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HOCR is abbreviated as Handwritten Optical Character Recognition. HOCR recognizes handwritten characters from a digital image of documents. Shape identification and feature extraction is very important part of any OCR. Feature extraction defines shape of the character as precisely and as uniquely as possible. Zernike moments describes shape, identify rotation invariant due to its orthogonal property. ‘MODI’ is an ancient script of India had cursive and complex representation of characters. The work described in this paper presents efficiency of Zernike moments over Hu's seven moment with zoning for automatic recognition of handwritten ‘MODI’ characters. 82.61% recognition rate was achieved by using zone based approach for Zernike moments.