On shortest paths in polyhedral spaces
SIAM Journal on Computing
Shortest paths on polyhedral surfaces
Proceedings on STACS 85 2nd annual symposium on theoretical aspects of computer science
On shortest paths amidst convex polyhedra
SIAM Journal on Computing
SIAM Journal on Computing
Computing Minimal Distances on Polyhedral Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing Minimal Distances on Polyhedral Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Texture Mapping Using Surface Flattening via Multidimensional Scaling
IEEE Transactions on Visualization and Computer Graphics
Computational Surface Flattening: A Voxel-Based Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computational Surface Flattening: A Voxel-Based Approach
IWVF-4 Proceedings of the 4th International Workshop on Visual Form
3D brain surface matching based on geodesics and local geometry
Computer Vision and Image Understanding - Special issue on nonrigid image registration
Three-Dimensional Face Recognition
International Journal of Computer Vision
Planar development of free-form surfaces: quality evaluation and visual inspection
Computing - Geometric modelling dagstuhl 2002
Representation Analysis and Synthesis of Lip Images Using Dimensionality Reduction
International Journal of Computer Vision
TopoLayout: Multilevel Graph Layout by Topological Features
IEEE Transactions on Visualization and Computer Graphics
Conformal Slit Mapping and Its Applications to Brain Surface Parameterization
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
Topology-Invariant Similarity of Nonrigid Shapes
International Journal of Computer Vision
Mesh parameterization: theory and practice
ACM SIGGRAPH ASIA 2008 courses
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
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Brain surface parameterization using riemann surface structure
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Brain surface conformal parameterization with algebraic functions
MICCAI'06 Proceedings of the 9th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part II
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
Equi-affine invariant geometries of articulated objects
Proceedings of the 15th international conference on Theoretical Foundations of Computer Vision: outdoor and large-scale real-world scene analysis
Teichmüller Shape Descriptor and Its Application to Alzheimer's Disease Study
International Journal of Computer Vision
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Methods are described to unfold and flatten the curved, convoluted surfaces of the brain in order to study the functional architectures and neural maps embedded in them. In order to do this, it is necessary to solve the general mapmaker's problem for representing curved surfaces by planar models. This algorithm has applications in areas other than computer-aided neuroanatomy, such as robotics motion planning and geophysics. The algorithm maximizes the goodness of fit distances in these surfaces to distances in a planar configuration of points. It is illustrated with a flattening of monkey visual cortex, which is an extremely complex folded surface. Distance errors in the range of several percent are found, with isolated regions of larger error, for the class of cortical surfaces studied so far.