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1990•Journal of Graphic Science of JapanOpen access

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Kazuhiko Takeyama, Michikazu Ohnishi

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Abstract

Oblique projection is a parallel projection where projectors are inclined or oblique to the plane of projection. It can be said that oblique projection is obtained when the plane of orthogonal projection is rotated. Therefore, the oblique projection can be produced by one-way uniform extension of a orthographic projection.In this paper, we show that scale of oblique projection can be represented by a ratio and a direction of the extension. We also explain the complete conditions of the extension to obtain frontal axonometries.

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Oblique projection is a parallel projection where projectors are inclined or oblique to the plane of projection. It can be said that oblique projection is obtained when the plane of orthogonal projection is rotated. Therefore, the oblique projection can be produced by one-way uniform extension of a orthographic projection.In this paper, we show that scale of oblique projection can be represented by a ratio and a direction of the extension. We also explain the complete conditions of the extension to obtain frontal axonometries.

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Available abstract

Oblique projection is a parallel projection where projectors are inclined or oblique to the plane of projection. It can be said that oblique projection is obtained when the plane of orthogonal projection is rotated. Therefore, the oblique projection can be produced by one-way uniform extension of a orthographic projection.In this paper, we show that scale of oblique projection can be represented by a ratio and a direction of the extension. We also explain the complete conditions of the extension to obtain frontal axonometries.

Key concepts: Oblique projection, Oblique case, Projection (relational algebra), Graphical projection, Orthographic projection, Planar projection, Extension (predicate logic), Mathematics

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