Geometric/Solid Modeling
Books:
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Barzel, R., Physically Based Modeling for Computer Graphics, Academic Press,
1992.
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Piegl, L., Fundamentals of Computer-Aided Geometric Modeling, Academic
Press, 1993.
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Shah, J. J., and Mantyla, M., Parametric and Feature-Based CAD/CAM, John
Wiley, 1995.
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Hoffmann, C. M., Geometric and Solid Modeling, Morgan Kaufmann, 1989.
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Piegl, L., and Tiller, W., The NURBS Book, Springer Verlag, 1995.
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Stollnitz, E. J., DeRose, T. D., and Salesin, D., Wavelets for Computer
Graphics: Theory and Applications, Morgan Kauffmann, 1996.
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Mortenson, M. E., Geometric Modeling, John Wiley, 1997.
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Mantyla, M., Introduction to Solid Modeling, Computer Science Press, 1988.
Papers:
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Agrawal, A., Requicha, A. A. G., A Paradigm for the Robust Design of Algorithms
for Geometric Modeling, Computer Graphics Forum, vol. 13, no. 3, 1994,
pp. 33-44.
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Ai-Daccak, M., Angeles, J., The Calculation of the Volumetric Properties
of Sweep-Generated Solids Via Line Integration, Journal of Mechanical Design,
vol. 115, 1993, pp. 110-118.
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Arbab, F., Solid Modeling-Set Models and Boolean Operations for Solids
and Assemblies, IEEE Computer Graphics and Applications, Nov., 1990, pp.
76-86.
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Brady, M., Criteria for Representations of Shape, Human and Machine Vision,
1983,pp. 39-84.
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Brown, L. G., A Survey of Image Registration Techniques, ACM Computing
Surveys, vol. 24, no. 4, 1992, pp.325-376.
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Damski, J. C., Gero, J. S., A Logic-Based Framework for Shape Representation,
Computer-Aided Design, vol. 28, no. 3, 1996, pp. 169-181.
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Decarlo, D., Gallier, J., Topological Evolution of Surfaces, Graphics Interface'96,
pp. 194-203.
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Desaulniers, H., Stewart, N. F., An Extension of Manifold Boundary Representations
to the r-Sets, ACM Transactions on Graphics, vol. 11, no. 1, 1992, pp.
40-60.
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Elsen, P. A., Pol, E., Viergever, M. A., Medical Image Matching-A Review
with Classification, IEEE Engineering in Medicine and Biology, March, 1993,
pp. 26-39.
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Gorti, S. R., Gupta, A., Kim, G. J., Sriram, R. D. and Wong, A., An Object-Oriented
Representation for Product and Design Processes, 1997.
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Gupta, S. K., Regli, W. C. and Nau, D. S., Manufacturing Feature Instance:
Which Ones to Recognize?, Symposium on Solid Modeling and Applications
- Proceedings of the 3rd Symposium on Solid Modeling and Applications ,
May 17-19, 1995, Salt Lake City, pp. 141-152.
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Halmos, P. R., Lectures on Boolena Algebras, Published in Princeton, N.
J., Van Nostrand, 1963.
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Han, J., Requicha, A. A. G., Incremental Recognition of Maching Features,
Proceeding of ASME 14th International Computers In Engineering Conference,
MN, September 11-14th, 1994, pp. 143-149.
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Henderson, M. R., Representing Functionality and Design Intent in Product
Models, Symposium on Solid Modeling and Applications - Proceedings of the
2nd Symposium on Solid Modeling and Applications, May 19-21, 1993 19, Montreal,
Que, pp. 387-396.
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Hermann, G., Volumetric Model Based Programming of Coordinate Measuring
Machines, 1990.
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Hoffmann, C. M., On the Semantics of Generative Geometry Representations,
Advances in Design Automation, vol. 2, 1993, pp. 411-419.
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Hoffmann, C. M., Juan, R., Erep-An Editable, High-Level Representation
for Geometric Design and Analysis, Geometric and Product Modeling, P. Wilson,
M. Wozny, M. Pratt, eds., North Holland, 1992, pp. 129-164.
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Hoffmann, C. M., Vermeer, P. J., A Spatial Constraint Problem, Computational
Kinematics, J.-P. Merlet and B. Ravani (eds.), 1995, pp. 83-92.
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Inui, M., Miura, M. and Kimura, F., Analysis of Position Uncertainties
of Parts in An Assembly Using Configuration Space in Octree Representation,
Symposium on Solid Modeling and Applications - Proceedings of the 3rd Symposium
on Solid Modeling and Applications , May 17-19, 1995, Salt Lake City, pp.
73-81.
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Kumar, V., Kulkarni, P. and Dutta, D., Adaptive Slicing of Heterogeneous
Solid Models for Layered Manufacturing, Proceedings of DETC'98, 1998 ASME
Design Engineering Technical Conferences September 13-16, 1998, Atlanta,
Georgia, USA, DETC98/CIE-5698, pp. 1-12.
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Kumar, V., Dutta, D., An Approach to Modeling & Representation of Heterogeneous
Objects, in Review: ASME Journal of Mechanical Design, April, 1998.
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Kunigahalli, R., 3D Modeling for Computer-Integrated Construction of RC
Structures, Journal of Computing in Civil Engineering, April. 1997, pp.
92-101.
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Lasser, D., Rational Tensor Product Bezier Volumes, Computers Math. Applic.,
vol. 28, no. 8, 1994, pp. 49-62.
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Lee, Y. T., Requicha, A. A. G., Algorithms for Computing the Volume and
Other Integral Properties of Solids. I. Known Methods and Open Issues,
Application: Engineering and the Sciences, vol. 25, no. 9, 1982, pp. 635-641.
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Lee, Y. T., Requicha, A. A. G., Algorithms for Computing the Volume and
Other Integral Properties of Solids. II. A Family of Algorithms Based on
Representation Conversion and Cellular Approximation, Application: Engineering
and the Sciences, vol. 25, no. 9, 1982, pp. 642-650.
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Marsan, A., Dutta, D., On the Application of Tensor Product Solids in Heterogeneous
Solid Modeling, Proceedings of DETC'98, 1998 ASME Design Engineering Technical
Conferences September 13-16, 1998, Atlanta, Georgia, USA, DETC98/DAC-5622,
pp. 1-9.
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Menon, J. P., Voelcker, H. B., On the Completeness and Conversion of Ray
Representations of Arbitrary Solids, Symposium on Solid Modeling and Applications
- Proceedings of the 3rd Symposium on Solid Modeling and Applications ,
May 17-19, 1995, Salt Lake City, pp. 175-186.
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Pratt, M. J., Representation and Communication in Geometric Modelling,
Theory and Practice of Geometric Modeling: W.Stiales and HP. Scidel eds.,
1989, pp. 525-544.
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Ranta, M., Mantyla, M., Umeda, Y. and Tomiyama, T., Integration of Functional
and Feature-Based Product Modelling-the IMS/GNOSIS Experience, 1994
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Rappoport, A., Geometric Modeling: a New Fundamental Framework and Its
Practial Implications, Symposium on Solid Modeling and Applications - Proceedings
of the 3rd Symposium on Solid Modeling and Applications , May 17-19, 1995,
Salt Lake City, pp. 31-41.
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Rappoport, A., The Generic Geometric Complex (GGC): a Modeling Scheme for
Families of Decomposed Pointsets, Proceedings of the Symposium on Solid
Modeling and Applications-Proceedings of the 4th Symposium on Solid Modeling
and Applications, May 14-16, 1997 , Atlanta, pp 19-30.
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Requicha, A. A. G., Representations for Rigid Solids: Theory, Methods,
and Systems, Computing Surveys, vol. 12, no, 4, 1980, pp. 437-462.
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Rossignac, J. R., Active Zones in CSG for Accelerating Boundary Evaluation,
Redundancy Elimination, Interference Detection, and Shading Algorithms,
ACM Transactions on Graphics, vol. 8, no. 1, 1989, pp. 51-87.
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Rossignac, J. R., O'Connor, M. A., SGC: A Dimension-Independent Model for
Pointsets with Internal Structures and Incomplete Boundaries, Geometric
Modeling for Product Engineering, M. J. Wozny, J. U. Turner and K. Preiss,
Eds., North-Holland, 1990, pp. 145-180.
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Sanchez-Reyes, J., Single-Valued Surfaces in Spherical Coordinates, Computer
Aided Geometric Design, vol. 11, 1994, pp. 491-517.
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Sanchez-Reyes, J., Single-Valued Tubular Patches, Computer Aided Geometric
Design, vol. 11, 1994, pp. 565-592.
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Shah, J. J., Miller, D. W., A Structure for Supporting Geometric Tolerances
in Product Definition Systems for CIM, Manufacturing Review, vol. 3, no.
1, 1990, pp. 23-31.
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Shan, J. J., Feature Transformations between Application-Specific Feature
Spaces, Computer-Aided Engineering Journal, vol. 5, no. 6, 1988, pp. 247-255.
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Shapiro, V., Well-Formed Set Representations of Solids, 1996
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Shareef, N., Yagel, R., Rapid Previewing Via Volume-Based Solid Modeling,
Symposium on Solid Modeling and Applications - Proceedings of the 3rd Symposium
on Solid Modeling and Applications , May 17-19, 1995, Salt Lake City, pp.
281-291.
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Sheffer, A., Blacker, T. and Bercovier, M., CAD Data Repair Based on Virtual
Topoly, Proceedings of DETC'98, 1998 ASME Design Engineering Technical
Conferences September 13-16, 1998, Atlanta, Georgia, USA, DETC98/DAC-5566,
pp. 1-10.
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Shinagawa, Y., Kunii, T. L., Fomenko, A. T. and Takahashi, S., Coding of
Object Surfaces Using Atoms, 1994.
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Steketee, J. J., A Uniform Representation Scheme for Freeform Geometric
Modelling, Theory and Practice of Geometric Modeling: W.Stiales and HP.
Scidel eds., 1989, pp. 143-163.
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Subrahmanyam, S., Feature Attributes and Their Role in Product Modeling,
Symposium on Solid Modeling and Applications - Proceedings of the 3rd Symposium
on Solid Modeling and Applications , May 17-19, 1995, Salt Lake City, pp.
115-124.
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Ulrich, K. T., Seering, W. P., Synthesis of Schematic Descriptions in Mechanical
Design, Research in Engineering Design, vol. 1, 1989, pp. 3-18.
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Weiler, K., Non-Manifold Geometric Boundary Modeling, Draft Prepared for
SIGGRAPH '87 Advanced Solid Modeling Tutorial, 1987.
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Weiler, K., Edge-Based Data Structures for Solid Modeling in Curved-Surface
Enviroments, IEEE Computer Graphics and Applications, vol. 5, no. 1, 1985,
pp. 21-40.
http://www.public.iastate.edu/~cadcam