色彩數量與面積因素影響圖像複雜度之量化研究

Quantification of Pictorial Complexity Contributed by Factors of Color Number and Relative Area

10.6381/JD.200612.0001

魏碩廷(Shuo-Ting Wei)；楊清田(Chen-Tien Yang)

圖像複雜度 ； 視覺搜尋 ； 反應時間 ； 複雜度測量 ； 熵 ； Color ； Pictorial complexity ； Visual search ； Reaction time ； Complexity measure ； Entropy

設計學報

11卷4期（2006 / 12 / 01）

1 - 19

繁體中文

The main purpose of this study aimed to investigate the relationship between two factors (color number and relative area) and pictorial complexity through visual search approach, and the appropriate quantification of the relationship was also concluded via complexity measure approach. The results indicated positive relationship between color number and pictorial complexity when the number of different colors used in a picture is less than 6. The increasing rate becomes graded while more than 6 colors are involved. Besides, the relationship between difference of color areas and complexity value was inverse proportion. Finally, 2 appropriate quantifications were proposed in this study: (1) (The equation is abbreviated), where (The equation is abbreviated), S the set of all elements, S(subscript i) the set of elements of i(superscript th) color. (2) (The equation is abbreviated), If i=j, then (The equation is abbreviated), If i=j then (The equation is abbreviated). S is the set of all elements，and S(subscript i) is the set of elements of i(superscript th) color. Quantification H1 focuses on describing the influence of elements to pictorial complexity, and H2 focuses on describing the influence of relationship between each pair of elements to pictorial complexity.

The main purpose of this study aimed to investigate the relationship between two factors (color number and relative area) and pictorial complexity through visual search approach, and the appropriate quantification of the relationship was also concluded via complexity measure approach. The results indicated positive relationship between color number and pictorial complexity when the number of different colors used in a picture is less than 6. The increasing rate becomes graded while more than 6 colors are involved. Besides, the relationship between difference of color areas and complexity value was inverse proportion. Finally, 2 appropriate quantifications were proposed in this study: (1) (The equation is abbreviated), where (The equation is abbreviated), S the set of all elements, S(subscript i) the set of elements of i(superscript th) color. (2) (The equation is abbreviated), If i=j, then (The equation is abbreviated), If i=j then (The equation is abbreviated). S is the set of all elements，and S(subscript i) is the set of elements of i(superscript th) color. Quantification H1 focuses on describing the influence of elements to pictorial complexity, and H2 focuses on describing the influence of relationship between each pair of elements to pictorial complexity.

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