Dear all / Bonjour à tous,

We are happy to invite you to the Predoc III evaluation of Cedric Martens on december 5th at 10 am (hybrid mode).

Vous êtes tous et toutes cordialement invité.es à assister à la présentation de projet du prédoc III de Cedric Martens, le 5 decembre à 10h00 (mode hybride).

Titre: Shape Analysis of Imperfect Geometry

Date: December 5th, 10 am

Location: AA3195 et Zoom (lien ci-dessous)

Link: https://umontreal.zoom.us/j/4750838017?pwd=RkZiVGFCK0pySCsxcVFzcDFjNE9hQT09

Jury

Abstract

Modern geometric data comes from different sources: 3D scans, user-generated meshes, sketch-based interfaces, Computer-Aided-Design (CAD) software, and more recently, data-driven generative models. These sources produce shapes that people want to render, edit, analyze, and use in simulations. Unfortunately, the geometric data produced by these pipelines is rarely clean. These models may have defects such as inconsistent face orientation, self-intersections, or non-manifold features, making them difficult to process. These imperfections threaten the mathematical underpinning of many algorithms in rendering and geometry processing. When clean geometry assumptions are violated, inside-outside tests are inconsistent, shading computations are riddled with artifacts, surface parametrizations become difficult, and simulations are unstable.

To address these challenges, I propose a series of projects that make existing algorithms robust to geometric input or introduce new ones designed to deal with imperfect geometry. First, I introduce a boundary formulation for computing Generalized Winding Numbers (GWN) that extends its theoretical understanding. Second, I present a high-performance GPU-friendly algorithm for computing GWNs. Finally, I aim to recover geometric information from sketches via differentiable occluding contours, in a setting where sketch strokes can be messy and ambiguous.