منابع مشابه
A Comparative Study between Biharmonic Bézier Surfaces and Biharmonic Extremal Surfaces
Given a prescribed boundary of a Bézier surface, we compare the Bézier surfaces generated by two different methods, i.e., the Bézier surface minimising the biharmonic functional and the unique Bézier surface solution of the biharmonic equation with prescribed boundary. Although often the two types of surfaces look visually the same, we show that they are indeed different. In this paper, we prov...
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We present a new method of surface generation from prescribed boundaries based on the elliptic partial differential operators. In particular, we focus on the study of the so-called harmonic and biharmonic Bézier surfaces. The main result we report here is that any biharmonic Bézier surface is fully determined by the boundary control points. We compare the new method, by way of practical example...
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and Applied Analysis 3 2.5. Laguerre Surface. LetΦ be a Laguerre surface inR. Any regular pointP onΦ is thus represented as in (16). Denote the corresponding isotropic surface by Φ with P given by (16). By duality, their corresponding curvatures are related by H ∗ = H K , K ∗ = 1 K . (17) Blaschke [6] defined the middle tangent sphere to be the tangent to the tangent plane P with radius
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The computation of curvature quantities over discrete geometry is often required when processing geometry composed of meshes. Curvature information is often important for the purpose of shape analysis, feature recognition and geometry segmentation. In this paper we present a method for accurate estimation of curvature on discrete geometry especially those composed of meshes. We utilise a method...
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2009
ISSN: 1340-6116,1883-2032
DOI: 10.2206/kyushujm.63.339