Trajectory fusion for three-dimensional volume reconstruction.
Sang-Chul Lee and Peter Bajcsy
Journal of Computer Vision and Image Understanding, 110 pp. 19-31 (2008)
We address the 3D volume reconstruction problem from depth adjacent sub-volumes acquired by
a confocal laser scanning microscope (CLSM). Our goal is to align the sub-volumes by estimating a set of optimal global
transformations that preserve morphological continuity of medical structures, e.g., blood vessels, in the reconstructed 3D volume.
We approach the problem by learning morphological characteristics of structures of interest in each sub-volume to understand global
alignment transformations. Based on the observations of morphology, sub-volumes are aligned by connecting the morphological features
at the sub-volume boundaries by minimizing morphological discontinuity. To minimize the discontinuity, we introduce three
morphological discontinuity metrics: discontinuity magnitude at sub-volume boundary points, and overall and junction discontinuity
residuals after polynomial curve fitting to multiple aligned sub-volumes. The proposed techniques have been applied to the problem
of aligning CLSM sub-volumes acquired from four consecutive physical cross sections. Our experimental results demonstrated
significant improvements of morphological smoothness of medical structures in comparison with the results obtained by naive
feature matching followed by volume transformation at the sub-volume boundaries. The experimental results were evaluated
by visual inspection and by quantifying morphological discontinuity metrics.
Keywords: 3D Volume reconstruction; Trajectory fusion; Confocal laser scanning microscopy; Sub-volume registration;
Extrapolation; Residual minimization