Concept of Projection and Solving Methods for Descriptive Geometry in Virtual Space Represented by 3DCG Software

摘要

Zugaku (graphics science, descriptive geometry) includes a process to exteriorize images of 3D spaces and objects inside human brains. 3DCG software provides functions to exteriorize the images into a virtual space realized inside a computer. Therefore, 3DCG software and Zugaku are compatible. The process to exteriorize through 3DCG software can be thought as creative acts and virtual creation. In the process, interfaces between images inside a brain and virtual spaces inside a computer are very important. Research and education about the interfaces would be important in Zugaku of the digital generation. The interfaces are projections of a virtual space on a computer screen and operations using a mouse pointer on the screen. Since learners must operate a virtual space through the interfaces, lack of understandings about projection results in delay of learning as well as wrong operations because of confusion. In the other words, it frustrate beginners that they cannot touch spaces and objects directly, and they are often lost directions and objects. In this research, we aim to explain concepts of projections which are important when dealing with virtual spaces through the interfaces of 3DCG software, by extending Zugaku.