Piecewise surface flattening for non-distorted texture mapping
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Interpolation with developable Be´zier patches
Computer Aided Geometric Design
Developable (1, n)-Be´zier surfaces
Computer Aided Geometric Design
Developable rational Be´zier and B-spline surfaces
Computer Aided Geometric Design
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
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The problem of surface flattening is an old and widespread problem. It can be found in cartography and in various industry branches. In cartography, this problem is already solved by various projections. In the industry, however, it is still present. In the article, some existent methods and the problems connected with them are given. We also present the new method based on generation of developable stripes, which can be unrolled without any distortion into the plane. In this way, the problem of overlapping of some parts of resulting flat pattern is eliminated. The overlapping problem is especially hard on the doubly curved surfaces. We show that this problem is successfully solved.