Abstract—The 3D surface reconstruction from 2D cross-sections is a significant task, especially in the medical diagnosis. Therefore interpolation methods are necessary but difficult due to the 3D anisotropy between an intra-slice and inter-slice resolution. However, most of the existing literatures are inefficient to ensure the accuracy and robustness of results because of the noises or segmentation errors on the contour of slices. Moreover, the varying trend of the contour curves along the interpolation direction (z-axis), which is a very important factor in object surface description, is not well referred due to the difficulty on its representation in existing methods. In this work, we study an inter-slice interpolation method with a piecewise trend curve analysis to achieve the missing slices employing the underlying piecewise trend curve estimation of slices. The efficiency of our framework is demonstrated by experimental results on the simulated objects and real tumors. According the experimental validation, the method can get better reconstruction performance, especially in the case of objects with complex surface.
Keywords— Interpolatory contour, adaptive multi-curves approximation, underlying piecewise trend, medical image.
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