise-free intensity holograms. Three different numerical methods have been used to generate holograms of warped curves: point-to-point, a specific numerical integration, and stationary phase approach. The most flexible one is the point-to-point method that takes advantage of the linearity of intermodulation-noise-free holograms, but very large computation times are attained. Integrated methods are more economic and different elements of curves can be easily added to built up figures, but specific algorithms have to be devised for each kind of curve. Some examples of computer generated intermodulation-noise-free holograms of objects composed by linear segments are presented as well as reconstructions of them.
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