Volume Rendering Using Splatting
ROGER CRAWFIS, DAQING XUE and CAIXIA ZHANG, The Ohio State University
8.1 The Theory
8.1.1 Reconstruction and Integration
In order to understand volume rendering and splatting, we must first have an appreciation of the continuous reconstruction of functions from discrete or sampled data. Typically, we are given the discrete data without any additional metadata that can be used to help reconstruct the original underlying function from which it was derived. Thus, many assumptions are made about the data, and different reconstruction kernels give rise to different continuous functions. Sampling theory will tell you that if you assume your function was periodic and rather smooth, in fact, so smooth that ...
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