An Algorithm for Fast Computation of 3D Krawtchouk Moments for Volumetric Image Reconstruction

Abstract

Discrete Krawtchouk moments are powerful tools in the field of image processing application and pattern recognition. In this paper we propose an efficient method based on matrix multiplication and symmetry property to compute 3D Krawtchouk moments. This new method is used to reduce the complexity and computational time for 3D object reconstruction. The validity of the proposed algorithm is proved by simulated experiments using volumetric image.

Real-time Computation of Krawtchouk Moments on Gray Images Using Block Representation

“…The moments of the bitplanes p i do not contribute equally to the gray image moments due to the weight factors 2 i , as it is observed from (16). Therefore, the less important binary images contribute less to the moments of the gray image.…”

“…Moments and moments functions have been widely used as features in image analysis and scene analysis [1][2][3][4], in stereo image matching [5], in image retrieval [6], image and object recognition [7][8][9][10] and image watermarking [11][12][13] applications. Other research fields where the moments can be used are classification [14], pattern recognition and 3D image recognition and understanding [15][16][17].…”