A discrete representation for … Expand. Interactive Design of Developable Surfaces. Mathematics, Computer Science. ACM Trans. In this paper we review masterpieces of curved crease folding, the deployed design methods and geometric studies regarding this special kind of paper folding.
Our goal is to make this work and its … Expand. Highly Influenced. View 14 excerpts, cites background. Geometry and Interactive Design of Curved Creases. This thesis discusses curved creases from a theoretic and an applied point of view: On the one hand, we utilize differential geometry to describe curved creases between developable surfaces by five … Expand. View 1 excerpt, cites methods. We propose a computational model for interpreting line drawings as threedimensional surfaces, based on constraints on local surface orientation along extremal and discontinuity boundaries.
Specific … Expand. View 1 excerpt, cites background. On mathematical folding of curved crease origami: Sliding developables and parametrizations of folds into cylinders and cones. Physics, Computer Science. Aided Des. Computer Science, Mathematics. Based on the art of curved crease origami, we give an example of the construction of a family of shapes from mathematically ideal paper that consists of cylinders and cones and reassembles the … Expand.
Serious putty: topological design for variational curves and surfaces. In this work we develop a new approach to designing curves and free-form surfaces on a computer.
It is inspired by a style of pencil-and-paper design used for sculptured surfaces, in which the … Expand. Geometry and the Imagination. The simplest curves and surfaces Regular systems of points Projective configurations Differential geometry Kinematics Topology Index.
Pattern classification and scene analysis. A Wiley-Interscience publication. View 1 excerpt, references background. The psychology of computer vision.
Abstract This paper presents fundamental results about how zero-curvature paper surfaces behave near creases and apices of cones. These entities are natural generalizations of the edges and vertices of piecewise-planar surfaces. Consequently, paper surfaces may furnish a richer and yet still tractable class of surfaces for computer-aided design and computer graphics applications than do polyhedral surfaces.
Authors Close. Assign yourself or invite other person as author. It allow to create list of users contirbution. Assignment does not change access privileges to resource content. Wrong email address. You're going to remove this assignment. Are you sure? Yes No. Department of Information Sciences, University of California. Keywords Computer-aided design, computer graphics, developable surfaces, Gaussian curvature, scene analysis.
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