QR code (Quick Response code) 為現代常被使用於廣告行銷、消費支付和倉儲管理的媒介，隨著經濟的快速發展，人的審美標準也日益提升，在這個著重於美學行銷的社會中，經過美化並具有安全性的圖像化 QR code 更是受到青睞。而因為在印刷時會產生網點擴張現象，導致QR code中的白色資訊點被遮掩產生次模塊辨識錯誤，進而限制QR code的最小印刷尺寸以及影響解碼率。為了解決此問題，本研究將雙重加密圖像化QR code的微結構中的黑色次模塊縮小，讓其在進行實體輸出後，降低網點擴張對解碼率的影響，使能夠輸出更小的尺寸，連帶提升圖像化QR code的使用品質。本研究利用半色調資訊隱藏技術生成圖像化QR code，首先將一個帶有外顯訊息之QR code與圖像結合形成半色調圖像化QR code。將內藏QR code之資訊以codeword為單位，避開圖像之中心置於圖像化QR code四周位置。之後將產生的圖像化QR code的黑色次模塊予以不同程度縮小，並輸出不同尺寸後，將其掃描並進行錯誤分析。研究結果顯示，使用此方法將圖像化QR code之黑色次模塊進行一定程度的縮小後，能降低次模塊辨識分析中的次模塊錯誤數量，相同輸出尺寸下將黑色次模塊適當地縮小亦使codeword錯誤率降低。本研究提出的方法除了有效降低印刷輸出的半色調雙重加密圖像化QR code次模塊錯誤及codeword辨識錯誤率外，亦能在印刷輸出成更小的尺寸下，仍能夠解碼出具有防偽功能的雙層QR code，使圖像化QR code在輸出後的應用更為多元，此方法可應用於傳統及圖像化QR code之實體輸出。

QR codes (Quick Response codes) are often used in advertising, marketing, electronic payment, and warehouse management. With the rapid economic development, we hold higher aesthetic standards than before. The beautified graphic QR code with security is even more popular. And because the dot gain phenomenon occurs during printing, white modules of quick response codes (QR codes) are degraded by dot gain, especially when printed at smaller sizes, which results in more false blacks than false whites in error analysis, and also severely affects decoding ability. To reduce the false blacks generated from printing and to improve code readability, we propose modifying the microstructure of graphic QR codes by reducing the size of the information dots. Experimental results show that the resultant QR code reduces the number of false blacks and the error rate in two different printing methods. This method applies to the physical output of both conventional and graphic QR codes.

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