Cultural Heritage Preservation Using Constructive Shape Modeling

Issues of digital preservation of shapes and internal structures of historical cultural objects are discussed. An overview of existing approaches to digital preservation related to shape modeling is presented and corresponding problems are considered. We propose a new digital preservation paradigm based on both constructive modeling reflecting the logical structure of the objects and open standards and procedures. Constructive Solid Geometry (CSG) and Function Representation (FRep) are examined and practically applied as mathematical representations producing compressed yet precise data structures, thus providing inter‐operability between current and future computer platforms crucial to archiving. Examples of CSG reconstruction of historical temples and FRep modeling of traditional lacquer ware are given. We examine the application of fitting of a parameterized FRep model to a cloud of data points as a step towards automation of the modeling process. Virtual venues for public access to cultural heritage objects including real time interactive simulation of cultural heritage sites over the Web are discussed and illustrated.

[1]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[2]  Jeffrey Abouaf,et al.  The Florentine Pietà: Can Visualization Solve the 450-Year-Old Mystery? , 1999, IEEE Computer Graphics and Applications.

[3]  M. Hedstrom.  It's about time: research challenges in digital archiving and long term preservation, I: Final report , 2004 .

[4]  Jorge J. Moré,et al.  The Levenberg-Marquardt algo-rithm: Implementation and theory , 1977 .

[5]  ARISTIDES A. G. REQUICHA,et al.  Representations for Rigid Solids: Theory, Methods, and Systems , 1980, CSUR.

[6]  John E. Dennis,et al.  An Adaptive Nonlinear Least-Squares Algorithm , 1977, TOMS.

[7]  David S. Ebert,et al.  Artificial evolution of implicit surfaces , 1998, SIGGRAPH '98.

[8]  Tosiyasu L. Kunii,et al.  Bounded Blending Operations , 2002, Shape Modeling International.

[9]  Shigeru Muraki,et al.  Volumetric shape description of range data using “Blobby Model” , 1991, SIGGRAPH.

[10]  Stephen Todd,et al.  Evolutionary Art and Computers , 1992 .

[11]  Peter Johannes Neugebauer,et al.  Geometrical cloning of 3D objects via simultaneous registration of multiple range images , 1997, Proceedings of 1997 International Conference on Shape Modeling and Applications.

[12]  Ronald Britton.  Commentary by Ronald Britton , 2002 .

[13]  Alexei Sourin,et al.  Function representation in geometric modeling: concepts, implementation and applications , 1995, The Visual Computer.

[14]  William H. Press,et al.  Numerical recipes in C. The art of scientific computing , 1987 .

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

[16]  Christoph M. Hoffmann,et al.  Geometric and Solid Modeling , 1989 .

[17]  Marc Levoy,et al.  The digital Michelangelo project: 3D scanning of large statues , 2000, SIGGRAPH.

[18]  William L. Goffe,et al.  SIMANN: FORTRAN module to perform Global Optimization of Statistical Functions with Simulated Annealing , 1992 .

[19]  F. A. Seiler,et al.  Numerical Recipes in C: The Art of Scientific Computing , 1989 .

[20]  Alonzo C. Addison,et al.  Emerging Trends in Virtual Heritage , 2000, IEEE Multim..

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

[22]  Alexander A. Pasko,et al.  Constructive Hypervolume Modeling , 2001, Graph. Model..

[23]  Paolo Cignoni,et al.  3D Scanning the Minerva of Arezzo , 2001, ICHIM.

[24]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[25]  Valery Adzhiev,et al.  HyperFun project: a framework for collaborative multidimensional F-rep modeling , 2000 .