Image textures in computed tomography colonography (CTC) have great potential for differentiating non-neoplastic from neoplastic polyps and thus can advance the current CTC detection-only paradigm to a new level toward optimal polyp management to prevent the deadly colorectal cancer. However, image textures are frequently compromised due to noise smoothing and other error-correction operations in most CT image reconstructions. Furthermore, because of polyp orientation variation in patient space, texture features extracted in that space can vary accordingly, resulting in variable results. To address these issues, this study proposes an adaptive approach to extract and analyze the texture features for polyp differentiation. Firstly, derivative operations are performed on the CT intensity image to amplify the textures, e.g. in the 1st order derivative (gradient) and 2nd order derivative (curvature) images, with adequate noise control. Then the Haralick co-occurrence matrix (CM) is used to calculate texture measures along each of the 13 directions (defined by the 1st and 2nd order image voxel neighbors) through the polyp volume in the intensity, gradient and curvature images. Instead of taking the mean and range of each CM measure over the 13 directions as the so-called Haralick texture features, the Karhunen-Loeve transform is performed to map the 13 directions into an orthogonal coordinate system where all the CM measures are projected onto the new coordinates so that the resulted texture features are less dependent on the polyp spatial orientation variation. While the ideas for amplifying textures and stabilizing spatial variation are simple, their impacts are significant for the task of differentiating non-neoplastic from neoplastic polyps as demonstrated by experiments using 384 polyp datasets, of which 52 are non-neoplastic polyps and the rest are neoplastic polyps. By the merit of area under the curve of receiver operating characteristic, the innovative ideas achieved differentiation capability of 0.8016, indicating the feasibility of advancing CTC toward personal healthcare for preventing colorectal cancer.