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Conformal Geometry Based Supine and Prone Colon Registration

机译:基于共形几何的仰卧和俯卧结肠配准

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摘要

In virtual colonoscopy, CT scans are typically acquired with the patient in both supine and prone positions. The registration of these two scans is desirable so that the physician can clarify situations or confirm polyp findings at a location in one scan with the same location in the other, thereby improving polyp detection rates and reducing false positives. However, this supine-prone registration is challenging because of the substantial distortions in the colon shape due to the patient's position shifting. We present an efficient algorithm and framework for performing this registration through the use of conformal geometry to guarantee the registration is a diffeomorphism. The colon surface is conformally flattened to a rectangle using holomorphic differentials. The flattened domains of supine and prone are aligned by the harmonic map with feature correspondence constraints. We demonstrate the efficiency and efficacy of our method by measuring the distance between features on the registered colons.
机译:在虚拟结肠镜检查中,通常在患者处于仰卧位和俯卧位时都需要进行CT扫描。希望对这两次扫描进行配准,以便医师可以在一次扫描中某个位置与另一个位置相同的位置澄清情况或确认息肉发现,从而提高息肉检测率并减少假阳性。然而,由于患者位置的改变,结肠的形状会发生实质性的变形,因此这种仰卧姿势的注册具有挑战性。我们提出了一个有效的算法和框架,用于通过使用保形几何来执行此配准,以确保配准是非同构的。使用全同差分将结肠表面共形地平坦化为矩形。仰卧和俯卧的扁平区域通过具有特征对应约束的谐波图对齐。我们通过测量注册结肠特征之间的距离来证明我们方法的效率和功效。

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