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DAGM
2005
Springer

A Novel Parameter Decomposition Approach to Faithful Fitting of Quadric Surfaces

12 years 7 months ago
A Novel Parameter Decomposition Approach to Faithful Fitting of Quadric Surfaces
This paper addresses a common problem in dealing with range images. We propose a novel method to fit surfaces of known types via a parameter decomposition approach. This approach is faithful and it strongly reduces the possibilities of dropping into local minima in the process of iterative optimization. Therefore, it increases the tolerance in selecting the initializations. Moreover, it reduces the computation time and increases the fitting accuracy compared to former approaches. We present methods for fitting cylinders, cones, and tori to 3D data points. They share the fundamental idea of decomposing the set of parameters into two parts: one part has to be solved by some traditional optimization method and another part can be solved either analytically or directly. We experimentally compare our method with a fitting algorithm recently reported in the literature. The results demonstrate that our method has superior performance in accuracy and speed.
Xiaoyi Jiang, Da-Chuan Cheng
Added 26 Jun 2010
Updated 26 Jun 2010
Type Conference
Year 2005
Where DAGM
Authors Xiaoyi Jiang, Da-Chuan Cheng
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