Construction of a Novel Convolution Based Fractional Derivative Mask

Construction of a Novel Convolution Based Fractional Derivative Mask

Image Edge Analysis

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This book presents a new approach in constructing a more efficient fractional derivative mask for image edge analysis based on the definition and properties of convolution. By the definition of convolution, the generalized Strivastiva-Owa's operator was rewritten with its order restricted to the Riemann-Liouville fractional derivative. Applying linearity, commutative and derivative properties of convolution to the resultant expression, a new mask with higher efficiency, memory effect and computational equivalence to the classical edge detector is developed as per the experimental results obtai...