Dissertation Rational Parametrizations for Envelopes of Quadric Families
نویسنده
چکیده
'Rationale B–Spline Darstel-lungen funktioneller Formen für die CAD/CAM Technik' (P09790–MAT).
منابع مشابه
A Laguerre geometric approach to rational offsets
Laguerre geometry provides a simple approach to the design of rational curves and surfaces with rational offsets. These so-called PH curves and PN surfaces can be constructed from arbitrary rational curves or surfaces with help of a geometric transformation which describes a change between two models of Laguerre geometry. Closely related to that is their optical interpretation as anticaustics o...
متن کاملRational Offset Surfaces and Their Modeling Applications
This survey discusses rational surfaces with rational offset surfaces in Euclidean 3-space. These surfaces can be characterized by possessing a field of rational unit normal vectors, and are called Pythagorean normal surfaces. The procedure of offsetting curves and surfaces is present in most modern 3d-modeling tools. Since piecewise polynomial and rational surfaces are the standard representat...
متن کاملRational Parametrizations of Real Cubic Surfaces
Real cubic algebraic surfaces may be described by either implicit or parametric equations. Each of these representations has strengths and weaknesses and have been used extensively in computer graphics. Applications involving both representations include the efficient computation of surface intersections, and triangulation of curved surfaces. One particularly useful representation is the ration...
متن کاملIdentifying Quadric Bundle Structures on Complex Projective Varieties
In this paper we characterize smooth complex projective varieties that admit a quadric bundle structure on some dense open subset in terms of the geometry of certain families of rational curves.
متن کاملRational Families of Conics and Quadrics
A surface generated by a one parameter family of conics c(t) is called conic surface. If c(t) can be described by rational functions, the generated conic surface is rational. An algorithm to construct real rational parametrizations for such surfaces and some examples will be given.
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تاریخ انتشار 2004