A graphics-processing unit is used to perform mesh simplification. A vertex shader receives a dataset for an input mesh that portrays a three-dimensional graphics object. The vertex shader generates from the dataset vertices for primitives that make up the input mesh. The input mesh is divided into a grid of cells. A geometry shader receives the vertices from the vertex shader and generates from the received vertices a simplified mesh that portrays the three-dimensional graphics object in less detail than the input mesh. Before the input mesh is divided into grid cells, a warping function can be applied to the input mesh based on a weighting function to warp the input mesh, thereby increasing sampling at a region of interest. A projective warping can be performed on the grid to produce grid cells of different volumes in accordance with a camera position.