Title :
A quantization error analysis for convergent stereo
Author :
Chang, Chienchung ; Chatterjee, Shankar ; Kube, Paul R.
Author_Institution :
Qualcomm Inc., San Diego, CA, USA
Abstract :
In this paper, a statistical error analysis is developed to show how the performance of a stereo ranging system relies on system parameters. Formulas for expected absolute depth error, expected relative depth error, and lower and upper bounds of depth error are derived. We show that for a given convergence angle, a simple, but important, parameter called generalized depth resolvability completely determines the performance of the system. These results are useful for the design of fixed ranging systems in constrained environments, or for the active selection of system parameters in “purposive” stereo systems
Keywords :
convergence of numerical methods; error analysis; estimation theory; image resolution; quantisation (signal); statistical analysis; stereo image processing; absolute depth error; constrained environments; convergence angle; convergent stereo; design; expected relative depth error; generalized depth resolvability; image resolution; lower bounds; performance; purposive stereo systems; quantization error analysis; statistical error analysis; stereo ranging system; system parameters; upper bounds; Cameras; Convergence; Error analysis; Estimation error; Image converters; Image resolution; Lattices; Quantization; Upper bound; Zirconium;
Conference_Titel :
Image Processing, 1994. Proceedings. ICIP-94., IEEE International Conference
Conference_Location :
Austin, TX
Print_ISBN :
0-8186-6952-7
DOI :
10.1109/ICIP.1994.413668