軸測図法による作図の能率化に資する投象系変換用補助図式の試案 Suggested Subschemes for Types of Transformation in Axonometric Drawing toward its Added Utility
As a mere manual mode of orthographic illustration the axonometric drawing is increasingly treated in terms of its CG equivalent as a more generic form of presentation and its practical methodology seems to remain without sensible renovation. But both forms are basically interactive; with the former more logically tangible, also underlying the art of realism, esp. sketching etc.<BR>The present report aims to help enhance practical utility of axonometric manual drawing routines by auxiliary means as follows.<BR>One is a basic subscheme as a version of the conventional form of rotational transformation of an axonometric coodinate plane ; introduced for easier construction of its true shape, notably when the angle between the axis of rotation and either of relevant two principal axes to be rotated is too small to intersect within the limits of the practicable construction.<BR>The other ancillaries are for the construction of rotation of the reference system so that it may have any designated angle to the visual ray. One such scheme serves to decide a dimetric system symmetrical with respect to one of its lateral principal axes. It has been numerically treated as is the case with DIN's standardized system (i. e. normierte Axonometrie), only to prove herein capable of facile construction.<BR>The rest are two subsystems to help construction of rotation of a principal plane to fill composite requirements for visual angle ; with which to draw ellipses available as standard template configurations, intended to be applicable e.g. to depict circular-sectioned combinations of objects and exemplified by illustrations of intersected solids.
図学研究 32(2), 47-54, 1998-06-01