Topic
Descriptive geometry
About: Descriptive geometry is a research topic. Over the lifetime, 474 publications have been published within this topic receiving 2202 citations.
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TL;DR: The UNISURF system as mentioned in this paper was designed to help car body design and tooling and mainly to cut down delay and increase accuracy and smoothness, but it was not intended for nonmathematicians.
175 citations
01 Feb 1968
135 citations
TL;DR: Animations were developed that permit the interactive observation by the students of the most important topics of Descriptive Geometry to accelerate the students' learning process.
Abstract: The growing concern of teachers to improve their theoretical classes together with the revolution in content and methods brought about by the New Information Technologies combine to offer students a new more attractive, efficient and agreeable form of learning. The case of Descriptive Geometry (DG) is particularly special, since the main purpose of this subject is not only to provide students with theoretical knowledge of Geometry and Drawing, but also to enhance their spatial perception, one of the seven forms of intelligence and the most essential and vital one in the training of any engineer, but one which has not been sufficiently fomented in pre-university or university education during recent years. With these premises, and with the aim of accelerating the students' learning process, animations were developed that permit the interactive observation by the students of the most important topics of Descriptive Geometry. The software used in the development of the animations is Macromedia Flash; a tool that allows very small vectorial graphics files to be created, thus facilitating their electronic transmission to any user connected to the network.
94 citations
Book•
30 Sep 2005TL;DR: John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD and other areas of computer graphics in this updated and expanded fourth edition of Mathematics for Computer Graphics.
Abstract: John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD and other areas of computer graphics in this updated and expanded fourth edition. The first four chapters revise number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, transforms, interpolation, 3D curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, and the last two chapters provide an introduction to differential and integral calculus, with an emphasis on geometry. Mathematics for Computer Graphics covers all of the key areas of the subject, including:Number setsAlgebraTrigonometryCoordinate systemsTransformsQuaternionsInterpolationCurves and surfacesAnalytic geometryBarycentric coordinatesGeometric algebraDifferential calculusIntegral calculusThis fourth edition contains over 120 worked examples and over 270 illustrations, which are central to the authors descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics, giving a fascinating insight into the design of computer graphics software and setting the scene for further reading of more advanced books and technical research papers.
77 citations
TL;DR: The DiedricAR application allows students to learn in autonomously way by using their own mobile devices that work as Augmented Reality displays over training material (DiedricAR exercise workbook) specially designed for the new learning model defined by the European Higher Education System.
Abstract: This article presents a mobile Augmented Reality system, called DiedricAR, aimed at the learning of Descriptive Geometry. Thanks to its ability to recreate virtual models in real space, Augmented Reality is a technology suitable for making Descriptive Geometry comprehension and interpretation easier. The DiedricAR application allows students to learn in autonomously way by using their own mobile devices (smartphones and tablets), that work as Augmented Reality displays over training material (DiedricAR exercise workbook) specially designed for the new learning model defined by the European Higher Education System. Compared to some of the existing Augmented Reality systems used to learn Descriptive Geometry, DiedricAR offers the advantage of being specifically developed for mobile devices giving the students the possibility of using ubiquitous learning to its ultimate extent by interacting with the didactical content (i.e. showing the desired intermediate step when solving dihedral exercises). The presentation of DiedricAR is completed by exploring some key items such as the potential benefits for students' spatial ability, the relationship between application design and user experience, and software performance on several mobile devices.
49 citations