A Method for Registration of 3-D Shapes
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
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Image and Vision Computing - Special issue: range image understanding
The algorithmic beauty of sea shells
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Computer Aided Geometric Design
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Computer Aided Geometric Design
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ACM Transactions on Graphics (TOG)
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Computer-Aided Design
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Computer-Aided Design
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Computer-Aided Design
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GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
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Computers and Graphics
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MCPR'12 Proceedings of the 4th Mexican conference on Pattern Recognition
Generalized, basis-independent kinematic surface fitting
Computer-Aided Design
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We investigate 3D shape reconstruction from measurement data in the presence of constraints. The constraints may fix the surface type or set geometric relations between parts of an object's surface, such as orthogonality, parallelity and others. It is proposed to use a combination of surface fitting and registration within the geometric optimization framework of squared distance minimization (SDM). In this way, we obtain a quasi-Newton like optimization algorithm, which in each iteration simultaneously registers the data set with a rigid motion to the fitting surface and adapts the shape of the fitting surface. We present examples to show the applicability of our method to constrained 3D shape fitting for reverse engineering of CAD models and to high accuracy fitting with kinematic surfaces, which include surfaces of revolution (reconstructed from fragments of archeological pottery) and spiral surfaces, which are fitted to 3D measurement data of shells. Our optimization algorithm can combine registration of multiple scans of an object and model fitting into a single optimization process which is shown to be superior to the traditional procedure, which first registers the data and then fits a model to it.