SpiralNet++: A Fast and Highly Efficient Mesh Convolution Operator
This addresses the need for efficient 3D mesh processing in computer vision and graphics, offering a novel approach that improves performance and speed over existing methods.
The paper tackles the problem of analyzing 3D shape meshes by introducing a fast and efficient intrinsic mesh convolution operator that avoids complex kernel designs, and shows it significantly outperforms state-of-the-art methods in tasks like dense shape correspondence and 3D shape reconstruction while being faster.
Intrinsic graph convolution operators with differentiable kernel functions play a crucial role in analyzing 3D shape meshes. In this paper, we present a fast and efficient intrinsic mesh convolution operator that does not rely on the intricate design of kernel function. We explicitly formulate the order of aggregating neighboring vertices, instead of learning weights between nodes, and then a fully connected layer follows to fuse local geometric structure information with vertex features. We provide extensive evidence showing that models based on this convolution operator are easier to train, and can efficiently learn invariant shape features. Specifically, we evaluate our method on three different types of tasks of dense shape correspondence, 3D facial expression classification, and 3D shape reconstruction, and show that it significantly outperforms state-of-the-art approaches while being significantly faster, without relying on shape descriptors. Our source code is available on GitHub.