A sensitivity analysis method and its application in physics-based nonrigid motion modeling

• Published in: Image and vision computing Vol. 25; no. 3; pp. 262 - 273
• Main Authors: Zhang, Yong, Goldgof, Dmitry B., Sarkar, Sudeep, Tsap, Leonid V.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.03.2007
• Subjects: Assessments; Discontinuity; Elastic parameters; Heterogeneity; Mathematical models; Nonrigid motion; Perturbation methods; Physical modeling; Recognition; Sensitivity analysis; Nonrigid motion; Physical modeling; Elastic parameters; Sensitivity analysis
• ISSN: 0262-8856; 1872-8138
• DOI: 10.1016/j.imavis.2005.08.007

Parameters used in physical models for nonrigid and articulated motion analysis are often not known with high precision. It has been recognized that commonly used assumptions about the parameters may have adverse effect on modeling quality. In this paper, we present an efficient sensitivity analysis method to assess the impact of those assumptions by examining the model's spatial response to parameter perturbation. Numerical experiments with a synthetic model and skin tissues show that: (1) normalized sensitivity distribution can help determine the relative importance of different parameters; (2) dimensional sensitivity is useful in the assessment of a particular parameter assumption; and (3) models are more sensitive at the locations of property discontinuity (heterogeneity). The formulation of the proposed sensitivity analysis method is general and can be applied to assessment of other types of assumptions, such as those related to nonlinearity and anisotropy.