Artifact vs. Anatomy: Dealing with Conflict of Geometric Modeling Descriptions

[1]  W. Rheinboldt.  On the computation of multi-dimensional solution manifolds of parametrized equations , 1988 .

[2]  Mark A. Ganter,et al.  Implicit Methods for Geometry Creation , 1998, Int. J. Comput. Geom. Appl..

[3]  Andrew S. Glassner,et al.  Space subdivision for fast ray tracing , 1984, IEEE Computer Graphics and Applications.

[4]  Christoph M. Hoffmann,et al.  Geometric and Solid Modeling: An Introduction , 1989 .

[5]  A. Ricci,et al.  A Constructive Geometry for Computer Graphics , 1973, Computer/law journal.

[6]  W. Lorensen,et al.  Two algorithms for the three-dimensional reconstruction of tomograms. , 1988, Medical physics.

[7]  H. L. Resnikoff,et al.  Wavelet analysis: the scalable structure of information , 1998 .

[8]  John C. Hart,et al.  Sphere tracing: a geometric method for the antialiased ray tracing of implicit surfaces , 1996, The Visual Computer.

[9]  Blake Hannaford,et al.  Haptic Rendering for Internal Content of an Implicit Object , 1999, Dynamic Systems and Control.

[10]  Stefan Gnutzmann,et al.  Simplicial pivoting for mesh generation of implicity defined surfaces , 1991, Comput. Aided Geom. Des..

[11]  Jakob Andreas Bærentzen,et al.  3D distance fields: a survey of techniques and applications , 2006, IEEE Transactions on Visualization and Computer Graphics.

[12]  M. T. Ensz,et al.  Object reconstruction from layered data using implicit solid modeling , 1997 .

[13]  Brian Wyvill,et al.  Introduction to Implicit Surfaces , 1997 .

[14]  Mark A. Ganter,et al.  Object extent determination for algebraic solid models , 1995, DAC 1995.

[15]  Vadim Shapiro,et al.  Real functions for representation of rigid solids , 1994, Comput. Aided Geom. Des..

[16]  Olga Veksler,et al.  Graph Cuts in Vision and Graphics: Theories and Applications , 2006, Handbook of Mathematical Models in Computer Vision.

[17]  Ronald Fedkiw,et al.  Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.

[18]  Alexei Sourin,et al.  Function representation for sweeping by a moving solid , 1995, SMA '95.

[19]  William E. Lorensen,et al.  Marching cubes: A high resolution 3D surface construction algorithm , 1987, SIGGRAPH.

[20]  Eugene L. Allgower,et al.  Numerical continuation methods - an introduction , 1990, Springer series in computational mathematics.

[21]  David R. Haynor,et al.  Image segmentation and registration for the analysis of joint motion from 3D MRI , 2006, SPIE Medical Imaging.