Spherical parametrization and remeshing
ACM SIGGRAPH 2003 Papers
Fundamentals of spherical parameterization for 3D meshes
ACM SIGGRAPH 2003 Papers
Fast multidimensional scaling through sampling, springs and interpolation
Information Visualization
Practical Spherical Embedding of Manifold Triangle Meshes
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Mesh parameterization methods and their applications
Foundations and Trends® in Computer Graphics and Vision
Numerical Geometry of Non-Rigid Shapes
Numerical Geometry of Non-Rigid Shapes
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
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In the current study we show how texture mapping to the surface of the heart's left ventricle(LV) can be used to demonstrate the ventricle's complex kinematics and highlight impaired regions. The method uses isometric spherical embedding to map a uniform and oriented texture into a reference phase of the LV's mesh. The texture, attached to the deformed mesh, deforms with it and allows the visualization of rotation, strain and torsion in the circumferential and longitudinal coordinates. Such visualization demonstrates the absolute and relative values of these kinematic parameters and aids in the assessment of regional myocardial function.