منابع مشابه
Designing coupled free-form surfaces.
The problem of designing optical systems that contain free-form surfaces is a challenging one, even in the case of designing a single surface. Here we present a method for the coupled design of two free-form reflective surfaces that will have a prescribed distortion. On one hand, the method can be described using traditional vectors and matrices, which we do, but it is motivated by viewing the ...
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In this work, the matching problem between two free-form parametric surfaces, S 0 (u, v) and S 1 (u, v), has been considered in the context of a "rst stage of the metamorphosis process, which is de"ned as gradual and continuous transformation of one key shape into another. A method is presented to approximate the two reparametrization functions, r(u, v) and t(u, v), via a discrete sampled set o...
متن کاملMachining Free-Form Surfaces
This paper presents an analytical method for planning an efficient tool-path in machining free-form surfaces on 3-axis milling machines. This new approach uses a nonconstant offset of the previous tool-path, which guarantees the cutter moving in an unmachined area of the part surface and without redundant machining. The method comprises three steps: (1) the calculation of the tool-path interval...
متن کاملFree-Form Surfaces of degree ( )
This paper introduces new techniques for modeling low degree, smooth freeform surfaces of unrestricted patch layout. In particular, surfaces that are after reparametrization can be built from tensor-product Bézier or spline patches of degree ( ) and (3,d+2); at extraordinary points, these surfaces have the flexibility of splines of total degree . The particular choice, , yields more than vector...
متن کامل3D Free-form Modeling with Variational Surfaces
We describe a free-form stroke-based modeling system where objects are primarily represented by means of variational surfaces. Although similar systems have been described in recent years, our approach achieves both a good performance and reduced surface leak problems by employing a coarse mesh as support for constraint points. The prototype implements an adequate set of modeling operations, “u...
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ژورنال
عنوان ژورنال: Journal of the Optical Society of America A
سال: 2010
ISSN: 1084-7529,1520-8532
DOI: 10.1364/josaa.27.002132