Abstract

Drawings giving the impression of three dimensions are frequently needed in the analysis of optical components and systems. The normal methods for preparing such picture drawings from plan and elevation views are applicable for only limited viewing positions, require large paper and straightedges and very precise drafting, or are approximations which produce distorted pictures. From the basic characteristics of monocular vision, simple equations can be derived with which the three dimensional coordinates of object points can be converted to two dimensional coordinates on the drawing plane. By use of this transformation, perspective, general trimetric, and isometric drawings to scale can be prepared easily with paper and ruler no larger than the finished drawing. The scale of the drawing and the viewing point can be chosen without restriction. Stereoscopic pairs of drawings may be prepared readily when a more effective illusion of depth is desired.

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References

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  1. Rex V. Cole, Perspective (Seeley, Service & Company, Ltd., London, 1927).
  2. Thomas E. French, A Manual of Engineering Drawing (McGraw-Hill Book Company, Inc., New York, 1941), 6th ed., pp. 430โ€“440.
  3. Gilbert McPherson, Trans. Inst. Min. Met. 47, 347 (1938).

Cole, Rex V.

Rex V. Cole, Perspective (Seeley, Service & Company, Ltd., London, 1927).

French, Thomas E.

Thomas E. French, A Manual of Engineering Drawing (McGraw-Hill Book Company, Inc., New York, 1941), 6th ed., pp. 430โ€“440.

McPherson, Gilbert

Gilbert McPherson, Trans. Inst. Min. Met. 47, 347 (1938).

Other (3)

Rex V. Cole, Perspective (Seeley, Service & Company, Ltd., London, 1927).

Thomas E. French, A Manual of Engineering Drawing (McGraw-Hill Book Company, Inc., New York, 1941), 6th ed., pp. 430โ€“440.

Gilbert McPherson, Trans. Inst. Min. Met. 47, 347 (1938).

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