Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Boundary-based corner detection using eigenvalues of covariance matrices
Pattern Recognition Letters
On the performance evaluation of 3D reconstruction techniques from a sequence of images
EURASIP Journal on Applied Signal Processing
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The study of the molecular control of organ growth requires the establishment of the causal relationship between gene expression and cell behaviors. Specifically, we seek to understand this relationship at the shoot apical meristem (SAM) of model plant Arabidopsis thaliana. This requires the spatial mapping and temporal alignment of different functional domains into a single template. Live cell imaging techniques give us the ability to observe organ primordial growth and gene expression dynamics at cellular resolution in real time. In this paper, we propose a framework for measurement of growth features at the 3D reconstructed surface of organ primordia, as well as an algorithm for robust time alignment of primordia. Given a time series of live imaging data, we computed surface areas and deformation values from reconstructed 3D surfaces of individual primordia. Based on these growth measurements, we applied a modified landscape matching algorithm (which we refer to as LAM-M for presentation purposes), to ensure a reliable temporal alignment of multiple primordia. Although the original landscape matching algorithm (LAM) motivated our alignment approach, it fails to properly align growth curves in the presence of high noise/distortion. To overcome this shortcoming, we modified the cost function to consider the landscape of the corresponding deformation time series. Results on both synthetic and real data show that the proposed framework performs at least as well as the LAM algorithm, and better in the case of increased noise.