Synthetic Holograms of Splines

In this paper we present an approach for the holographic imaging of objects composed of splines. It is based on an imaging method for lines and extended to fit the requirements for the visualization of 3D curves. The input object consisting of splines is decomposed into line segments. These segments are subsequently transferred into the holographic equivalent—a set of textured rectangles appropriately placed in 3D space. Proper rectangle orientation and texture distortion allow a narrow approximation of holographic patterns generated by cylindrical and conical waves. Our approach allows faster hologram generation compared to traditional methods. We employ computer graphics rendering, exploiting hardware support for the rendering of textured geometry.

[1]  Tom Davis,et al.  Opengl programming guide: the official guide to learning opengl , 1993 .

[2]  Mark E. Lucente,et al.  Interactive computation of holograms using a look-up table , 1993, J. Electronic Imaging.

[3]  Thomas Beth,et al.  Design of paraxial diffractive elements with the computer-aided design (CAD) system DigiOpt , 1995, Photonics West.

[4]  Alf Ritter,et al.  Synthetische Holografie und Computergrafik , 1997, SimVis.

[5]  David R. Forsey,et al.  How to Render Frames and Influence People , 1994, Comput. Graph. Forum.

[6]  Lance Williams,et al.  View Interpolation for Image Synthesis , 1993, SIGGRAPH.

[7]  Mark Lucente,et al.  Rendering interactive holographic images , 1995, SIGGRAPH.

[8]  Thomas Beth,et al.  Design of paraxial diffractive elements with the CAD system DIGIOPT , 1995 .

[9]  D. Gabor.  A New Microscopic Principle , 1948, Nature.

[10]  Olof Bryngdahl,et al.  Computer-generated holograms: Reconstruction of curves in 3-D , 1986 .

[11]  John Rohlf,et al.  IRIS performer: a high performance multiprocessing toolkit for real-time 3D graphics , 1994, SIGGRAPH.

[12]  Oliver Deussen,et al.  Holographic imaging of lines: a texture based approach , 1997, Proceedings. 1997 IEEE Conference on Information Visualization (Cat. No.97TB100165).

[13]  O. Bryngdahl,et al.  Computer-generated holograms of three-dimensional objects composed of line segments , 1986 .

[14]  David Zeltzer,et al.  Three Dimensional Visual Display Systems for Virtual Environments , 1992, Presence: Teleoperators & Virtual Environments.

[15]  D . Leseberg,et al.  Free Positioned And Oriented Focal Lines From Computer-Generated Holograms , 1987, Hague International Symposium.