Affine Invariant Watermarking Based on SURF and Barycentric Coordinates

Barycentric Coordinates on Surfaces

This paper introduces a method for defining and efficiently computing barycentric coordinates with respect to polygons on general surfaces. Our construction is geared towards injective polygons (polygons that can be enclosed in a metric ball of an appropriate size) and is based on replacing the linear precision property of planar coordinates by a requirement in terms of center of mass, and gene...

On pseudo-harmonic barycentric coordinates

Article history: Received 4 November 2015 Received in revised form 21 April 2016 Accepted 23 April 2016 Available online xxxx

Blended barycentric coordinates

Generalized barycentric coordinates are widely used to represent a point inside a polygon as an affine combination of the polygon’s vertices, and it is desirable to have coordinates that are non-negative, smooth, and locally supported. Unfortunately, the existing coordinate functions that satisfy all these properties do not have a simple analytic expression, making them expensive to evaluate an...

Circles in barycentric coordinates

Let ABC be a fundamental triangle with the area . For a circle K the powers of vertices A, B, C with regard to K divided by 2 are said to be the barycentric coordinates of K with respect to triangle ABC. This paper gives some theory and applications of these coordinates.

Generalized barycentric coordinates