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3D image synthesis forB-reps objects

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Abstract

This paper presents a new algorithm for generating 3D images ofB-reps objects with trimmed surface boundaries. The 3D image is a discrete voxel-map representation within a Cubic Frame Buffer (CFB). The definition of 3D images for curve, surface and solid object are introduced which imply the connectivity and fidelity requirements. Adaptive Forward Differencing matrix (AFD-matrix) for 1D–3D manifolds in 3D space is developed. By setting rules to update the AFD-matrix, the forward difference direction and stepwise can be adjusted. Finally, an efficient algorithm is presented based on the AFD-matrix concept for converting the object in 3D space to 3D image in 3D discrete space.

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References

  1. J. F. Blinn, L. C. Carpenter, J. M. Lane and T. Whitted, Scan line methods for displaying parametrically defined surfaces.CACM,23:1 (1980), 23–34.

    Google Scholar 

  2. A. Kaufman, Efficient Algorithms for 3D Scan-Conversion of Parametric Curves, Surfaces and Volumes. Proc. SIGGRAPH’87, Anaheim, July 1987, 171–179.

  3. A. Kaufman and R. Bakalash, A 3D Cellular Frame Buffer. Proc. EUROGRAPHICS’85, Nice, France, September 1985, 215–220.

  4. C. E. Kim, Three-dimensional digital planes.IEEE Trans. Pattern Anal. Machine Intell.,PAMI-6:5 (1984), 639–645.

    Article  MATH  Google Scholar 

  5. Lien Sheue-Ling, M. Shantz and V. Pratt, Adaptive Forward Differencing for Rendering Curves and Surfaces. Proc. SIGGRAPH’87, Anaheim, July 1987, 111–118.

  6. D. F. Rogers, Procedual Elements for Computer Graphics. McGraw-Hill Inc., 1985.

  7. S. N. Srihari, Representation of Three-Dimensional Digital Images.Computing Surveys,4:13 (1981), 399–424.

    Article  Google Scholar 

  8. R. A. Drebin, L. Carpenter and P. Hanrahan, Volume Rendering. Proc. SIGGRAPH’88, August 1988, 65–73.

  9. P. Sabella, A Rendering Algorithm for Visualizing 3D Scalar Fields. Proc. SIGGRAPH’88, August 1988, 51–58.

  10. C. Upson, M. Keeler, V-BUFFER: Visible Volume Rendering. Proc. SIGGRAPH’88, August 1988, 59–64.

  11. M. Shantz, S. L. Chang, Rendering Trimmed NURBS with Adaptive Forward Differencing. Proc. SIGGRAPH’88, August 1988, 189–198.

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The project is supported by the National Natural Science Foundation of China.

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Huang, Z., Peng, Q. & Liang, Y. 3D image synthesis forB-reps objects. J. of Comput. Sci. & Technol. 6, 113–120 (1991). https://doi.org/10.1007/BF02945362

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  • DOI: https://doi.org/10.1007/BF02945362

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