May 07

Add to Calendar 2025-05-07 11:00:00 2025-05-07 12:00:00 America/New_York Using distance fields to represent and render shape Distance fields have advantages over classic graphical shape representations such as meshes and point clouds for pervasive graphics problems such as shape construction, collision detection, and anti-aliasing. I will describe distance field-based applications that we built over the years for 3D sculpting, font rendering, digital drawing, CNC milling simulation, and more recent work in medical image processing. I will focus on innovations that were required to address size, speed, and accuracy in these systems, share some stories about commercialization, and describe new research directions. TBD

April 09

Add to Calendar 2025-04-09 11:00:00 2025-04-09 12:00:00 America/New_York SDF Geometry Processing The historical focus of the Computer Graphics research community has had a deep influence on the representations chosen to store and process geometric information. Beyond the classical explicit formats like meshes and point clouds; in this talk, I will argue that Signed Distance Functions (SDFs) are a preferable representation for many tasks in engineering, robotics and machine learning. I will review recent work on reconstructing surfaces from SDFs and share an exciting vision for a future of geometric deep learning that exploits all the geometric information contained in each SDF sample. TBD

November 21

Add to Calendar 2024-11-21 11:00:00 2024-11-21 12:00:00 America/New_York Geometric Algebra Planes: Convex Implicit Neural Volumes Volume parameterizations abound in recent literature, from the classic voxel grid to the implicit neural representation and everything in between. While implicit representations have shown impressive capacity and better memory efficiency compared to voxel grids, to date they require training via nonconvex optimization. This nonconvex training process can be slow to converge and sensitive to initialization and hyperparameter choices that affect the final converged result. We introduce a family of models, GA-Planes, that is the first class of implicit neural volume representations that can be trained by convex optimization. GA-Planes models include any combination of features stored in tensor basis elements, fol- lowed by a neural feature decoder. They generalize many existing representations and can be adapted for convex, semiconvex, or nonconvex training as needed for different inverse problems. In the 2D setting with a linear feature decoder, we prove that GA-Planes is equivalent to a low-rank plus low-resolution matrix factorization; we show that this approximation outperforms the classic low-rank plus sparse decomposition for fitting a natural image. In 3D, we demonstrate GA-Planes’ competitive performance in terms of expressiveness, model size, and optimizability across three volume fitting tasks: radiance field reconstruction, 3D segmentation, and video segmentation. 32-D507

October 24

Add to Calendar 2024-10-24 11:00:00 2024-10-24 12:00:00 America/New_York Fetal MRI: motion correction, advanced modalities and clinical applications Fetal MRI enables visualisation of developing fetal brain and organs, and it is increasingly used in both research and clinical practice. However, fetal motion and maternal breathing present challenges for acquisition and processing of fetal MRI data, which cannot be addressed by standard tools for adult or neonatal populations. This talk will describe dedicated correction techniques specifically suited for reconstructing artefact-free fetal MRI, including structural and diffusion imaging of the brain, and imaging of moving fetal heart. First, we will introduce the key concepts of correction of rigid and deformable motion, and super-resolution reconstruction of fetal structural MRI. Next, registration-based distortion correction will be introduced to correct geometric distortion present in echo-planar imaging used for acquisition of diffusion data, and super-resolution technique will be extended to reconstruct high angular resolution diffusion imaging (HARDI) of fetal brain. Finally, we will describe motion correction and super-resolution reconstruction technique to reconstruct images of moving fetal heart. For each of these modalities we will showcase example clinical applications and preliminary findings. 32-D451