About: Geometric modeling kernel is a research topic. Over the lifetime, 142 publications have been published within this topic receiving 4054 citations. The topic is also known as: modeler.
TL;DR: Computer graphics and geometry modeling using Beta-splines, Computer graphics and geometric modeling usingBeta-spline, and more.
Abstract: Computer graphics and geometric modeling using Beta-splines , Computer graphics and geometric modeling using Beta-splines , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی
TL;DR: This book discusses approaches to Geometric Modelling, Raster Algorithms, and Colour Illumination and Shading Rendering Techniques, as well as some of the techniques used in conventional geometric modelling.
Abstract: Introduction Raster Algorithms Clipping Transformations and the Graphics Pipeline Approaches to Geometric Modelling Basic Geometric Modeling Tools Visible Surface Algorithms Colour Illumination and Shading Rendering Techniques Curves in Computer Graphics Surfaces in Computer Graphics Intersection Algorithms Global Geometric Modelling Topics Local Geometric Modelling Topics Intrinsic Geometric Modelling Computational Geometry Topics Interval Analysis The Finite Element Method Quaternions Digital Image Processing Topics Chaos and Fractals Appendices: Notation Abstract Program Syntax IGES GM - AS Geometric Modelling Program - available at http://extras.springer.com (search 978-1-85233-818-3) SPACE - A Manifold Exploration Program - available at http://extras.springer.com (search 978-1-85233-818-3)
TL;DR: The successful applications of geometric iterative methods are surveyed, including applications in geometric design, data fitting, reverse engineering, mesh and NURBS solid generation.
Abstract: Geometric iterative methods (GIM), including the progressive–iterative approximation (PIA) and the geometric interpolation/approximation method, are a class of iterative methods for fitting curves and surfaces with clear geometric meanings. In this paper, we provide an overview of the interpolatory and approximate geometric iteration methods, present the local properties and accelerating techniques, and show their convergence. Moreover, because it is easy to integrate geometric constraints in the iterative procedure, GIM has been widely applied in geometric design and related areas. We survey the successful applications of geometric iterative methods, including applications in geometric design, data fitting, reverse engineering, mesh and NURBS solid generation.
TL;DR: An approach to achieve topological entity correspondence across collaborative sites during modeling procedure, which is critical to guarantee the correctness and consistency of collaborative modeling result, is proposed.
TL;DR: A large part of the Cgal-project is devoted to the development of a Computational Geometry Algorithms Library, written in C++ as mentioned in this paper, which is the basis for all geometric computation in Cgal.
Abstract: A large part of the Cgal-project is devoted to the development of a Computational Geometry Algorithms Library, written in C++. We discuss design issues concerning the Cgal-kernel which is the basis for the library and hence for all geometric computation in Cgal.