Piecewise surface flattening for non-distorted texture mapping
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Approximation algorithms for NP-hard problems
Approximation algorithms for NP-hard problems
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
The algorithm design manual
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Seamless texture mapping of subdivision surfaces by model pelting and texture blending
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Texture mapping progressive meshes
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Meshed atlases for real-time procedural solid texturing
ACM Transactions on Graphics (TOG)
Optimally cutting a surface into a disk
Proceedings of the eighteenth annual symposium on Computational geometry
Smooth surface and triangular mesh: comparison of the area, the normals and the unfolding
Proceedings of the seventh ACM symposium on Solid modeling and applications
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Least squares conformal maps for automatic texture atlas generation
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Smoothing an overlay grid to minimize linear distortion in texture mapping
ACM Transactions on Graphics (TOG)
Signal-specialized parametrization
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Seamster: inconspicuous low-distortion texture seam layout
Proceedings of the conference on Visualization '02
Conformal Surface Parameterization for Texture Mapping
IEEE Transactions on Visualization and Computer Graphics
Texture Mapping Using Surface Flattening via Multidimensional Scaling
IEEE Transactions on Visualization and Computer Graphics
Spanning Tree Seams for Reducing Parameterization Distortion of Triangulated Surfaces
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Affine-Invariant Skeleton of 3D Shapes
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
A direct texture placement and editing interface
UIST '06 Proceedings of the 19th annual ACM symposium on User interface software and technology
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
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A planar parameterization of 3D surfaces is useful for many applications, The applicability of the parameterization depends on how well it preserves the surface geometry (angles, distances, and areas). For most surface meshes there is no parameterization which preserves the geometry exactly. The distortion usually increases with the rise in surface complexity. For highly complicated surfaces the distortion can become so strong as to make the parameterization unusable for application's purposes. A solution is to partition the surface or introduce cuts in a way which will reduce the distortion. This article presents a new method for cutting seams in 3D mesh surfaces. The addition of seams reduces the surface complexity and hence reduces the metric distortion produced by the parameterization. Seams often introduce additional constraints on the application for which the parameterization is used, hence their length should be minimal. The presented method minimizes the seam length while reducing the parameterization distortion to acceptable level.