Tootfinder

PhotonSplat: 3D Scene Reconstruction and Colorization from SPAD Sensors
Sai Sri Teja, Sreevidya Chintalapati, Vinayak Gupta, Mukund Varma T, Haejoon Lee, Aswin Sankaranarayanan, Kaushik Mitra
https://arxiv.org/abs/2506.21680

PhotonSplat: 3D Scene Reconstruction and Colorization from SPAD Sensors
Advances in 3D reconstruction using neural rendering have enabled high-quality 3D capture. However, they often fail when the input imagery is corrupted by motion blur, due to fast motion of the camera or the objects in the scene. This work advances neural rendering techniques in such scenarios by using single-photon avalanche diode (SPAD) arrays, an emerging sensing technology capable of sensing images at extremely high speeds. However, the use of SPADs presents its own set of unique challenges…

Trees with extremal Laplacian eigenvalue multiplicity
Vinayak Gupta, Gargi Lather, R. Balaji
https://arxiv.org/abs/2507.15472 https://

Trees with extremal Laplacian eigenvalue multiplicity
Let $T$ be a tree. Suppose $λ$ is an eigenvalue of the Laplacian matrix of $T$ with multiplicity $m_{T}(λ)$. It is known that $m_{T}(λ) \leq p(T)-1$, where $p(T)$ is the number of pendant vertices of $T$. In this paper, we characterize all trees $T$ for which there exists an eigenvalue $λ$ such that $m_{T}(λ)=p(T)-1$. We show that such trees are precisely either paths, or there exists an integer $q$ such that if $α$ and $β$ are two distinct pendant vertices, then the distance $d(α,β)$ …