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MATHEMATICAL REPRESENTATION ON THE HUMAN ARTICULAR SURFACES WITH APPLICATION OF THE THIN PLATE THEORY

Biomedical Engineering: Applications, Basis and Communications, 2002
In this paper, a new technique is developed for representing 3-D articular surface, which is based on an analogy method with application of the thin plate theory in the solid mechanics. The method is suitable to represent the scattered data points. On the other word, it does not involve the surface patches and measuring preparation in experimentally ...
Xishi Wang, Li Qun Zhang
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Spin geometry

Graduate Studies in Mathematics, 2019
These are the notes accompanying the lectures on Spin Geometry, a PG course taught in Edinburgh in the Spring of 2010. The only requirement is a working familiarity with basic differential geometry and basic representation theory; although scholia on the
jr H. Blaine Lawson, M. Michelsohn
semanticscholar   +1 more source

Knowledge Representation in Mathematics a Case Study in Graph Theory

1983
In this dissertation we present our work on representational languages for graph theory. We have shown that a knowledge representation can be structured to provide both expressive and procedural power. Our major research contributions are three. First we have defined representations of infinite sets and recommended that mathematical concepts be ...
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Application of Mathematics in the Representation of Images: From Geometry to Set Theory

2016
Mathematics has long been applied to images, especially in a number of ways that rely on categorizing visible properties not just geometrically, that is, spatially, but also algebraically or quantitatively. In Part 1 I have discussed how fuzzy set theory has been applied to the empirical (Zadeh) and conceptual (Smith) understanding of linguistic ...
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Representation Theory and Mathematical Physics

2011
Siddhartha Sahi   +2 more
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