Fractional Directional Differentiation and Its Application for Multiscale Texture Enhancement

Table 1

Gray level cooccurrence matrix in 0° and 45° directions.

GLCM order	0°				45°
	Contrast	Correlation	Energy	Homogeneity	Contrast	Correlation	Energy	Homogeneity
Original	1.5065	0.8804	0.0334	0.6722	1.8104	0.8564	0.0296	0.6405
−1.0	2.5271	0.8677	0.0493	0.6490	3.1893	0.8331	0.0449	0.6145
−0.9	2.5316	0.8679	0.0462	0.6464	3.2058	0.8327	0.0419	0.6113
−0.8	2.5437	0.8677	0.0430	0.6434	3.2350	0.8318	0.0389	0.6077
−0.7	2.5595	0.8674	0.0400	0.6402	3.2609	0.8311	0.0360	0.6044
−0.6	2.5777	0.8667	0.0370	0.6367	3.2866	0.8301	0.0332	0.6001
−0.5	2.5996	0.8658	0.0343	0.6336	3.3257	0.8283	0.0306	0.5972
−0.4	2.6249	0.8646	0.0318	0.6303	3.3585	0.8268	0.0283	0.5930
−0.3	2.6435	0.8635	0.0294	0.6265	3.3724	0.8259	0.0262	11.5895
−0.2	2.6568	0.8626	0.0275	0.6231	3.3845	0.8250	0.0244	n.586.3
−0.1	2.6742	0.8612	0.0258	0.6192	3.3938	0.8239	0.0229	0.5836
0	2.6799	0.8601	0.0245	0.6172	3.3945	0.8228	0.0217	0.5817
0.1	2.6893	0.8586	0.0235	0.6167	3.3918	0.8217	0.0207	0.5805
0.2	2.6962	0.8569	0.0226	0.6150	3.3955	0.8198	0.0199	0.5787
0.3	2.6966	0.8550	0.0219	0.6143	3.3830	0.8182	0.0192	0.5773
0.4	2.7052	0.8522	0.0214	0.6120	3.3831	0.8152	0.0188	0.5762
0.5	2.7125	0.8485	0.0211	0.6112	3.3922	0.8106	0.0184	0.5741
0.6	2.6820	0.8444	0.0214	0.6116	3.3610	0.8050	0.0186	0.5736
0.7	2.5951	0.8398	0.0222	0.6140	3.2601	0.7988	0.0192	0.5761
0.8	2.5032	0.8351	0.0231	0.6167	3.1603	0.7918	0.0200	0.5783
0.9	2.3749	0.8301	0.0246	0.6228	3.0257	0.7835	0.0212	0.5824
1.0	2.2807	0.8250	0.0257	0.6260	2.9306	0.7751	0.0221	0.5852