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.
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© 2008 Birkhäuser Verlag Basel/Switzerland
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Schröder, P. (2008). What Can We Measure?. In: Bobenko, A.I., Sullivan, J.M., Schröder, P., Ziegler, G.M. (eds) Discrete Differential Geometry. Oberwolfach Seminars, vol 38. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8621-4_14
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DOI: https://doi.org/10.1007/978-3-7643-8621-4_14
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-8620-7
Online ISBN: 978-3-7643-8621-4
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