The Gaussian Peak family of functions is quickly integrated analytically, to high precision. In its two-dimensional form, as shown in the plot above, the function shows a distinct two-dimensional ...

Abstract: Methods based on 3D Gaussian Splatting (3DGS) for surface reconstruction face challenges when applied to large-scale scenes captured by Unmanned Aerial Vehicle (UAV). Because the number of ...

While Gaussian Splatting (GS) demonstrates efficient and high-quality scene rendering and small area surface extraction ability, it falls short in handling large-scale aerial image surface extraction ...

a theoretical model is used to investigate the geometrical self-shadowing of a surface described by Gaussian statistics. Expressions are derived for various shadowing probabilities as functions of the ...

3D Gaussian splatting models can produce a blurred or needle-like effect near the surface. At the same time, 3D Gaussian splatting models tend to flatten large untextured regions, yielding a very ...