منابع مشابه
Algorithms on cone spline surfaces and spatial osculating arc splines
Developable surfaces are of considerable importance to many industry applications, e.g. sheet metal forming processes. The objective of this paper is to provide algorithms on the approximation of developable surfaces with pieces of right circular cones. Special emphasis is devoted to practical choices of free parameters and to error estimation. Furthermore, a new algorithm for the approximation...
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The emergence of visual programming and processing environments and the raw power of computers now makes it possible to present technical subjects with interactive involvement of the student. We report on a development that is the analogy of a science laboratory for geometry. The result is an electronic book which contains text navigation facilities, supplementary menu driven modes, and in part...
متن کاملIntegrable Curves and Surfaces
The connection of curves and surfaces in R3 to some nonlinear partial differential equations is very well known in differential geometry [1], [2]. Motion of curves on two dimensional surfaces in differential geometry lead to some integrable nonlinear differential equations such as nonlinear Schrödinger (NLS) equation [3], Korteweg de Vries (KdV) and modified Korteweg de Vries (mKdV) equations [...
متن کاملTruchet curves and surfaces
Spanning tree contours, a special class of Truchet contour based upon a random spanning tree of a Truchet tiling’s underlying graph, are presented. This spanning tree method is extended to three dimensions to define a Truchet surface with properties similar to its twodimensional counterpart. Both contour and surface are smooth, have known minimum curvature and known maximum distance to interior...
متن کاملSubdivision Curves and Surfaces
Although curves can be generally described by using concepts such as NURBS, we will introduce subdivision curves as a lead-in to the more general concept of subdivision surfaces. Suppose we wanted to perform knot-insertion in the middle of a B-spline curve defined by four control points, p0 through p3. Using the blossoming technique, we would determine the control point to be as in Figure 1. Th...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1926
ISSN: 0002-9947
DOI: 10.2307/1989184