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are hardly beyond rough estimation: some appoint a value as the resolution threshold
[5, 6] and such process is simple but nevertheless has little to do with real conditions;
some methods take into account some features of imaging instruments and suggest
view-point oriented threshold determination algorithm, but they merely guess the
form of the formula or fit with data to infer the threshold [7, 8]; some eschew the
difficulties of analysis of real conditions to attain the threshold through experiments
empirically[9].
In perspective of acquiring a model close to reality and intensify the credibility of
the results, it is in great need to set up an approach of objects' 3D meshes simplifica-
tion threshold determination, which is supported by background of reality of physics
and is suitable for practical implementation in computer simulation. Relied on these
principles, this paper propose a physics model -- humanoid-eye imaging system
(HIS), which integrates main features of geometric optics imaging and photo- sensing
components of human eyes. By Rayleigh's law and theory of receptors, the definition
and criteria of point-distinguishability (that is, whether object points can be distin-
guished by HIS) are presented and the angle resolving power (ARP) for HIS is de-
fined. Given both of the criteria and the definition, we subsequently calculate the
view-point-dependent resolving power for HIS (in angle and length) as functions of
parameters of HIS and object points' variables such as distance between object points
and HIS, azimuth of object points relative to HIS, deflection of object points and
speeds of object points. For real implementations, the relationship between resolving
powers by wave optics and theory of receptors are evaluated and a judgment is de-
duced to determine resolving power calculation formula for a specific imaging sys-
tem. An experiment with a digital camera as the application of HIS is described and
the results are showed to demonstrate the approach's credibility and reliability in
practice.
The achievement of this paper supplies an innovative means, which is close to real
conditions of human eyes and other imaging systems in practice, to determine the
resolving power scale factor in multi-resolution 3D mesh management and rendering
for graphics-related work (specifically, objects 3D recognition and virtual reality 3D
models rendering, etc.).
2
Composition and Structure of HIS
By now, physiology has gained considerable knowledge of human vision, especially
in the anatomical structure of human eyes and relevant procedure such as optics imag-
ing and photo-sensing [10]. Results from this area show that the real physical struc-
ture of human eyes is complex. But in views of imaging principle and photo-sensing
process, human eyes have substantial amounts of characteristics in common with
various practical optics imaging systems.
Given the abstracted imaging and sensing simplified models, an imaging system,
Humanoid-eye Imaging System, is then constructed as Figure 1 shows. This system is
the physics equivalent model of the whole optical imaging and sensing system of
human eyes. Parameters and components in Figure 1 are explicated as following.
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