A Summary of Geometric Level-Set Analogues for a General Class of Parametric Active Contour and Surface Models
Prince, Jerry L.
MetadataShow full item record
Geometric active contours (GACs) and surfaces (GASs) implemented via level set techniques enjoy many advantages over parametric active contours (PACs) and surfaces (PASs), such as computational stability and the ability to change topology during deformation. While many capabilities of earlier PACs and PASs have been reproduced by various GACs and GASs, and while relationships have been discussed for a variety of specific cases, a comprehensive accounting of the connections between these two worlds (particularly regarding rigid forces) has not been consolidated thus far. In this paper we present the precise mathematical relationships between the two for an extensive family of both active contour and surface models, encompassing spatially-varying coefficients, both tension and rigidity, and both conservative and non-conservative external forces. The result is a very general geometric formulation for which the intuitive design principles of PACs and PASs can be applied. We also point out which type of PAC and PAS methodologies cannot be adapted to the geometric level set framework. We conclude by demonstrating several geometric adaptations of specfic PACs and PASs in several simulations.
Showing items related by title, author, creator and subject.
Vaughan, Joshua Eric (Georgia Institute of Technology, 2004-04-12)All vehicles have changing payloads that affect their dynamic response. Compared to passenger vehicles, heavy machinery have larger and more greatly varying payload masses, higher centers of mass, and encounter larger ...
Dealing with Childhood Obesity: Passive versus Active Activity Monitoring Approaches for Engaging Individuals in Exercise Valentin, Giancarlo; Howard, Ayanna M. (Georgia Institute of TechnologyInstitute of Electrical and Electronics Engineers, 2013-02)Childhood obesity is a growing health problem. Indicators show that the rate of obesity for children age 12-19 years old has risen from 5% percent to 18% over the last ten years. Strategies to solve this childhood obesity ...
Directed C-O Activation of Nitrile Functionalized Alkyl Ethers: C-C Cross Coupling Using Redox-active Cobalt Catalysts Bruch, Quinton J. (Georgia Institute of Technology, 2016-07-18)The utility of palladium in cross coupling is driving efforts to find alternatives based on inexpensive, abundant first-row transition metals. Beyond mimicking Pd, base metal catalysts can access entirely new reactions ...