Measuring cubeness in the limit cases

作者：Martinez Ortiz Carlos^*; Zunic Jovisa

来源：Applied Mathematics and Computation, 2011, 217(21): 8860-8865.

DOI：10.1016/j.amc.2011.03.114

• 3D shape
• Shape descriptors
• Compactness measure
• Image processing

In this paper we show that the recently introduced family of the cubeness measures C-beta(S) (beta > 0) satisfy the following desirable property: lim(beta ->infinity)C(beta)(S) = 0, for any given 3D shape S different from a cube. The result implies that the behaviour of cubeness measures changes depending on the selected value of beta and the cubeness measure can be arbitrarily close to zero for a suitably large value of beta. This also implies that for a suitable value of beta, the measure C-beta(S) can be used for detecting small deviations of a shape from a perfect cube. Some examples are given to illustrate these properties.

• 出版日期2011-7-1