Implicit Generalized Cylinders using Profile Curves
نویسنده
چکیده
We introduce an implicit generalized cylinder which is constructed from an axis and one or more profile curves. This surface is related to the sweep which is traditionally formed by an axis curve and one or more cross sections. Instead of cross sections, this definition uses profile curves to define how far the surface is from the axis. This facilitates the construction of surfaces which have continually varying cross sections. We extend this definition to a generalized cylinder with two axis curves. This model is useful for surfaces where one side of the surface curves sharply away from the axis while the axis itself is curving. We also present a user interface for editing these sweeps. CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling, Curve, Surface, Solid, and Object Representations, Splines Additional
منابع مشابه
Modeling and Animation of Generalized Cylinders with Variable Radius O set Space Curves
A method is presented for the modeling and animation of generalized cylinders with variable radius ooset space curves. The boundary surface of a generalized cylinder is constructed: either as a translational sweep of cross-sectional curves along the skeleton curve, or as a rotational sweep of proole curves around the skeleton curve. The cross-sectional curves are computed as the variable radius...
متن کاملThermoelastic Analysis in Thick FGM Cylinders with Extended Profile
An exact solution is obtained for an axisymmetric steady-state thermo-mechanical stresses in a thick functionally graded cylinder. The material properties are graded along the radial direction according to an exponential function of radial direction with three constants. The advantage of the proposed model, compared to the models with two constants such as the linear, power ...
متن کاملModeling generalized cylinders using direction map representation
For generalized cylinders (GC) defined by contours of discrete curves, we propose two algorithms to generate GC surfaces (1) in polygonal meshes and (2) in cylindrical type of developable surface patches. To solve the contour blending problem of generalized cylinder, the presented algorithms have adopted the algorithms and properties of LIDM (linear interpolation by direction map) that interpol...
متن کاملImplicit Polynomial Based Geometric Shape Modeling and Recognition
This paper presents a brief overview and focuses on two key aspects of a technology for representing and recognizing complicated 2D and 3D shapes subject to partial occlusion and missing data, based on implicit polynomials. The two key aspects are new concepts and results for fast, robust, repeatable tting of implicit poly-nomials to data, and new approaches to representing and recognizing comp...
متن کامل