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Computer-Aided Design
Published in Yoseph Bar-Cohen, Advances in Manufacturing and Processing of Materials and Structures, 2018
Nicholaos Bilalis, Emmanuel Maravelakis
Geometric modeling is the backbone of a CAD system for creating the part/product shape. It provides the mathematical foundation, the methods and the algorithms for describing the shape, and the topology of a part. The subject is quite extensive, and the reader is encouraged to refer to the literature for references, such as Faux and Pratt (1979), Piegl (1995), Rogers (1987), and Choi (1991), to name a few. Geometric modeling is untransparent to the user of a CAD system, for most applications; however, a good knowledge of geometric modeling will allow him/her to better understand the behavior of a system, the terminology used in surface modeling applications, the use of the various methods for editing parts, and the choice of the various parameters for executing certain tasks.
Types of Robols and Their Integration into Computer-Integrated Manufacturing Systems
Published in Ulrich Rembold, Robot Technology and Applications, 2020
The geometric modeling usually is done with a 3D-CAD system with a solid modeler or a surface representation scheme. Some of the available systems support modeling of kinematic chains and the definition of trajectory frames. For the direct generation of the position reference frames, geometric models of the raw, intermediate, and final product must exist. Collision check and the optimization of the trajectory are done with a simulation system. The calculation of the collision space and of the free space requires fast geometric computation methods and the application of geometric reasoning.
Reconstruction of 3D digital heritage objects for VR and AR applications
Published in Journal of Information and Telecommunication, 2022
Sinh Van Nguyen, Son Thanh Le, Minh Khai Tran, Ha Manh Tran
The mathematics is always the foundation for building algorithms applied in the field of information technology (IT). As a topic of mathematics, geometric modelling is the background used to process the 3D objects in the research field of computer graphics, computer vision and image processing. These research are more and more attractive and widely used in practice for 3D applications, both in scientific research and industry. Building an object from a real dataset, reconstructing the 3D objects or creating a virtual environment to simulate, render or restore the real objects, etc. are popular topics of the researchers in IT, 3D art, designer, mechanics or even in archaeology, etc. Therefore, processing the 3D objects can bring us interesting research topics that is not only applied in the fields of graphical industry but also used in the application of digital tourism, heritages or museum.
A new method of the top-down parametric design for quick subdivision based on constraints
Published in Journal of Marine Engineering & Technology, 2019
Conventional geometric modelling technology represents the geometric model with wireframe model, surface model, or solid model. B-rep (boundary representation) and CSG (constructive solid geometry) are the dominant methods of solid modelling in the practical engineering field (Yu et al. 2010). However, these methods suffer from following defects when being applied in ship engineering. B-rep is based on the 2D surface manifold, while CSG is based on regular solid objects. In theory, the representation of solid model is not complete.The coverage of solid modelling is limited and the boundary of the model must be manifold, which cannot meet the engineering demands of a ship.Wireframe, surface or solid is represented separately by conventional models and cannot meet the needs of different expression models in the process of ship design.