Positional, Metric, and Curvature Control for Constraint-Based Surface Deformation
نویسندگان
چکیده
منابع مشابه
Positional, Metric, and Curvature Control for Constraint-Based Surface Deformation
We present a geometry processing framework that allows direct manipulation or preservation of positional, metric, and curvature constraints anywhere on the surface of a geometric model. Target values for these properties can be specified point-wise or as integrated quantities over curves and surface patches embedded in the shape. For example, the user can draw several curves on the surface and ...
متن کاملConformal Deformation of a Riemannian Metric to Constant Scalar Curvature
A well-known open question in differential geometry is the question of whether a given compact Riemannian manifold is necessarily conformally equivalent to one of constant scalar curvature. This problem is known as the Yamabe problem because it was formulated by Yamabe [8] in 1960, While Yamabe's paper claimed to solve the problem in the affirmative, it was found by N. Trudinger [6] in 1968 tha...
متن کاملA Metric for Positional Games
We deene an extended real-valued metric, , for positional games and prove that this class of games is a topological semigroup. We then show that two games are nitely separated ii they are path-connected and ii two closely related Conway games are equivalent. If two games are at a nite distance then this distance is bounded by the maximum diierence of any two atoms found in the games. We may imp...
متن کاملCurvature and Continuity Control in Particle-Based Surface Models
This paper develops techniques to locally control curvature and continuity in particle-based surface models. Such models are a generalization of traditional spline surfaces built out of triangular patches. Traditional splines require the topology of the triangular mesh to be specified ahead of time. In contrast, particle-based surface models compute the topology dynamically as a function of the...
متن کاملGenetic control of surface curvature.
Although curvature of biological surfaces has been considered from mathematical and biophysical perspectives, its molecular and developmental basis is unclear. We have studied the cin mutant of Antirrhinum, which has crinkly rather than flat leaves. Leaves of cin display excess growth in marginal regions, resulting in a gradual introduction of negative curvature during development. This reflect...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computer Graphics Forum
سال: 2009
ISSN: 0167-7055,1467-8659
DOI: 10.1111/j.1467-8659.2009.01395.x