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Almost all record accesses thus require two disc reads, one for the directory to identify the location of the record and the second for the record itself. Careful analyses were made of the data structures and com­ putations needed for storing and manipulating the shapes of building components. These are described below. Records for topology routines will store executable code that will most likely call other routines. We estimate that 90% of all topology routines can reside within a disc sector and the rest will require two.

More critical how­ ever is the structure of the project file. It will be added to and manipulated continuously throughout the life of a project. In this paper, I wish to focus on the structuring of spatial information on project files for computer aided design. A good structure will be one that requires both small amounts of stor- STRUCTURING OF GEOMETRIC DATA 33 age and is efficiently operated on. Rather than consider the detail structure of spatial information — on the existence or nonexistence of particular pointers or data — I will focus one level higher, on the organization of information into records and the organization of these records.

Newman, W. and R. Sproull, Principles of Interactive puter Graphics, McGraw-Hill, New York, 1973. Com­ 13. Phong, B. , "Illumination for Computer Generated Pic­ tures," Communications of the ACM, 18:6 (June, 1975), pp. 311-317. 14. Ross, P. , "The AED Free Store Package," of the ACM, 10:8, August 1967, pp. 481-492. 15. , "Three Dimensional Data Input by Tablet," Proceedings of the IEEE, 62:64 (April 1974). 16. , R. F. Sproull and R. Schumacker, "A Charac­ terization of Ten-Hidden Surface Algorithms," Computing Surveys, 6 (March 1974), pp.

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