Polynomial 2d Green Coordinates For Polygonal Cages Siggraph 23

Figure 2 From Polynomial 2D Green Coordinates For Polygonal Cages | Semantic Scholar

Figure 2 From Polynomial 2D Green Coordinates For Polygonal Cages | Semantic Scholar We introduce conformal polynomial coordinates for closed polyhedral cages, enabling segments to be transformed into polynomial curves of any order. extending classical 2d green coordinates, our coordinates result in conformal harmonic deformations that are cage aware. This is the accompanying video of the research paper "polynomial 2d green coordinates for polygonal cages" published by elie michel and jean marc thiery at siggraph '23.

Figure 2 From Polynomial 2D Green Coordinates For Polygonal Cages | Semantic Scholar

Figure 2 From Polynomial 2D Green Coordinates For Polygonal Cages | Semantic Scholar We introduce conformal polynomial coordinates for closed polyhedral cages, enabling segments to be transformed into polynomial curves of any order. extending classical 2d green coordinates, our coordinates result in conformal harmonic deformations that are cage aware. In this paper, we propose conformal polynomial coordinates for 2d closed high order cages. the coordinates can deform input polynomial curves to polynomial curves of any order. we extend classical 2d green coordinates to high order cages and derive the feasible closed form expressions. We present closed form expressions for green and biharmonic coordinates with respect to polynomial curved 2d cages, enabling reliable cage based image deformation both to and from a curved cage. This paper introduces positive mean value coordinates (pmvc) for mesh deformation, and shows how the pmvc integral can be efficiently computed with graphics hardware.

Figure 6 From Polynomial 2D Green Coordinates For Polygonal Cages | Semantic Scholar

Figure 6 From Polynomial 2D Green Coordinates For Polygonal Cages | Semantic Scholar We present closed form expressions for green and biharmonic coordinates with respect to polynomial curved 2d cages, enabling reliable cage based image deformation both to and from a curved cage. This paper introduces positive mean value coordinates (pmvc) for mesh deformation, and shows how the pmvc integral can be efficiently computed with graphics hardware. We propose conformal polynomial coordinates for 2d closed high order cages, which consist of polynomial curves of any order. the coordinates enable the transformation of the input polynomial curves into polynomial curves of any order. This is the source of the public wep page for the research paper polynomial 2d green coordinates for polygonal cages published at siggraph 2023. We introduce conformal polynomial coordinates for closed polyhedral cages, enabling segments to be transformed into polynomial curves of any order. extending classical 2d green coordinates, our coordinates result in conformal harmonic deformations that are cage aware.

Polynomial 2D Green Coordinates for Polygonal Cages - SIGGRAPH '23