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HCMU Surfaces and Weingarten Surfaces

The Journal of Geometric Analysis, 2022
A non-contant sectional curvature extremal Kähler metric with finite singularities on a compact Riemann surface is often called HCMU metric (the Hessian of the Curvature of the Metric is Umbilical). \textit{C.-K. Peng} and \textit{Y. Wu} [Result. Math. 75, No. 4, Paper No. 133, 10 p.
Zhiqiang Wei, Yingyi Wu
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Surfaces defined on surfaces

Computer Aided Geometric Design, 1990
The authors present two methods for constructing functions, defined over convex surfaces, interpolating data values at scattered points on the surfaces. These are local methods. The first one is basically an extension of the 3D Shepard's method that restrict the domain to a convex surface. The second one consists in an extension of the triangular-based
Robert E. Barnhill, H. S. Ou
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Surface/surface intersection

Computer Aided Geometric Design, 1987
An adaptive surface/surface intersection algorithm is developed for rectangular parametric C 1 patches, each defined over a unit square. The algorithm is general (does not depend on particular surface type) and proceeds in two distinct stages: the first is to find one point on some intersection curve (using adaptive triangular mesh generation and ...
Robert E. Barnhill   +3 more
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A tracing algorithm for surface-surface intersections on surface boundaries

Journal of Computer Science and Technology, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kyu-Yeul Lee, Doo-Yeoun Cho, Tae Wan Kim
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Surface diffusion on a stepped surface

Physical Review B, 1993
Surface diffusion of an adatom on a vicinal surface is investigated, using site-dependent hopping rates based on a model surface-potential profile of a regularly stepped surface. We solved analytically the coupled rate equations for the occupation probability of an adatom at a sufficiently long time, in analogy to the tight-binding theory of electronic
, Natori, , Godby
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Bonnet Surfaces and Isothermic Surfaces

Results in Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Weihuan, Li, Haizhong
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Bezier surface/surface intersection

IEEE Computer Graphics and Applications, 1990
The computational requirements and accuracy of two methods for finding the intersection of Bezier surfaces are examined. In both methods, the existence of an intersection curve is confirmed by using the convex hull property of such surfaces. The first method evaluates the intersection by recursive subdivision of two patches with overlapping hulls.
Nadim M. Aziz, Reda Bata, Sudarshan Bhat
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A computational model for nonrational bisector surfaces: curve-surface and surface-surface bisectors

Proceedings Geometric Modeling and Processing 2000. Theory and Applications, 2000
The bisector of two rational surfaces in R/sup 3/ is, in general, nonrational; and so is the bisector of a rational curve and a rational surface. Thus, bisector surfaces in these two cases must be approximated numerically. Unfortunately, they are algebraic surfaces of very high degree and numerical approximation is non-trivial.
Gershon Elber, Myung-Soo Kim
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Patient's Surface, Clinical Surface, and Workable Surface

Journal of the American Psychoanalytic Association, 1991
Surface is a term often used in clinical theory, which seems to have eluded a reliable definition. Freud used the term mostly to denote the analysand's consciousness. This patient's surface does not always coincide with the data the analyst can observe, i.e., the clinical surface.
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Reduced curvature formulae for surfaces, offset surfaces, curves on a surface and surface intersections

Computer Aided Geometric Design, 2015
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Spiros G. Papaioannou   +1 more
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