אירועים והרצאות בפקולטה למדעי המחשב ע"ש הנרי ומרילין טאוב

Mesh realization focuses on developing algorithms for fabricating digital curved shapes in the real world. The goal is to derive a framework for realizing 3D shapes using various materials — such as wood, paper, or yarn — while keeping the process as automatic as possible and still allowing the user to make design choices. Material properties (i.e., their possible local deformations) guide the mathematical formulation of the underlying optimization problems.

We focus on two central methods. First, we introduce a technique for computing planar hexagonal meshes, an approach particularly useful in architectural contexts where components must be cut from flat materials. Second, we present an automatic algorithm for generating viable crochet instructions directly from 3D models. We describe the mathematical formulations and optimization strategies, including the constraints and objectives, that are used to achieve the desired results.

Beyond these fabrication-focused approaches, we also develop additional mesh processing techniques needed to support them. These include a general framework for computing regularized geodesic distances and an efficient optimization algorithm capable of handling various regularizers, which can be used to improve shape quality in the realization process. These methods serve as a toolkit for both mesh processing and physical fabrication.