ABSTRACT
Due to the compact representation of vectors within n dimensional space Geometric Algebra (GA) is a preferred framework for signal representation and image representation.
In this context the R, G, B color channels are not defined separately but as a single entity.
As GA provides a rich set of operations, the signal and image processing operations becomes straightforward and the algorithms intuitive.
From the experiments it is also concluded that the convolution operation with the rotor masks within GA belong to a class of linear vector filters and can be applied to image or speech signals.
The usefulness of the introduced approach was demonstrated by analyzing and implementing two different types of edge detection schemes.What I See
這篇是出自南安普敦大學電子系統與設備系的5頁小論
其中充滿幾何代數的數學公式
主要是一步步驗證與討論彩色影像處理所使用的公式
最後加入把RGB圖層當成向量使用來分析顏色色差
結論是證實幾何代數許多公式的性質具有向量性
可用於圖像與語音訊號上
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