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Using Affine Transformation to Obtain Approximate Offset Surface

Author

Listed:
  • Hongxing Zhao
  • Zhenglin Ye
  • Yaqin Meng
  • Man Wang

Abstract

For an arbitrary function C1 surface, we can use segment affine transformation to obtain a surface as its approximate offset surface. Each segment of the approximate offset surface and the corresponding segment of the original surface are proved to be of the same function type. After affine transformation, the geometric invariance of the original surface is proved to be retained in the approximate offset surface. The numerical example demonstrated the efficiency of our method.

Suggested Citation

  • Hongxing Zhao & Zhenglin Ye & Yaqin Meng & Man Wang, 2009. "Using Affine Transformation to Obtain Approximate Offset Surface," International Journal of Distributed Sensor Networks, , vol. 5(1), pages 24-24, January.
    • Handle: RePEc:sae:intdis:v:5:y:2009:i:1:p:24-24
    DOI: 10.1080/15501320802508550
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