辨識技術在要求自動化的機械工業扮演了一個不可或缺的角色，因為自動化所使用的機械視覺系統必須與外界事物能做適當的訊息交流，所以在機器視覺感測系統必須有充足的辨視能力。
由於現今的影像系統已相當的進步，故大部份的影像上的研究都在高解析度上。而隨著對速率要求的增加，相對低解析度所帶給我們的便利如：處理速度的增加，低儲存容量，也就更形重要了。
由以往的我們對六角格子的研究上可以了解到，在微觀的角度下，六角格子的角解析較佳，影像會有較好的品質。故我們把六角格子應用在低解析度上。並將曲線彎曲函數（Curve Bend Function，簡稱CBF）導入六角架構中。並應用此函數來找尋物體的輪廓特徵，同時因為在低解析度的分析上，資料量相當的少，為了提高其準確性，在此將次像素的技術(Subpixel)應用在解析度的六角格子上，以其獲得較佳的效果。

Pattern recognition is very important in automatic industry. The automation machinery vision system must exchange information very fast with the object we need. So the machinery vision system must have powerful recognition ability.
There are more important on image processing, lately. But most researches of image processing are developed on high-resolution image. However, in same situation, for increasing the processing speed, reducing the saving space.
Low-resolution image are the only way to achieve the above condition up to now. For the purpose of quickly recognition, we construct the recognition system on low-resolution image.
From observing the characteristic of hexagonal grid, we knew the hexagonal grid have greater angular resolution and better image performance than rectangular grid. Therefore, we apply the hexagonal grid on low-resolution image, and using Curve Bend Function (call CBF) on hexagonal gird system; for promoting the accuracy of recognition.We presented an technique of subpixel on low-resolution hexagonal image to obtain better results.

摘要………………………………………Ⅰ
目錄………………………………………Ⅲ
圖目錄……………………………………Ⅴ
表目錄…………..………………………Ⅷ
第一章 緒論……………………………1
第二章 六角取樣影像處理架構及降低解析度…6
第三章 對稱性六角座標下的曲線彎曲函數……21
第四章 次像素取樣之運用………………………36
第五章 曲線彎曲函數之分析……………………48
第六章 結論與建議………………………………93
參考文獻…………………………………………….95

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