Environment mapping and other applications of world projections
IEEE Computer Graphics and Applications
Computing Minimal Distances on Polyhedral Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Numerical Solution to the Generalized Mapmaker's Problem: Flattening Nonconvex Polyhedral Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Piecewise surface flattening for non-distorted texture mapping
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Applied numerical linear algebra
Applied numerical linear algebra
Non-distorted texture mapping for sheared triangulated meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Size preserving pattern mapping
Proceedings of the conference on Visualization '98
Pattern-based texturing revisited
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Texture and reflection in computer generated images
Communications of the ACM
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)
Bounded-distortion piecewise mesh parameterization
Proceedings of the conference on Visualization '02
Computational Surface Flattening: A Voxel-Based Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
3D mesh compression using fixed spectral bases
GRIN'01 No description on Graphics interface 2001
Graphical Models - Special issue on SMI 2002
Visual Tracking Using Active Appearance Models
CRV '04 Proceedings of the 1st Canadian Conference on Computer and Robot Vision
Lifting curve parameterization methods to isosurfaces
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
Big-bang simulation for embedding network distances in Euclidean space
IEEE/ACM Transactions on Networking (TON)
Iso-charts: stretch-driven mesh parameterization using spectral analysis
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Three-Dimensional Face Recognition
International Journal of Computer Vision
Greedy optimal homotopy and homology generators
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Fast exact and approximate geodesics on meshes
ACM SIGGRAPH 2005 Papers
Planar development of free-form surfaces: quality evaluation and visual inspection
Computing - Geometric modelling dagstuhl 2002
Distance Preserving Flattening of Surface Sections
IEEE Transactions on Visualization and Computer Graphics
Geodesic Remeshing Using Front Propagation
International Journal of Computer Vision
Creating entirely textured 3D models of real objects using surface flattening
Machine Graphics & Vision International Journal
Geometric modeling based on triangle meshes
ACM SIGGRAPH 2006 Courses
Geometric curve flows on parametric manifolds
Journal of Computational Physics
Surface parameterization via aligning optimal local flattening
Proceedings of the 2007 ACM symposium on Solid and physical modeling
TopoLayout: Multilevel Graph Layout by Topological Features
IEEE Transactions on Visualization and Computer Graphics
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Computing Length-Preserved Free Boundary for Quasi-Developable Mesh Segmentation
IEEE Transactions on Visualization and Computer Graphics
Efficiently determining a locally exact shortest path on polyhedral surfaces
Computer-Aided Design
Quasi-isometric parameterization for texture mapping
Pattern Recognition
Quasi-isometric parameterization for texture mapping
Pattern Recognition
WireWarping: A fast surface flattening approach with length-preserved feature curves
Computer-Aided Design
Texture mapping on 3D surfaces using clustering-based cutting paths
International Journal of Computational Science and Engineering
Unwrap mosaics: a new representation for video editing
ACM SIGGRAPH 2008 papers
Differentials-based segmentation and parameterization for point-sampled surfaces
Journal of Computer Science and Technology
Parallel algorithms for approximation of distance maps on parametric surfaces
ACM Transactions on Graphics (TOG)
Image-based texture replacement using multiview images
Proceedings of the 2008 ACM symposium on Virtual reality software and technology
Topology-Invariant Similarity of Nonrigid Shapes
International Journal of Computer Vision
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
Improving Chen and Han's algorithm on the discrete geodesic problem
ACM Transactions on Graphics (TOG)
Matchmaking for online games and other latency-sensitive P2P systems
Proceedings of the ACM SIGCOMM 2009 conference on Data communication
Lifting curve parameterization methods to isosurfaces
Computer Aided Geometric Design
ACM SIGGRAPH ASIA 2009 Courses
Spectral conformal parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
A local/global approach to mesh parameterization
SGP '08 Proceedings of the Symposium on Geometry Processing
Expression-invariant 3D face recognition
AVBPA'03 Proceedings of the 4th international conference on Audio- and video-based biometric person authentication
Nonlinear Dimensionality Reduction by Topologically Constrained Isometric Embedding
International Journal of Computer Vision
International Journal of Computer Vision
Local resampling for patch-based texture synthesis in vector fields
International Journal of Computer Applications in Technology
ACM SIGGRAPH 2010 Courses
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Intrinsic regularity detection in 3D geometry
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Elements of geometry processing
SIGGRAPH Asia 2011 Courses
3D triangular mesh parametrization using locally linear embedding
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Data fusion for photorealistic 3d models
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Facetoface: an isometric model for facial animation
AMDO'06 Proceedings of the 4th international conference on Articulated Motion and Deformable Objects
Sub-sampling for efficient spectral mesh processing
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Robust expression-invariant face recognition from partially missing data
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Evaluation of 3d face recognition using registration and PCA
AVBPA'05 Proceedings of the 5th international conference on Audio- and Video-Based Biometric Person Authentication
Feature-Constrained texturing system for 3d models
KES'05 Proceedings of the 9th international conference on Knowledge-Based Intelligent Information and Engineering Systems - Volume Part III
Locally linear isometric parameterization
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Texture mapping via spherical multi-dimensional scaling
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Isometric embedding of facial surfaces into S3
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Hierarchical matching of non-rigid shapes
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Approximating geodesics on point set surfaces
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Surface- and volume-based techniques for shape modeling and analysis
SIGGRAPH Asia 2013 Courses
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We present a novel technique for texture mapping on arbitrary surfaces with minimal distortions by preserving the local and global structure of the texture. The recent introduction of the fast marching method on triangulated surfaces made it possible to compute a geodesic distance map from a given surface point in O( n \lg n) operations, where n is the number of triangles that represent the surface. We use this method to design a surface flattening approach based on multidimensional scaling (MDS). MDS is a family of methods that map a set of points into a finite dimensional flat (Euclidean) domain, where the only given data is the corresponding distances between every pair of points. The MDS mapping yields minimal changes of the distances between the corresponding points. We then solve an inverse problem and map a flat texture patch onto the curved surface while preserving the structure of the texture.