Abstract
Interpreting the geometry of geological objects is a standard activity of field-based geologists. We present new graphics tools that will aid in extending this activity from 2-D geological mapping into a 3-D environment. Much of the existing 3-D geological modeling software supports the construction of objects with the input of dense control data. However, for regional mapping and near mine exploration work, sparse data is the norm. Tools are required therefore, which give the expert interpreter full control of the graphics objects, while at the same time constraining interpretations to specific control data from field observations. We present the initial results of a software design and programming project for the visualization of complex regional scale geologic objects using Bézier-based graphics tools that are optimized for sparse data interpretation. We also introduce the concept of a structural ribbon, which is a 3-D extended map trace, along with methods for the optimization of surface construction using graphical grip frames.
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References
R.M. Stesky. Spheristat 2: User Manual, Pangaea Scientific: Brockville, Ontario, Canada, 1998.
F.C. Phillips. The Use of Stereographic Projection in Structural Geology, 3rd edition. Edward Arnold: London, U.K., 1971.
C.M. Knox-Robinson and S. Gardoll. “GIS-stereoplot: An interactive steronet plotting module for Arcview 3.0 geographic information system,” Computers and Geosciencs, Vol. 24(3):243–250, 1998.
A.B. Smith and S.J. Gardoll. “Structural analysis in mineral exploration using a geographic information systems-adapted stereographic-projection plotting program,” Australian Journal of Earth Sciences, Vol. 44:445–452, 1997.
A.K. Lobeck. Block Diagrams. Emerson-Trussell: Amherst, USA, 1958.
D. Ragan. Structural Geology—An Introduction to Geometrical Techniques, 3rd edition. John Wiley and Sons: New York, USA, 1985.
K.S. Dueholm, A.A. Gardeand, and A.K. Pedersen. “Preparation of accurate geological and structural maps, cross-sections or block diagrams from colour slides, using multi-model photogrammetry,” Journal of Structural Geology, Vol.15(7):933–937, 1993.
K.S. Hatch. “Creating an isometric block diagram from a topographic map using Aldus Freehand,” Bulletin, Society of University Cartographers, Vol. 28(1):37–39, 1994.
E.M. Schetselaar. “Computerized field-data capture and GIS analysis for generation of cross sections in 3–D perspective views,” Computers & Geosciences, Vol. 21(5):687–701, 1995.
S. Marshak and G. Mitra. Basic Methods of Structural Geology. Prentice Hall: Englewood Cliffs, New Jersey, USA, 1988.
C. Nash, P. Leeming, H. Kotasek, and R. Carey. “Integrated interpretation of imaged airborne geophysical survey and remote sensing data with the aid of vectorized CAD/GIS coverages: Halls Creek Mobile Belt, Australia,” Proceedings Volume I, Eleventh Thematic Conference on Applied Geologic Remote Sensing, Las Vegas, Nevada, 343–352, 1996.
E.M. Schetselaar. “Shear zone mapping using ERS-1 SAR images of the Paleoproterozoic Taltson magmatic zone, Canadian Shield, northeastern Alberta,” International Institute for Aerospace Survey and Earth Sciences Survey (ITC) Journal, Vol. 2:166–175, 1996.
J.R. Harris, C. Bowie, A.N. Rencz, D. Viljoen, P. Huppé, G. Labelle, J. Broome, and A.B. Baker. “Production of image maps for earth science applications,” Proceedings, Tenth Thematic Conference on Geologic Remote Sensing, San Antonio, Texas, Vol. 2:247–257, May 9–12, 1994.
W.J. McGaughey and M.A. Vallée. “3–D ore delineation in three dimensions”, in Proceedings of Exploration 97: Fourth Decennial Conference on Mineral Exploration, Toronto, Canada, 639–650, 1997.
E. Argand. “La tectonique de l'Asie. Congrès géologique international, Belgique,” Comptes Rendus, 171–372, 1922.
G.E. Farin. Curves and Surfaces for Computer Aided Geometric Design: A Practical Guide, Second edition, Academic Press, Inc.: San Diego, CA, USA, 1990.
D.G. De Paor. “Bézier curves and geological design,” in Structural Geology and Personal Computers, Pergamon Press, 389–417, 1996.
E.A. de Kemp. 3–D Integration and Visualization of Structural Field Data: Tools For Regional Subsurface Mapping. Ph.D. Thesis, Université du Québec à Chicoutimi, Canada, 2000.
E.A. de Kemp. “3–D visualization of structural field data: Examples from the Archean Caopatina Formation, Abitibi greenstone belt, Québec, Canada,” Computers and Geosciences, Vol. 26:509–530, 2000.
A. Rockwood and P. Chambers. Interactive Curves and Surfaces: A MultiMedia Tutorial on CAGD, Morgan Kaufmann Publishers, Inc.: San Franciso, C.A., USA, 1996.
J.-L. Mallet. “Discrete smooth interpolation,” ACM Transactions on Graphics, Vol. 8(2):121–144, 1989.
M.R. St-Onge, D.J. Scott, N. Wodicka, and S.B. Lucas. “Geology of the McKellar Bay-Wight Inlet-Frobisher Bay area, southern Baffin Island, Northwest Territories. Canadian Shield/Bouclier canadien,” Geological Survey of Canada, Current Research, C:43–53, 1998.
E.A. de Kemp. “Variable 3–D geometrical projection of curvilinear geological features through direction cosine interpolation of structural field observations,” Computers and Geosciences, Vol. 24(3):269–284, 1998.
E.A. de Kemp. “Visualization of complex geological structures using 3–D Bézier construction tools,” Computers and Geosciences, Vol. 25(4):581–597, 1999.
E.A. de Kemp, D. Corrigan, and M.R. St-Onge. “Evaluating the potential for 3D structural modelling of the Archean and Paleoproterozoic rocks of Central Baffin Island, Nunavut, Canada,” Geological Survey of Canada, Current Research, C24:9, 2001.
T. Ackland. “On osculatory interpolation, where the given values of the function are at unequal intervals,” Journal of the Institute of Actuaries, Vol. 49:369–375, 1915.
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de Kemp, E., Sprague, K. Interpretive Tools for 3-D Structural Geological Modeling Part I: Bézier-Based Curves, Ribbons and Grip Frames. GeoInformatica 7, 55–71 (2003). https://doi.org/10.1023/A:1022822227691
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DOI: https://doi.org/10.1023/A:1022822227691