IEEE Transactions on Pattern Analysis and Machine Intelligence · 1993 · 60 citations · 10 references
ComputingComputational EngineeringVisualization3D ModelingComputational GeometryMedical Visualization3D AnimationAdaptive Mesh RefinementGeometry ProcessingSurface ModelingSurface ReconstructionThree-dimensional ReconstructionCurvatureError Analysis In Curve FittingMesh SizeMesh Size SelectionNon-rigid ReconstructionNon-rigid Surface ReconstructionShape AnimationThree-dimensional Medical Animation
A physically based modeling method that uses adaptive-size meshes to model surfaces of rigid and nonrigid objects is presented. The initial model uses an a priori determined mesh size. However, the mesh size increases or decreases dynamically during surface reconstruction to locate nodes near surface areas of interest (like high curvature points) and to optimize the fitting error. Further, presented with multiple 3-D data frames, the mesh size varies as the data surface undergoes nonrigid motion. This model is used to reconstruct 3-D surfaces, analyze the nonrigid motion, track the corresponding points in nonrigid motion, and create graphic animation and visualization. The method was tested on real range data, on simulated nonrigid motion, and on real data for the left ventricular motion.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Numerical Recipes--The Art of Scientific Computing.
Frederick N. Fritsch, William H. Press, Brian P. Flannery et al. · Mathematics of Computation · 1988 · 4.9K citations
Sampling and reconstruction with adaptive meshes
Demetri Terzopoulos, M. Alex O. Vasilescu · 2002 · 182 citations