What Can We Measure?

Bibliographic Details
Title: What Can We Measure?
Authors: Bobenko, Alexander I., Sullivan, John M., Ziegler, Günter M., Schröder, Peter
Source: Discrete Differential Geometry; 2008, p263-273, 11p
Abstract: In this chapter we approach the question of " what is measurable" from an abstract point of view using ideas from geometric measure theory. As it turns out such a first-principles approach gives us quantities such as mean and Gaussian curvature integrals in the discrete setting and more generally, fully characterizes a certain class of possible measures. Consequently one can characterize all possible " sensible" measurements in the discrete setting which may form, for example, the basis for physical simulation. [ABSTRACT FROM AUTHOR]
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DOI: 10.1007/978-3-7643-8621-4_14
Database: Complementary Index