Speaker：Chongyang Deng（Hangzhou Dianzi University）

Time：2021-11-24 08:30

Location：Tencent Meeting ID：308 156 636（No Password）

Conference Room 106 at Experiment Building at Haiyun Campus

Abstract:

Generalized barycentric coordinates are widely used to represent a point inside a polygon as an affine combination of the polygon’s vertices. This report introduces iterative coordinates-a new generalized barycentric coordinate based on polishing transformation on a polygon. The main idea of iterative coordinates is to project the polygon onto the unit circle around a given point and then iteratively apply midpoint averaging plus rescaling to the vertices of the resulting cyclic polygon. Finally, the iterative coordinates can be obtained by the regular polygon. Iterative coordinates are guaranteed to be non-negative and smooth.