快速原型(Rapid Prototyping)技術是以疊層製造(Layered Manufacturing)的方式來製造工件。CAD模型切層後，可將其分為切層區塊與誤差區塊，階梯效應為誤差區塊產生的主因，階梯效應越大會使得建構工件與原CAD模型在表面精確度造成較大的差異。目前所提出的適應性切層法，大多數是以Cusp Height為基礎，但它並不能有效的降低階梯效應。本研究先計算切層封閉輪廓面積，並進一步求得切層區塊與誤差區塊體積，最後以誤差區塊體積來決定切層厚度，可有效將階梯效應最小化。在模擬實驗中，利用本研究所提之方法，與Cusp Height適應切層法做體積差異之比較，由結果可知，運用體積誤差率為指標，可得到一個精確度較高的適應性切層，使得加工時的精度更準確，並獲得愈趨近於原CAD模型的實體。

Rapid Prototyping(RP) is based on layered manufacturing(LM). The actual slice of the original CAD model can be divided into two parts, one is the sliced part and the other is the difference part. The staircase effect gives rise to difference part. The higher staircase effect causes the more difference of surface precision between the CAD model and the part produced by the RP machine. Nearly all the reported adaptive slicing algorithms are based on the Cusp Height. But the Cusp Height may not be the best representative of the staircase effect in same cases. This paper uses Surveyor’s Area Formula to calculate the close contour area, and then gets the sliced part area and difference part area. Then the difference part was used to determine the last sliced thickness to minimize the staircase effect. In this paper, we use the method to compare with adaptive slicing based on Cusp Height upon area differences. We found that by using this method, we can improve the precision while slicing, and make the part produced by the RP machine nearly the original CAD model as possible.

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