In Generalized Barycentric Coordinates in Computer Graphics and Computational
Mechanics, eminent computer graphics and computational mechanics researchers provide …

This paper presents a practical and general approach for computing barycentric coordinates
through stochastic sampling. Our key insight is a reformulation of the kernel integral defining …

Any point inside ad‐dimensional simplex can be expressed in a unique way as a convex
combination of the simplex's vertices, and the coefficients of this combination are called the …

Space deformations deform the ambient space and thus implicitly deform the embedded
objects. Free-Form Deformation allows high-order deformation to the embedding space, yet …

A new multi-sided, control point based surface representation is introduced, based on the
Generalized Bézier patch [1]. While the original surface is based on convex polygonal …

In this paper, we present a novel cage deformer based on elasticity-derived matrix-valued
coordinates. In order to bypass the typical shearing artifacts and lack of volume control of …

Space coordinates offer an elegant, scalable and versatile framework to propagate (multi-)
scalar functions from the boundary vertices of a 3-manifold, often called a cage, within its …

Barycentric coordinates provide a simple way of expressing the linear interpolant to data
given at the vertices of a triangle and have numerous applications in computer graphics and …

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 …

Interactive deformation via control handles is essential in computer graphics for the
modeling of 3D geometry. Deformation control structures include lattices for free‐form …