منابع مشابه
Bivariate hermite subdivision
A subdivision scheme for constructing smooth surfaces interpolating scattered data in 1~3 is proposed. It is also possible to impose derivative constraints in these points. In the case of functional data, i,e., data are given in a properly triangulated set of points {(x~, y~)}~=~ from which none of the pairs (xi, Yi) and (x j, gj) with i ~ j coincide, it is proved that the resulting surface (fu...
متن کاملExtended Hermite subdivision schemes
Subdivision schemes are efficient tools for building curves and surfaces. For vector subdivision schemes, it is not so straightforward to prove more than the Hölder regularity of the limit function. On the other hand, Hermite subdivision schemes produce function vectors that consist of derivatives of a certain function, so that the notion of convergence automatically includes regularity of the ...
متن کاملNoninterpolatory Hermite subdivision schemes
Bivariate interpolatory Hermite subdivision schemes have recently been applied to build free-form subdivision surfaces. It is well known to geometric modelling practitioners that interpolatory schemes typically lead to “unfair” surfaces—surfaces with unwanted wiggles or undulations—and noninterpolatory (a.k.a. approximating in the CAGD community) schemes are much preferred in geometric modellin...
متن کاملHermite-interpolatory subdivision schemes
Stationary interpolatory subdivision schemes for Hermite data that consist of function values and first derivatives are examined. A general class of Hermite-interpolatory subdivision schemes is proposed, and some of its basic properties are stated. The goal is to characterise and construct certain classes of nonlinear (and linear) Hermite schemes. For linear Hermite subdivision, smoothness cond...
متن کاملFace-based Hermite Subdivision Schemes
Interpolatory and non-interpolatory multivariate Hermite type subdivision schemes are introduced in [8, 7]. In their applications in free-form surfaces, symmetry properties play a fundamental role: one can essentially argue that a subdivision scheme without a symmetry property simply cannot be used for the purpose of modelling free-form surfaces. The symmetry properties defined in the article [...
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ژورنال
عنوان ژورنال: Computer Aided Geometric Design
سال: 1997
ISSN: 0167-8396
DOI: 10.1016/s0167-8396(97)00009-5