P-capacity vs surface-area

On the p-affine surface area

Inequalities for mixed p - affine surface area ∗

We prove new Alexandrov-Fenchel type inequalities and new affine isoperimetric inequalities for mixed p-affine surface areas. We introduce a new class of bodies, the illumination surface bodies, and establish some of their properties. We show, for instance, that they are not necessarily convex. We give geometric interpretations of Lp affine surface areas, mixed p-affine surface areas and other ...

Introducing Capacity Surface to Estimate Watermarking Capacity

One of the most important parameters in evaluating a watermarking algorithm is its capacity. Generally, watermarking capacity is expressed by bits per pixel (bpp) unit measure. But this measure does not show what the side effects would be on image quality, watermark robustness and capacity. In this paper we propose a three dimensional measure named Capacity surface which shows the effects of ca...

Estimation of body surface area: nomogram vs. mathematical equations.

Body surface area (BSA) has been used in clinical practice to determine dosage of medication and in standardisation of biological parameters such as creatinine clearance, cardiac out put etc. BSA is estimated from measured height and weight, either with a nomogram or using a mathematical equation. There are many mathematical equations in the published literature but many are complex and may not...

SURFACE AREA AND CAPACITY OF ELLIPSOIDS IN n DIMENSIONS

The surface area of a general n-dimensional ellipsoid is represented as an Abelian integral, which can readily be evaluated numerically. If there are only 2 values for the semi-axes then the area is expressed as an elliptic integral, which reduces in most cases to elementary functions. The capacity of a general n-dimensional ellipsoid is represented as a hyperelliptic integral, which can readil...