Beschreibung:
This volume comprises some of the key work presented at two IMAWorkshops on Computer Vision during fall of 2000. Recent years haveseen significant advances in the application of sophisticatedmathematical theories to the problems arising in image processing.Basic issues include image smoothing and denoising, image enhancementmorphology, image compression, and segmentation (determiningboundaries of objects-including problems of camera distortion andpartial occlusion). Several mathematical approaches have emergedincluding methods based on nonlinear partial differential equationsstochastic and statistical methods, and signal processing techniquesincluding wavelets and other transform theories.Shape theory is of fundamental importance since it is the bottleneckbetween high and low level vision, and formed the bridge between thetwo workshops on vision. The recent geometric partial differentialequation methods have been essential in throwing new light on thisvery difficult problem area. Further, stochastic processes, includingMarkov random fields, have been used in a Bayesian framework toincorporate prior constraints on smoothness and the regularities ofdiscontinuities into algorithms for image restoration andreconstruction.A number of applications are considered including optical characterand handwriting recognizers, printed-circuit board inspection systemsand quality control devices, motion detection, robotic control byvisual feedback, reconstruction of objects from stereoscopic viewand/or motion, autonomous road vehicles, and many others.
This volume contains papers presented at two successful workshopsintegral to the IMA annual program on Mathematics in Multimedia, 20002001: Image Processing and Low Level Vision, and Image Analysis andHigh Level Vision.
A large deviation theory analysis of Bayesian tree search.- Expectation-based, multi-focal, saccadic vision (understanding dynamic scenes observed from a moving platform).- Statistical shape analysis in high-level vision.- Maximal entropy for reconstruction of back projection images.- On the Monge-Kantorovich problem and image warping.- Analysis and synthesis of visual images in the brain: evidence for pattern theory.- Nonlinear diffusions and optimal estimation.- The Mumford-Shah functional: from segmentation to stereo.- List of workshops participants.