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论文类型：期刊论文

发表时间：2010-10-01

发表刊物：ICIC Express Letters

收录刊物：EI、Scopus

卷号：4

期号：5

页面范围：1529-1535

ISSN号：1881803X

摘要：Recent improvements in 3D rangefinder technology allow us to accurately and conveniently acquire the range data of physical objects. The geometric properties of range data need to be computed in many applications, such as reverse engineering and pattern recognition. In this paper, a new method is proposed for computing the geometric properties of range data. Geometric properties are dependent on derivatives. In order to obtain the reliable derivatives of discrete points, the derivative of a discrete function at a point, also called the discrete derivative, is defined. By using discrete derivatives, classical differential geometry is discretized and the geometric properties of range data are computed from the Euler formula. The proposed method is evaluated and compared with other existing methods in the experiments with both synthetic and real range data. The experimental results demonstrate that the proposed method is accurate, robust to noise, and suitable for different surface shapes. ICIC International ? 2010 ISSN.