Surfaces Foliated by Planar Geodesics: A Model for Curved Wood Design

Year: 2017 Authors: David Brander; Jens Gravesen

Core claim

Planar geodesic foliations provide a mathematically tractable model for designing curved wood-strip surfaces, and all such solutions can be constructed through Monge-surface methods and related closure conditions.

Topics

planar geodesic foliations, curved wood design, Monge surfaces, closed spine curves, Klein bottle

Domains

differential geometry, curve theory, surface parameterization, frame fields, geodesics, wood-strip construction, architectural geometry, furniture design

Methods

minimal rotating frame, ODE-based frame computation, closed curve construction, spline fitting, surface sweeping

Media

wood strips, paper, cardboard, polystyrene foam, heated blade

Source status

This page publishes metadata and extracted analytical signals only. Raw PDF and full OCR text are kept local for now.