M
Martin Kilian
Researcher at Vienna University of Technology
Publications - 20
Citations - 960
Martin Kilian is an academic researcher from Vienna University of Technology. The author has contributed to research in topics: Curvature & Architectural geometry. The author has an hindex of 12, co-authored 18 publications receiving 852 citations.
Papers
More filters
Proceedings ArticleDOI
Geometric modeling in shape space
TL;DR: In this paper, the authors present a framework to treat shapes in the setting of Riemannian geometry, where shapes are treated as points in a shape space and the shape morphing, shape deformation, deformation transfer, and intuitive shape exploration.
Journal ArticleDOI
Curved folding
TL;DR: This work presents an optimization-based computational framework for design and digital reconstruction of surfaces which can be produced by curved folding, which contributes to applications in architecture and industrial design and provides a new way to study the complex and largely unexplored phenomena arising in curved folding.
Journal ArticleDOI
Paneling architectural freeform surfaces
Michael Eigensatz,Martin Kilian,Alexander Schiftner,Niloy J. Mitra,Helmut Pottmann,Mark Pauly +5 more
TL;DR: This work casts the major practical requirements for architectural surface paneling, including mold reuse, into a global optimization framework that interleaves discrete and continuous optimization steps to minimize production cost while meeting user-specified quality constraints.
Proceedings ArticleDOI
Circular arc structures
TL;DR: This paper proposes so-called circular arc structures as a means to faithfully realize freeform designs without giving up smooth appearance, and presents the first global approximation method for principal patches, and extends volumetric structures for truly three-dimensional designs.
Journal ArticleDOI
Geodesic patterns
Helmut Pottmann,Qixing Huang,Bailin Deng,Alexander Schiftner,Martin Kilian,Leonidas J. Guibas,Johannes Peter Wallner +6 more
TL;DR: In this article, the evolution of geodesic curves is used for local studies and simple patterns; the level set formulation can deal with the global layout of multiple patterns of Geodesics; and finally, Geodesic vector fields allow us to interactively model geodeic patterns and perform surface segmentation into panelizable parts.