18 January 2006 Estimating the surface area and volume of a general 3D shape
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A new method for estimating the analog surface area and the volume of a general 3D shape is presented. The proposed method takes advantage of known boundary estimation techniques for 2D shapes, which would eliminate most, if not all, of the complex interpolation procedures and estimation schemes employed by the conventional methods. After taking into consideration the variation of digital boundary with shape orientations, the estimated perimeters are used to measure the lateral area of the 3D shape through single integration. The same approach can be applied to estimating the volume of the 3D shape.
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Samuel C. Lee, Samuel C. Lee, Yiming Wang, Yiming Wang, Elisa T. Lee, Elisa T. Lee, } "Estimating the surface area and volume of a general 3D shape", Proc. SPIE 6066, Vision Geometry XIV, 60660G (18 January 2006); doi: 10.1117/12.651128; https://doi.org/10.1117/12.651128


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