Curves and surfaces for computer-aided geometric design - a practical guide, 4th Edition
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Curves and surfaces for computer aided geometric design - a practical guide, 3rd Edition
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Algebraic curves and surfaces have been studied intensively in algebraic geometry for centuries. Thus, there exists a huge amount of theoretical knowledge about these geometric objects. Recently, algebraic curves and surfaces play an important and ever increasing rôle in computer aided geometric design, computer vision, computer aided manufacturing, coding theory, and cryptography, just to name...
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A method for subdividing polygonal complexes and identifying conditions to control their limit curves is presented. A polygonal complex is a sequence of panels where every two adjacent panels share one edge only. We formulate this problem and establish a general theory which has a number of applications in CAGD such as the generation of subdivision surfaces through predefined arbitrary network ...
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It is frequently necessary to complete the design of a surface from a specification of its boundary. Many techniques have been developed to solve this problem if the boundary is topologically a triangle or rectangle, and the curves are specified as NURBS. More complex boundaries generally require manual efforts to decompose the perimeter into topologically rectangular or triangular regions and ...
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Curvature formulas for implicit curves and surfaces are derived from the classical curvature formulas in Differential Geometry for parametric curves and surfaces. These closed formulas include curvature for implicit planar curves, curvature and torsion for implicit space curves, and mean and Gaussian curvature for implicit surfaces. Some extensions of these curvature formulas to higher dimensio...
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عنوان ژورنال:
- SIAM Review
دوره 33 شماره
صفحات -
تاریخ انتشار 1990