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Get 3D shape by representing implicit geometry and radiance fields as points with Chen

Get 3D shape by representing implicit geometry and radiance fields as points with Chen


3D Reconstruction with Fast Dipole Sums



... introduce ... reconstruction of high-fidelity surfaces from multi-view images ... uses a new point-based representation, the dipole sum, which generalizes the winding number to allow for interpolation of arbitrary per-point attributes in point clouds with noisy or outlier points.


Using dipole sums allows us to represent implicit geometry and radiance fields as per-point attributes of a point cloud, which ... initialize directly from structure from motion.


... additionally derive Barnes-Hut fast summation schemes for accelerated forward and reverse-mode dipole sum queries.


... queries facilitate ... ray tracing to ... render images with ... point-based representations, and ... update their point attributes to optimize scene geometry and appearance.


... evaluate this inverse rendering ... against state-of-the-art alternatives, based on ray tracing of neural representations or rasterization of Gaussian point-based representations.


... technique significantly improves reconstruction quality at equal runtimes, while also supporting more general rendering techniques such as shadow rays for direct illumination ...



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