The logarithmic image processing (LIP) model is a mathematical
theory providing generalized linear operations for image processing. The
gigavision sensor (GVS) is a new imaging device that can be described by a
statistical model. In this paper, by studying these two seemingly unrelated
models, we develop a generalized LIP (GLIP) model. With the LIP model being its
special case, the GLIP model not only provides new insights into the LIP model
but also defines new image representations and operations for solving general
image processing problems that are not necessarily related to the GVS. A new
parametric LIP model is also developed. To illustrate the application of the
new scalar multiplication operation, we propose an energy-preserving algorithm
for tone mapping, which is a necessary step in image dehazing. By comparing
with results using two state-of-the-art algorithms, we show that the new scalar
multiplication operation is an effective tool for tone mapping.
Keywords: IEEE Project title 2012, Image Processing 2012, Networking Tilte 2012.
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