Perceptual organization and the representation of natural form
Artificial Intelligence
The representation, recognition, and locating of 3-d objects
International Journal of Robotics Research
IEEE Transactions on Pattern Analysis and Machine Intelligence
Hierarchical Chamfer Matching: A Parametric Edge Matching Algorithm
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multilayer feedforward networks are universal approximators
Neural Networks
On Three-Dimensional Surface Reconstruction Methods
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Describing Complicated Objects by Implicit Polynomials
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Complex EGI: A New Representation for 3-D Pose Determination
IEEE Transactions on Pattern Analysis and Machine Intelligence
Parameterized Families of Polynomials for Bounded Algebraic Curve and Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
Information extraction about complex three-dimensional objects from visual data (bayesian, position estimation, robot vision, recognition)
IEEE Transactions on Image Processing
Advanced algorithmic approaches to medical image segmentation
2D Euclidean distance transform algorithms: A comparative survey
ACM Computing Surveys (CSUR)
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In this paper, we apply the previously proposedcontinuous distance transform neural network (CDTNN) to represent3-D endocardial (inner) and epicardial (outer) contours andquantitatively estimate the motion of left ventriclesof human hearts from ultrasound images acquired usingtransesophageal echo-cardiography. This CDTNN has many goodproperties as the conventional distance transforms, which aresuitable for 3-D object representation and deformation estimation. We have successfully represented the 3-D epicardia and endocardiaof left ventricles using CDTNNs trained by as few as 7.5% of themanually traced data. The mean absolute error in the testing forone patient over the 27 testing planes were (1.4 ± 1.2 mm)for the endocardium, (1.3 ± 1.0 mm) for the epicardium at end diastole and (1.4 ± 1.2 mm) for theendocardium vs. 1.2 ± 1.0 mm for the epicardium at endsystole. The absolute error measured compares favorably with thehuman inter-observer variability reported for analyzing distances.With this unique distance transform representation that iscontinuous and differentiable, we are also able to systematicallyand effectively measure the amount of 3-D heart motion in terms ofaffine transform.