Corrected Curvature Measures

A Curvature-Corrected Low-Voltage Bandgap Reference

A new curvature-corrected bandgap reference is presented which is able to function at supply voltages as low as 1 V, at a supply current of only 100 PA. After trimming this bandgap reference has a temperature coefficient (TC) of +4 ppm/OC. The reference voltage is about 200 mV and it can simply be adjusted to higher reference voltages, The temperature range of this circuit is from O to 125” C. ...

Superior-order Curvature-corrected Programmable Voltage References

Two new voltage references will be presented, having the goals of low-power low-voltage operation and of an extreme temperature coefficient, respectively. The first circuit was based on the compensation of the nonlinear temperature dependence of the gate-source voltage for a subthreshold operated MOS transistor by a correction current obtained by taking the difference between two gate-source vo...

Curvature measures and fractals

Curvature measures and fractals

Curvature measures are an important tool in geometric measure theory and other fields of mathematics for describing the geometry of sets in Euclidean space. But the ‘classical’ concepts of curvature are not directly applicable to fractal sets. We try to bridge this gap between geometric measure theory and fractal geometry by introducing a notion of curvature for fractals. For compact sets F ⊆ R...

Stability of Curvature Measures

We address the problem of curvature estimation from sampled compact sets. The main contribution is a stability result: we show that the gaussian, mean or anisotropic curvature measures of the offset of a compact set K with positive μ-reach can be estimated by the same curvature measures of the offset of a compact set K’ close to K in the Hausdorff sense. We show how these curvature measures can...