منابع مشابه
An improved algorithm for algebraic curve and surface fitting
Recent years have seen an increasing interest in algebraic curves and surfaces of high degree as geometric models or shape descriptors for model-based computer vision tasks such as object recognition and position estimation. Although their invariant-theoretic properties them a natural choice for these tasks, fitting algebraic curves and surfaces to data sets is difficult, and fitting algorithms...
متن کاملGeometric Modeling with Algebraic Surfaces
Research in geometric modeling is currently engaged in increasing the geometric coverage to allow modeling operations on arbitrary algebraic surfaces. Operations on models often include Boolean set operations (intersection, union), sweeps and convolutions, convex bull computa· tions, primitive decomposition, surface and volume mesh generatioD, calculation of surface area and volumetric properti...
متن کاملSelf-similar fractals and arithmetic dynamics
The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are subsets of algebraic varieties which can be written as a finite and disjoint union of `similar' copies. Fractals provide a framework in which, one can unite some results and conjectures in Diophantine g...
متن کاملRegularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine the topology of the implicit object in a box from information on the boundary of this box. Such criteria are given for planar and space algebraic curves and for algebraic surfaces. These tests are used in subdivision ...
متن کاملPiecewise Approximations of Real Algebraic Surfaces
We use a combination of both symbolic and numerical techniques to construct several degree bounded G 0 and G 1 continuous, piecewise approximations of real algebraic surfaces. These approximations are based upon an adaptive triangulation (a G 0 planar approximation) of the real components of the algebraic surface, and includes both singular points and singular curves on the surface. The approxi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2013