Inst. of Electr. Eng., Nat. Tsing Hua Univ., Hsinchu.
IEEE Trans Image Process. 1995;4(3):370-8. doi: 10.1109/83.366472.
A new criterion for multilevel thresholding is proposed. The criterion is based on the consideration of two factors. The first one is the discrepancy between the thresholded and original images and the second one is the number of bits required to represent the thresholded image. Based on a new maximum correlation criterion for bilevel thresholding, the discrepancy is defined and then a cost function that takes both factors into account is proposed for multilevel thresholding. By minimizing the cost function, the classification number that the gray-levels should be classified and the threshold values can be determined automatically. In addition, the cost function is proven to possess a unique minimum under very mild conditions. Computational analyses indicate that the number of required mathematical operations in the implementation of our algorithm is much less than that of maximum entropy criterion. Finally, simulation results are included to demonstrate their effectiveness.
提出了一种新的多阈值分割准则。该准则基于对两个因素的考虑。第一个因素是阈值图像和原始图像之间的差异，第二个因素是表示阈值图像所需的位数。基于双阈值的新最大相关准则，定义了差异，然后提出了一个同时考虑两个因素的代价函数用于多阈值分割。通过最小化代价函数，可以自动确定灰度级应分类的分类数和阈值。此外，在非常温和的条件下，证明了代价函数具有唯一的最小值。计算分析表明，我们算法的实现所需的数学运算次数比最大熵准则少得多。最后，包含了模拟结果以证明它们的有效性。
